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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces holomorphic foliation; Chern classes; foliations of ruled surfaces; transversal structure Xavier Gómez-Mont, Holomorphic foliations in ruled surfaces, Trans. Amer. Math. Soc. 312 (1989), no. 1, 179 -- 201. Foliations in differential topology; geometric theory, Rational and ruled surfaces Holomorphic foliations in ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hilbert schemes of points; symmetric functions; vertex algebras Lehn, M., Sorger, C.: Symmetric groups and the cup product on the cohomology of Hilbert schemes. Duke Math. J. \textbf{110}(2), 345-357 (2001). math/0009131 Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives, Symmetric groups, Virasoro and related algebras, Vertex operators; vertex operator algebras and related structures, Group rings of finite groups and their modules (group-theoretic aspects) Symmetric groups and the cup product on the cohomology of Hilbert schemes. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Birch-Swinnerton-Dyer conjecture; sums of squares; class number problem; imaginary quadratic fields; Gauss' conjecture; modular elliptic curve; Hasse-Weil L-function; class-number-one problem \BibAuthorsD. Goldfeld, Gauss' class number problem for imaginary quadratic fields, Bull. Amer. Math. Soc. 13 (1) (1985), 23--37. Class numbers, class groups, discriminants, Quadratic extensions, Algebraic number theory computations, Elliptic curves over global fields, History of mathematics in the 18th century, History of number theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Holomorphic modular forms of integral weight Gauss' class number problem for imaginary quadratic fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces mean values of \(L\)-functions; finite fields; function fields Zeta and \(L\)-functions in characteristic \(p\), \(\zeta (s)\) and \(L(s, \chi)\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The moments and statistical distribution of class number of primes over function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces irreducible closed semialgebraic set; orders of function fields; real algebraic sets Andradas, C.; Gamboa, J. M., On projections of real algebraic varieties, Pacific J. Math., 121, 2, 281-291, (1986) Real algebraic and real-analytic geometry, Real-analytic and Nash manifolds, Ordered fields On projections of real algebraic varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tower of function fields; number of rational places; ihara's constant; cartier operator; \(p\)-rank N. Anbar, P. Beelen, N. Nguyen, A new tower meeting Zink's bound with good \(p\)-rank, appeared online 18 January 2017 in Acta Arithmetica. Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic geometry A new tower with good \(p\)-rank meeting Zink's bound | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite abelian subgroup; skew-symmetric power; generically free linear representations; division algebras Z. Reichstein, B. Youssin, A birational invariant for algebraic group actions, Pacific J. Math., to appear. Available at http://www.math.ubc.ca/ \(\tilde{\;}\)reichst/pub.html Group actions on varieties or schemes (quotients), Rational and birational maps A birational invariant for algebraic group actions. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces homological mirror symmetry; partially wrapped Fukaya category; symmetric products of surfaces; higher-dimensional pairs of pants; modules over non-commutative orders Mirror symmetry (algebro-geometric aspects), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category Homological mirror symmetry for higher-dimensional pairs of pants | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Siegel modular forms; automorphic Borcherds products; theta functions and Jacobi forms; moduli space of abelian and Kummer surfaces; affine Lie algebras and hyperbolic Lie algebras Theta series; Weil representation; theta correspondences, Fourier coefficients of automorphic forms, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Jacobi forms, Other groups and their modular and automorphic forms (several variables), Theta functions and abelian varieties Antisymmetric paramodular forms of weight 3 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces modular function; normalized generator of a function field; moonshine; complex multiplication; class fields over imaginary quadratic fields Chang Heon Kim and Ja Kyung Koo, Arithmetic of the modular function \?_{1,4}, Acta Arith. 84 (1998), no. 2, 129 -- 143. Modular and automorphic functions, Relationship to Lie algebras and finite simple groups, Holomorphic modular forms of integral weight, Algebraic numbers; rings of algebraic integers, Class field theory, Special algebraic curves and curves of low genus Arithmetic of the modular function \(j_{1,4}\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces affine algebras; actions of finite dimensional cocommutative Hopf algebras; Noether's theorem; finite groups of automorphisms; triangular Hopf algebras; quantum-commutative modules; non-commutative determinant functions; symmetric braidings; twist maps; categories of modules; Grassmann algebras; group gradings Cohen, M.; Westreich, S.; Zhu, S., Determinants, integrality and Noether's theorem for quantum commutative algebras, Israel J. math., 96, 185-222, (1996) Automorphisms and endomorphisms, Geometric invariant theory, Determinants, permanents, traces, other special matrix functions Determinants, integrality and Noether's theorem for quantum commutative algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces representation theory; reductive algebraic groups; simple modules; highest weights; character formulas; Weyl's character formula; affine group schemes; injective modules; injective resolutions; derived functors; Hochschild cohomology groups; hyperalgebra; split reductive group schemes; Steinberg's tensor product theorem; irreducible representations; Kempf's vanishing theorem; Borel-Bott-Weil theorem; characters; linkage principle; dominant weights; filtrations; Steinberg modules; cohomology rings; rings of regular functions; Schubert schemes; line bundles; Schur algebras; quantum groups; Kazhdan-Lusztig polynomials J. C. Jantzen, \textit{Representations of Algebraic Groups. Second edition}, Amer. Math. Soc., Providence (2003). Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Group schemes, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups over arbitrary fields Representations of algebraic groups. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Azumaya algebras; actions; symmetric algebras; \(\text{PSL}_ n(\mathbb{C})\); tensor powers; generic \(n\times n\) matrices; generic trace rings; invariants; Artin-Schofield theorem; height one prime ideals Trace rings and invariant theory (associative rings and algebras), Group actions on varieties or schemes (quotients), Vector and tensor algebra, theory of invariants, Actions of groups on commutative rings; invariant theory, Linear algebraic groups over the reals, the complexes, the quaternions, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) Equivariant matrix valued functions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces monomial curve; symmetric numerical semigroup; gluing; Gorenstein; Hilbert function of a local ring; Rossi's conjecture Arslan, F.; Sipahi, N.; Şahin, N., Monomial curve families supporting Rossi's conjecture, J. symbolic comput., 55, 10-18, (2013) Singularities of curves, local rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Semigroups, Symbolic computation and algebraic computation Monomial curve families supporting Rossi's conjecture | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces elliptic curves; function fields; elliptic surfaces; elliptic divisibility sequences; primitive divisors; Zsigmondy bound Elliptic curves, Elliptic curves over global fields, Special sequences and polynomials, Elliptic surfaces, elliptic or Calabi-Yau fibrations Primitive divisors of sequences associated to elliptic curves over function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces valuation rings of function fields; coordinate ring of affine; variety over a real closed field; prime cone Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Valuations and their generalizations for commutative rings Constructions de places réelles dans géométrie semialgébrique. (Constructions of real places in semialgebraic geometry). (Thèse) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces survey; finite dimensional algebras; exceptional curves; noncommutative curves; exceptional sequences of coherent sheaves; weighted projective lines; module categories for canonical algebras; homogeneous curves; finite dimensional tame bimodule algebras; vector bundles with parabolic structures; coordinate algebras; surface singularities; tame hereditary algebras H. Lenzing, Representations of finite dimensional algebras and singularity theory, \textit{Trends in ring theory} (Miskolc, Hungary, 1996), \textit{Canadian Math. Soc. Conf. Proc.,}\textbf{22} (1998), Am. Math. Soc., Providence, RI (1998), 71-97. Representations of quivers and partially ordered sets, Singularities of curves, local rings, Representation type (finite, tame, wild, etc.) of associative algebras, Elliptic curves, Vector bundles on curves and their moduli Representations of finite dimensional algebras and singularity theory | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Sklyanin algebras; graded noncommutative algebras; regularity; Yang- Baxter equation; elliptic curve; line bundle; survey; irreducible finite dimensional \(A\)-modules; category of finitely generated graded modules; point modules; cyclic modules; Hilbert series; projective variety; irreducible modules Smith, S. P., The four-dimensional Sklyanin algebras, \(K\)-Theory. Proceedings of Conference on Algebraic Geometry and Ring Theory in honor of Michael Artin, Part I (Antwerp, 1992), 8, 1, 65-80, (1994) Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations, Elliptic curves, Homological dimension in associative algebras, Noetherian rings and modules (associative rings and algebras), Finite rings and finite-dimensional associative algebras The four-dimensional Sklyanin algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces irreducible characters of Hecke algebras; Jones-Ocneanu trace; equivariant cohomology of sheaves; perverse sheaves; reductive algebraic groups; Hochschild homology; Soergel bimodules Webster, B., Williamson, G.: The geometry of Markov traces. arXiv:0911.4494 Hecke algebras and their representations, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Cohomology theory for linear algebraic groups The geometry of Markov traces. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic families of complex algebraic groups; algebraic families of Lie algebras; commuting involutions; real structure; symmetric pairs; Lie groups Linear algebraic groups over the reals, the complexes, the quaternions, General properties and structure of real Lie groups, Structure of families (Picard-Lefschetz, monodromy, etc.) Algebraic families of groups and commuting involutions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite analytic algebras; modules of differentials; module of; derivations; Hilbert scheme; embedded deformation; computing the Hilbert- Samuel function Modules of differentials, Analytic algebras and generalizations, preparation theorems, Deformations and infinitesimal methods in commutative ring theory, Parametrization (Chow and Hilbert schemes), Software, source code, etc. for problems pertaining to commutative algebra, Morphisms of commutative rings, Formal methods and deformations in algebraic geometry Über Deformationen und Derivationen endlicher \({\mathbb{C}}\)-Algebren. (On deformations and derivations of finite \({\mathbb{C}}\)-algebras) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Chow motive; moduli space; stable vector bundles; Poincaré-Hodge polynomial; symmetric power of a motive; \(\lambda\)-structure on a tensor category; MacDonald theorem; varieties of matrix divisors; standard conjecture of Lefschetz type; semisimplicity of Galois actions; Hodge conjecture; Tate conjecture S. del Baño, \textit{On the Chow motive of some moduli spaces}, J. Reine Angew. Math. \textbf{532} (2001), 105-132. Motivic cohomology; motivic homotopy theory, Algebraic moduli problems, moduli of vector bundles, (Equivariant) Chow groups and rings; motives, Vector bundles on curves and their moduli On the Chow motive of some moduli spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces hyperplane sections; very ample line bundle; spanned line bundle; general position; projective classification of algebraic surfaces; geometrically ruled surfaces Biancofiore A., Pacific Journal of Mathematics 143 pp 9-- (1990) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces On the hyperplane sections of ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces irregular surfaces of general type; symmetric products of elliptic curves; bicanonical map of surfaces Polizzi, F., On surfaces of general type with \(p\)\_{}\{g\} = \(q\) = 1, Collect. Math., 56, 181-234, (2005) Surfaces of general type, Families, moduli, classification: algebraic theory On surfaces of general type with \(p_g=q=1\), \(K^2=3\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative spaces; Frobenius bimodules; sheaves; Noetherian schemes; noncommutative vector bundles; categories of modules; Grothendieck categories Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Bimodules in associative algebras, Module categories in associative algebras, Associative rings of functions, subdirect products, sheaves of rings Frobenius bimodules between noncommutative spaces. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric group of degree 4; ADE singularities; plane rational quartics; \(K3\) surfaces Kulikov, Vik. S., Plane rational quartics and K3 surfaces, Proc. Steklov Inst. Math., 294, 105-140, (2016) \(K3\) surfaces and Enriques surfaces, Rational and ruled surfaces Plane rational quartics and \(K3\) surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces abelian variety; function fields of curves; heights; Néron model Varieties over global fields, Elliptic curves over global fields, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields Torsion sections of abelian fibrations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite fields; pairing-based cryptography; elliptic curves of \(j\)-invariant 1728; Kummer surfaces; rational curves; Weil restriction; isogenies Rational and birational maps, Finite ground fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic geometry, Effectivity, complexity and computational aspects of algebraic geometry, Isogeny, Elliptic curves Hashing to elliptic curves of \(j\)-invariant 1728 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symplectic vector spaces; symplectic reflection algebras; deformations of skew group rings; Poisson algebras; prime ideals Martino M.: The Associated variety of a Poisson Prime Ideal. J. London Math. Soc. 72(2), 110--120 (2005) Noncommutative algebraic geometry, Filtered associative rings; filtrational and graded techniques, Prime and semiprime associative rings, Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Poisson algebras The associated variety of a Poisson prime ideal | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces left symmetric algebras; Lie-admissible algebras; semisimple algebraic groups; algebra of invariants; representations Baues, O., Left-symmetric algebras for \(g l(n)\), \textit{Transactions of the American Mathematical Society}, 351, 7, 2979-2996, (1999) Nonassociative algebras satisfying other identities, Lie algebras of linear algebraic groups, Group actions on varieties or schemes (quotients), Lie-admissible algebras, Representation theory for linear algebraic groups Left-symmetric algebras for \(\mathfrak{gl}(n)\). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Riemann hypothesis in function-fields; algebro-geometric theory of curves and their correspondences Weil, André, Sur les courbes algébriques et les variétés qui s'en déduisent, Actual. Sci. Ind., vol. 1041, (1948), Hermann et Cie: Hermann et Cie Paris Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic problems in algebraic geometry; Diophantine geometry, Curves in algebraic geometry, Arithmetic algebraic geometry (Diophantine geometry), Divisors, linear systems, invertible sheaves, Riemann-Roch theorems Sur les courbes algébriques et les variétés qui s'en déduisent | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces parametrization of ruled surfaces; normality; affine base points; parametrization of rational surfaces Sendra, J. Rafael; Sevilla, David; Villarino, Carlos, Covering rational ruled surfaces, Math. comp., 86, 308, 2861-2875, (November 2017) Computational aspects of algebraic surfaces, Symbolic computation and algebraic computation Covering rational ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces additive decomposition; additive decomposition of forms; Veronese variety; symmetric tensor rank Secant varieties, tensor rank, varieties of sums of powers, Projective techniques in algebraic geometry, Multilinear algebra, tensor calculus Large families of homogeneous polynomials with non-unique additive decompositions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rationality; flasque classes; generic algebras; symplectic groups; orthogonal groups; stably rational field extensions; Noether settings; division rings of generic matrices; fields of invariants E. Beneish, Centers of generic algebras with involution, J. Algebra 294 (2005), no. 1, 41--50. Trace rings and invariant theory (associative rings and algebras), Transcendental field extensions, Finite-dimensional division rings, Integral representations of finite groups, Representations of finite symmetric groups, Geometric invariant theory Centers of generic algebras with involution. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces division points of Drinfeld modules; arithmetic of function fields; class numbers; cyclotomic function fields; zeta-functions; Teichmüller characters; Artin conjecture; Artin L-series; p-adic measure; Main conjecture of Iwasawa theory; Frobenius; p-class groups; Bernoulli- Carlitz numbers Goss, D.: Analogies between global fields. Canad. math. Soc. conf. Proc. 7, 83-114 (1987) Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Fibonacci and Lucas numbers and polynomials and generalizations, Algebraic functions and function fields in algebraic geometry, Iwasawa theory, Cyclotomic extensions, Zeta functions and \(L\)-functions of number fields Analogies between global fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic variety; \(abc\)-conjecture; finiteness theorem for \(S\)-unit points of a diophantine equation; Nevanlinna-Cartan theory over function fields Varieties over global fields, Rational points, Diophantine approximation, transcendental number theory, Nevanlinna theory; growth estimates; other inequalities of several complex variables Value distribution theory over function fields and a diophantine equation | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces principal bundle; projective curve; moduli stack; generalized theta function; Strange Duality; conformal embedding of Lie algebras; space of conformal blocks Boysal, A., Pauly, C.: Strange duality for Verlinde spaces of exceptional groups at level one. Int. Math. Res. Not. (2009). 10.1093/imrn/rnp151 Stacks and moduli problems, Vector bundles on curves and their moduli, Holomorphic bundles and generalizations, Exceptional groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Strange duality for Verlinde spaces of exceptional groups at level one | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces density of integer points; symmetric space; affine variety; volume function; regularizing Eisenstein periods Good, A.: The convolution method for Dirichlet series. In: \textit{The Selberg trace formula and related topics (Brunswick, Maine, 1984)}, volume~53 of \textit{Contemp. Math.}, pages 207-214. Amer. Math. Soc., Providence, RI, (1986) Varieties over global fields, Group actions on varieties or schemes (quotients), Arithmetic varieties and schemes; Arakelov theory; heights, Semisimple Lie groups and their representations, Differential geometry of symmetric spaces Density of integer points on affine homogeneous varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces central simple algebras; Henselian fields; quaternion algebras; conic bundle surfaces; real closed fields; ramification; Fadeev reciprocity law Finite-dimensional division rings, Quadratic forms over general fields, Forms over real fields, Brauer groups (algebraic aspects), Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces \(\Omega\)-algebras over Henselian discrete valued fields with real closed residue field. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces abstract elliptic function fields; divisor class group of finite order Hasse, H., Zur theorie der abstrakten elliptischen funktionenkörper. I. die struktur der gruppe der divisorenklassen endlicher ordnung, J. Reine Angew. Math., 1936, 175, 55-62, (1936) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Zur Theorie der abstrakten elliptischen Funktionenkörper. I: Die Struktur der Gruppe der Divisorenklassen endlicher Ordnung | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces superalgebra; spin structure; BMRR-algebra; graded Riemann surfaces; Krichever-Novikov algebras; graded conformal vector fields Bryant, P.: Graded Riemann surfaces and Krichever-Novikov algebras. Lett. Math. Phys. 19, 97--108 (1990) Lie algebras of vector fields and related (super) algebras, Riemann surfaces; Weierstrass points; gap sequences, Applications of deformations of analytic structures to the sciences, Supermanifolds and graded manifolds, Analysis on supermanifolds or graded manifolds, Quantum field theory on curved space or space-time backgrounds, Supervarieties Graded Riemann surfaces and Krichever-Novikov algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric ring; noncommutative ring; skew PBW extension Ordinary and skew polynomial rings and semigroup rings, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Ring-theoretic aspects of quantum groups Skew PBW extensions over symmetric rings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Picard group; Tamagawa number; Brauer-Manin obstruction; Zbl 0991.72285; asymptotic behaviour; counting function; number of rational points of bounded height; Fano variety; geometric invariants; diagonal cubic surfaces; algorithm Peyre, E.; Tschinkel, Y., \textit{Tamagawa numbers of diagonal cubic surfaces, numerical evidence}, Math. Comp., 70, 367-387, (2001) Rational points, Fano varieties, Heights, Cubic and quartic Diophantine equations, Arithmetic varieties and schemes; Arakelov theory; heights Tamagawa numbers of diagonal cubic surfaces, numerical evidence | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hilbert schemes of points on surfaces; symmetric quotients; Nakajima operators; autoequivalences of derived categories Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Parametrization (Chow and Hilbert schemes), Transcendental methods, Hodge theory (algebro-geometric aspects) \(\mathbb{P}\)-functor versions of the Nakajima operators | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces singular primes in function fields; extension of field of constants; genus Stöhr, K-O, On singular primes in function fields, Arch. Math., 50, 156-163, (1988) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On singular primes in function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polarized \(K3\) surfaces; Tate's conjecture for \(K3\) surfaces; finitely generated fields of odd characteristic; Kuga-Satake abelian varieties Madapusi Pera, K., \textit{the Tate conjecture for K3 surfaces in odd characteristic}, Invent. Math., 201, 625-668, (2015) \(K3\) surfaces and Enriques surfaces The Tate conjecture for \(K3\) surfaces in odd characteristic | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces differential graded Lie algebras; DGLA; symmetric coalgebras; \(L_\infty\)-algebras; functors of Artin rings; Kähler manifolds; period map; Cartan homotopies Fiorenza, D; Manetti, M, A period map for generalized deformations, J. Noncommut. Geom., 3, 579-597, (2009) Variation of Hodge structures (algebro-geometric aspects), Graded Lie (super)algebras, Deformations and infinitesimal methods in commutative ring theory, Period matrices, variation of Hodge structure; degenerations A period map for generalized deformations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polynomial equations of genus zero and one; function field; algorithms; effective determination; diophantine equations in two unknowns; Thue equations; hyperelliptic equations; fundamental inequality; fields of positive characteristic; explicit bounds; solutions in rational functions; superelliptic equations R. C. Mason, \textit{Diophantine Equations over Function Fields.} London Mathematical Society Lecture Note Series, Vol. 96. Cambridge Univ. Press, Cambridge, 1984. \(p\)-adic and power series fields, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic theory of algebraic function fields, Exponential Diophantine equations, Diophantine equations, Approximation to algebraic numbers, Higher degree equations; Fermat's equation, Rational points Diophantine equations over function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces deformations of ruled manifolds; ruled surfaces Rational and ruled surfaces, Formal methods and deformations in algebraic geometry, \(n\)-folds (\(n>4\)) Deformations of ruled manifolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Kashiwara crystals; crystals of tableaux; Stembridge crystals; virtual, fundamental, normal crystals; insertion algorithms; plactic monoid; bicrystals and Littlewood-Richardson rule; crystals for Stanley symmetric functions; patterns; Weyl group action; Demazure crystals; crystals and tropical geometry; Lie algebras; representations Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Research exposition (monographs, survey articles) pertaining to combinatorics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Combinatorial aspects of representation theory, Foundations of tropical geometry and relations with algebra, Combinatorial aspects of tropical varieties Crystal bases. Representations and combinatorics | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generic division algebras; central simple algebras; function fields; Brauer-Severi variety; center; Brauer groups; specializations; irreducibility; Hilbertian fields; involutions [Sa] D. J. Saltman,A note on generic division algebras, Contemporary Mathematics130 (1992), 385--394. Finite-dimensional division rings, Skew fields, division rings, Hilbertian fields; Hilbert's irreducibility theorem, Trace rings and invariant theory (associative rings and algebras), Special varieties, Brauer groups of schemes A note on generic division algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; Noetherian graded rings; noncommutative blowing up and blowing down; Castelnuovo's contraction theorem Noncommutative algebraic geometry, Rational and birational maps, Elliptic curves, Noetherian rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Abelian categories, Grothendieck categories Ring-theoretic blowing down. I. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semisimple Lie group; representation of the fundamental group; Higgs bundle; moduli space; Hermitian symmetric space; Morse function Bradlow, S. B.; García-Prada, O.; Gothen, P. B., Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces, Geom. Dedic., 122, 185-213, (2006) Vector bundles on curves and their moduli, Complex-analytic moduli problems, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Applications of global analysis to structures on manifolds, Moduli problems for topological structures Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces genus; rational places; existence of algebraic function fields; Abelian extensions; different [F-P-S] G. Frey, M. Perret and H. Stichtenoth,On the different of Abelian extensions of global fields, inCoding Theory and Algebraic Geometry (H. Stichtenoth and M. Tsfasman, eds.), Proceedings AGCT3, Luminy June 1991, Lecture Notes in Mathematics1518, Springer, Heidelberg, 1992, pp. 26--32. Arithmetic theory of algebraic function fields, Class field theory, Other abelian and metabelian extensions, Algebraic functions and function fields in algebraic geometry On the different of Abelian extensions of global fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded subalgebras; tensor algebras; S-algebras; invariant algebras; Endlichkeitssatz; noncommutative invariants; generating functions; Hilbert series Automorphisms and endomorphisms, Brauer groups of schemes, Vector and tensor algebra, theory of invariants, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Representations of finite symmetric groups, Combinatorial aspects of representation theory, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) S-algebras and commutative rings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded skew Clifford algebras; graded Clifford algebras; Artin-Schelter regular algebras; noncommutative algebraic geometry; complete intersections; quadratic algebras Cassidy, T.; Vancliff, M., Corrigendum to ``generalizations of graded Clifford algebras and of complete intersections'', Journal of the London Mathematical Society, 90, 631-636, (2014) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Clifford algebras, spinors, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Corrigendum: ``Generalizations of graded Clifford algebras and of complete intersections'' | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Analytic varieties; Proceedings; Symposium; Kyoto; RIMS; pseudoconvex domain; analytic varieties; Moduli spaces; compact Kähler manifolds; automorphism groups of certain compact Riemann surfaces; Logarithmic vector fields; Coxeter equality; Analytic K-theory; meromorphic maps into \(P^ N({\mathbb{C}})\); H. Cartan's theorems; Riemann- Hilbert problems; duality theorem; pseudoconvex region; rational homotopy type of open varieties; de Rham homotopy; combinatorial space forms Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, Proceedings, conferences, collections, etc. pertaining to algebraic topology, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings of conferences of miscellaneous specific interest, Duality theorems for analytic spaces, Complex-analytic moduli problems, Holomorphic mappings and correspondences, Compact complex surfaces, Complex Lie groups, group actions on complex spaces, Compact Riemann surfaces and uniformization Various problems on analytic varieties. Proceedings of a Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, February 4-7, 1980 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces arithmetic of rational points; varieties over function fields; cardinaltiy of the set of fibrations; uniform boundedness of rational points; distribution of rational points Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Rational points Remarks about uniform boundedness of rational points over function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces moduli spaces; number fields; central simple algebras; Kummer surfaces; \(K3\) surfaces; Hasse principle \(K3\) surfaces and Enriques surfaces Arithmetic of \(K3\) surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Riemann surfaces; algebraic curves; automorphisms; fields of moduli Hidalgo, Rubén A., Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals, Arch. Math. (Basel), 93, 3, 219-224, (2009) Automorphisms of curves, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces sectional genus; classification of irregular ruled surfaces; very ample line bundle; iterating the adjunction process Biancofiore A., Livorni E.L.:Algebraic ruled surfaces with low sectional genus.Ricerche di Matematica.Vol.XXXVI,fasc.1{\(\deg\)} (1987) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Moduli, classification: analytic theory; relations with modular forms Algebraic ruled surfaces with low sectional genus | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bogomolov conjecture over function fields; discrete embedding of curve; Néron-Tate height pairing; admissible pairing; Green function; semistable arithmetic surface A. Moriwaki, Bogomolov conjecture over function fields for stable curves with only irreducible fibers, Compos. Math. 105 (1997), 125-140. Algebraic functions and function fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Picard groups Bogomolov conjecture over function fields for stable curves with only irreducible fibers | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces distribution of ideal class groups of imaginary quadratic fields; distribution of class groups of hyperelliptic function fields; \(\ell\)-adic Tate module; equidistribution conjecture; Cohen-Lenstra principle Friedman, Eduardo; Washington, Lawrence C., On the distribution of divisor class groups of curves over a finite field.Théorie des nombres, Quebec, PQ, 1987, 227\textendash 239 pp., (1989), de Gruyter, Berlin Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry On the distribution of divisor class groups of curves over a finite field | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces function fields; plane cubics of genus one; exceptional points Nagell, T. Les points exceptionnels sur les cubiques planes du premier genre II, Nova Acta Reg. Soc. Sci. Ups., Ser. IV, vol 14, n:o 3, Uppsala 1947. Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences Les points exceptionnels sur les cubiques planes du premier genre. II | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cyclotomic function fields; arithmetic of Witt vectors; Artin-Schreier extensions; maximal abelian extension; ramification theory Cyclotomic function fields (class groups, Bernoulli objects, etc.), Cyclotomic extensions, Class field theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Analog of the Kronecker-Weber theorem in positive characteristic | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Stickelberger element; Galois module structure; Gras conjecture; Drinfeld modules; Herbrand criterion; crystalline cohomology; zeta-functions for function fields over finite fields; L-series; Teichmüller character; characteristic polynomial of the Frobenius; p-adic Tate-module; p-class groups; cyclotomic function fields; 1-unit root Goss, D., Sinnott, W.: Class-groups of function fields. Duke Math. J. 52(2), 507--516 (1985). http://www.ams.org/mathscinet-getitem?mr=792185 Arithmetic theory of algebraic function fields, \(p\)-adic cohomology, crystalline cohomology, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Iwasawa theory Class-groups of function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces zeta functions; distribution of zeros; \(L\)-functions; finite fields; automorphic \(L\)-functions; GUE measure; Montgomery-Odlyzko law; normalized spacings; Wigner measure; Kolmogoroff-Smirnov discrepancy function; generalized Sato-Tate conjecture; low-lying zeros; \(L\)-functions of elliptic curves; spacings of eigenvalues; Haar measure; Fredholm determinants; Deligne's equidistribution theorem; monodromy; Kloosterman sums N.M. Katz and P. Sarnak. \textit{Random matrices, Frobenius eigenvalues, and monodromy, vol. 45 of American Mathematical Society Colloquium Publications}. American Mathematical Society, Providence, RI (1999). Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, \(\zeta (s)\) and \(L(s, \chi)\), Analytic computations, Structure of families (Picard-Lefschetz, monodromy, etc.), Varieties over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Limit theorems in probability theory Random matrices, Frobenius eigenvalues, and monodromy | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces towers of function fields; genus; number of places [HST]F. Hess, H. Stichtenoth and S. Tutdere, On invariants of towers of function fields over finite fields, J. Algebra Appl. 12 (2013), no. 4, #1250190. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On invariants of towers of function fields over finite fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces function fields; integral moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; ratios conjecture Zeta and \(L\)-functions in characteristic \(p\), \(\zeta (s)\) and \(L(s, \chi)\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The integral moments and ratios of quadratic Dirichlet \(L\)-functions over monic irreducible polynomials in \(\mathbb{F}_q [T]\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces valued function fields; genus change; algebraic function field; reduction of constants; rigid analytic geometry; non-discrete valuation; defect; ramification index Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Non-Archimedean valued fields, Arithmetic ground fields for surfaces or higher-dimensional varieties Genre des corps de fonctions valués après Deuring, Lamprecht et Mathieu. (Genus of valued function fields after Deuring, Lamprecht and Mathieu) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cohomology of function field of a curve; complete discretely valued field; function ring of curves; existence of noncrossed product division algebras; function field of \(p\)-adic curve E. Brussel and E. Tengan, \textit{Formal constructions in the Brauer group of the function field of a p-adic curve}, Transactions of the American Mathematical Society, to appear. Brauer groups of schemes, Curves over finite and local fields, Brauer groups (algebraic aspects), Finite-dimensional division rings Formal constructions in the Brauer group of the function field of a \(p\)-adic curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Schur function; vanishing theorem; tensor powers of an ample vector bundle Laytimi F., Nahm W.: On a vanishing problem of Demailly. Int. Math. Res. Not. 47, 2877--2889 (2005) Vanishing theorems, Vanishing theorems in algebraic geometry On a vanishing problem of Demailly | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generalized double affine Hecke algebras of rank 1; quantized del Pezzo surfaces Etingof, P.; Oblomkov, A.; Rains, E., \textit{generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces}, Adv. Math., 212, 749-796, (2007) Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Hecke algebras and their representations Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces unramified class theory; reciprocity map; surfaces over local fields; Milnor \(K\)-groups; Chow groups; semistable reduction; deformation of degenerate hypersurfaces Sato K. (2005). Non-divisible cycles on surfaces over local fields. J. Number Theory 114(2): 272--297 Generalized class field theory (\(K\)-theoretic aspects), Varieties over finite and local fields, Geometric class field theory, Algebraic cycles, \(K3\) surfaces and Enriques surfaces Non-divisible cycles on surfaces over local fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polarized Abelian surfaces; arithmetic lifting; Lorentzian Kac-Moody algebras; Siegel modular forms; paramodular groups of genus 2; moduli space Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Relationship to Lie algebras and finite simple groups, Modular and Shimura varieties, Algebraic moduli of abelian varieties, classification, \(K3\) surfaces and Enriques surfaces, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Heights, Complex multiplication and moduli of abelian varieties Precious Siegel modular forms of genus two | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces families of low dimensions; deformations of complex structures; analytic moduli problem; compact surfaces; removable singularities; fibres; local triviality; degeneracy loci; ruled surfaces; Hopf surfaces; Inoue surfaces Complex-analytic moduli problems, Deformations of complex structures, Families, moduli of curves (analytic), Rational and ruled surfaces, Compact complex surfaces, Surfaces of general type Singular loci in holomorphic families | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative matrices; strongly nilpotent matrices; Jacobian conjecture; tensor algebras DOI: 10.1080/03081089608818472 Canonical forms, reductions, classification, Automorphisms of curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Noncommutative-nilpotent matrices and the Jacobian conjecture | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Zariski dense rational points; \(K3\) surfaces; abelian fibrations; symmetric product of a \(K3\) surface; Abelian fibration Hassett B. and Tschinkel Yu. (2000). Abelian fibrations and rational points on symmetric products. Int. J. Math. 11: 1163--1176 Rational points, Fibrations, degenerations in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Arithmetic ground fields for surfaces or higher-dimensional varieties Abelian fibrations and rational points on symmetric products | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces flat deformations of associative algebras; Witt vectors; bivector fields; tangent vector fields; hamiltonian vector fields; Poisson algebras; Frobenius map Stewart, I; Vologodsky, V, On the center of the ring of differential operators on a smooth variety over \(\mathbb{Z}\)/\(p\)\^{}\{\(n\)\}\(\mathbb{Z}\), Compos. Math., 149, 63-80, (2013) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Witt vectors and related rings, Positive characteristic ground fields in algebraic geometry, Rings of differential operators (associative algebraic aspects), Deformations of associative rings On the center of the ring of differential operators on a smooth variety over \(\mathbb{Z}/p^n{\mathbb Z}\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric product orbifold of \(\mathcal{N} = 4\) SCFT; marginal deformations; twisted Ramond fields; correlation functions; anomalous dimensions Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics, Topology and geometry of orbifolds, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Formal methods and deformations in algebraic geometry, Perturbative methods of renormalization applied to problems in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Microstate renormalization in deformed D1-D5 SCFT | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(\mathbb A^1\)-homotopy; algebraic \(K\)-theory; Witt vectors; sheaf of dg algebras; dg orbit category; cluster category; du val singularities; noncommutative algebraic geometry Tabuada, Gonçalo, \(\mathbb{A}^1\)-homotopy invariance of algebraic \(K\)-theory with coefficients and du Val singularities, Ann. K-Theory, 2, 1, 1-25, (2017) Noncommutative algebraic geometry, Singularities of curves, local rings, \(K\)-theory of schemes, Klein surfaces, Witt vectors and related rings \(\mathbb A^1\)-homotopy invariance of algebraic \(K\)-theory with coefficients and du Val singularities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Teichmüller space; algebras of geodesic functions; Riemann surfaces with boundary; quantization; Darboux coordinates Chekhov, L.; Mazzocco, M., Colliding holes in Riemann surfaces and quantum cluster algebras, Nonlinearity, 31, 54, (2018) Cluster algebras, Relationships between surfaces, higher-dimensional varieties, and physics, Triangulating manifolds, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Relations of low-dimensional topology with graph theory, Riemann surfaces; Weierstrass points; gap sequences, Quantum groups (quantized enveloping algebras) and related deformations, Teichmüller theory for Riemann surfaces Colliding holes in Riemann surfaces and quantum cluster algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces classification up to isomorphism; elementary equivalence; function fields over algebraically closed fields; function fields of curves; elliptic curves D. Pierce , Function fields and elementary equivalence . Bull. London Math. Soc. 31 ( 1999 ), 431 - 440 . MR 1687564 | Zbl 0959.03022 Model-theoretic algebra, Algebraic functions and function fields in algebraic geometry, Elliptic curves, Model theory (number-theoretic aspects), Properties of classes of models Function fields and elementary equivalence | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces global function fields; genus; geometry of numbers D. Kettlestrings and J.L. Thunder, The number of function fields with given genus, Contem. Math. 587 (2013), 141--149. Arithmetic theory of algebraic function fields, Global ground fields in algebraic geometry The number of function fields with given genus | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces geometric heights; section of surjective morphisms; Mordell conjecture over function fields Esnault, Hélène; Viehweg, Eckart, Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields, Compos. Math., 0010-437X, 76, 1-2, 69\textendash 85 pp., (1990) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for surfaces or higher-dimensional varieties Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative geometry; noncommutative deformation of scheme; noncommutative schemes; operator algebras; crossed products; category of quasi-coherent sheaves Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Noncommutative algebraic geometry, Noncommutative differential geometry, Noncommutative topology Constructions on non commutative schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Aomoto-Gelfand hypergeometric function; period map; family of K3 surfaces K. Matsumoto, T. Sasaki and M. Yoshida: The period of a 4-parameter family of K3 surfaces and the Aomoto-GePfand hypergeometric function of type (3, 6). Proc. Japan Acad., 64A, 307-310 (1988). \(K3\) surfaces and Enriques surfaces, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Families, moduli, classification: algebraic theory, Period matrices, variation of Hodge structure; degenerations The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces infinitesimally faithful representations; reductive complex connected algebraic groups; Lie algebras; representation spaces; fields of rational functions; Cayley transforms; coordinate rings; regular orbits; varieties of unipotent elements Kostant, B.; Michor, P.; Christian, Duval, The generalized Cayley map from an algebraic group to its Lie algebra, \textit{Prog. Math.}, 213, 259-296, (2003), Birkhäuser, Boston, MA Representation theory for linear algebraic groups, Simple, semisimple, reductive (super)algebras, Lie algebras of linear algebraic groups, Classical groups (algebro-geometric aspects), Linear algebraic groups over the reals, the complexes, the quaternions, Representations of Lie and linear algebraic groups over local fields The generalized Cayley map from an algebraic group to its Lie algebra. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces parametrizable surfaces; tensor-product Bézier surfaces; geometric design; projective classes of bidegree (2, 1) parametrizable surfaces; real projective 3-space S. Zubė, Bidegree (2,1) parametrizable surfaces in projective 3-space, Liet. Mat. Rink. 38 (1998), no. 3, 379 -- 402 (English, with English and Lithuanian summaries); English transl., Lithuanian Math. J. 38 (1998), no. 3, 291 -- 308 (1999). Projective analytic geometry, Computer science aspects of computer-aided design, Computational aspects of algebraic surfaces Bidegree \((2,1)\) parametrizable surfaces in projective 3-space | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces elliptic curves over global fields; arithmetic surfaces; zeta function; zeta integral; two-dimensional adelic spaces; harmonic analysis; Hasse zeta functions; analytic duality; boundary term; meromorphic continuation and functional equation; mean-periodic functions; Laplace; Carleman transform; generalized Riemann hypothesis; Birch and Swinnerton; Dyer conjecture; automorphic representations Fesenko, I.: Adelic approach to the zeta function of arithmetic schemes in dimension two. Moscow Math. J. \textbf{8}(2), 273-317 (2008) (http://www.maths.nottingham.ac.uk/personal/ibf/ada.pdf) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Generalized class field theory (\(K\)-theoretic aspects) Adelic approach to the zeta function of arithmetic schemes in dimension two | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces function fields; finite fields; hyperelliptic curves; lower bounds for moments; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Andrade, J. C.: Rudnick and soundararajan's theorem for function fields. Finite fields appl. 37, 311-327 (2016) Zeta and \(L\)-functions in characteristic \(p\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Rudnick and Soundararajan's theorem for function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces AG codes; towers of function fields; generalized Hamming weights; order bounds; Arf semigroups; inductive semigroups Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Calculation of integer sequences, Commutative semigroups On the second Feng-Rao distance of algebraic geometry codes related to Arf semigroups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces multiplicative structure; skew fields over number fields; Hasse; norm principle; algebraic group; group of rational points; quadratic forms; Skolem-Noether theorem; algebra of quaternions; class field theory; direct subgroup; Spin(f); SL(1,D); trace Platonov V P and Rapinchuk A S, Proceedings of Steklov Institute of Math. 1985, Issue 3 Quaternion and other division algebras: arithmetic, zeta functions, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Linear algebraic groups over global fields and their integers, Class field theory, Algebras and orders, and their zeta functions, Rational points The multiplicative structure of division rings over number fields and the Hasse norm principle | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Fourier-Mukai partners; elliptic surfaces; elliptic fibrations; elliptic ruled surfaces; autoequivalences; group of autoequivalences Uehara, Hokuto, Fourier-Mukai partners of elliptic ruled surfaces, Proc. Amer. Math. Soc., 145, 8, 3221-3232, (2017) Elliptic surfaces, elliptic or Calabi-Yau fibrations Fourier-Mukai partners of elliptic ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded skew Clifford algebras; graded Clifford algebras; Artin-Schelter regular algebras; noncommutative algebraic geometry; complete intersections; quadratic algebras Cassidy, T., Vancliff, M.: Generalizations of Graded Clifford algebras and of complete intersections. J. Lond. Math. Soc. \textbf{81}, 91-112 (2010). (Corrigendum: \textbf{90}(2), 631-636 (2014)) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Clifford algebras, spinors, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Generalizations of graded Clifford algebras and of complete intersections. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer groups; division algebras; central simple algebras; symbol algebras; cyclic algebras; cubic curves; ramification divisors; rational function fields [Fo] T. Ford,Division algebras that ramify only along a singular plane cubic curve, New York Journal of Mathematics1 (1995), 178--183, http://nyjm.albany.edu:8000/j/v1/ford.html. Finite-dimensional division rings, Arithmetic theory of algebraic function fields, Quaternion and other division algebras: arithmetic, zeta functions, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry Division algebras that ramify only along a singular plane cubic curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hasse-Weil bound; number of points; extension fields; exponential sums; function fields over finite fields Varieties over finite and local fields, Exponential sums, Other character sums and Gauss sums, Arithmetic ground fields for curves A comparision of the number of rational places of certain function fields to the Hasse-Weil bounds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces triangulations of Riemann surfaces; ramified coverings of Riemann surfaces; irreducible characters of the symmetric group Klyachko, A.; Kurtaran, E.: Some identities and asymptotics for characters of the symmetric group. J. algebra 206, 413-437 (1998) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Representations of finite symmetric groups, Combinatorial aspects of representation theory Some identities and asymptotics for characters of the symmetric group | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces central division algebras over the function field of a curve; Brauer group; elliptic curves V. I. Yanchevskiĭ and G. L. Margolin, Brauer groups of local hyperelliptic curves with good reduction, Algebra i Analiz 7 (1995), no. 6, 227 -- 249 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 7 (1996), no. 6, 1033 -- 1048. V. I. Yanchevskiĭ and G. L. Margolin, Erratum: ''Brauer groups of local hyperelliptic curves with good reduction'', Algebra i Analiz 8 (1996), no. 1, 237 (Russian). Brauer groups of schemes, Elliptic curves, Quaternion and other division algebras: arithmetic, zeta functions The Brauer groups of local hyperelliptic curves with good reduction | 0 |