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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic form; quasilinear quadratic form; quasi-Pfister form; quasi-Pfister neighbor; isotropy; isotropy index; function field of a quadric | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements ordered basis; homogeneous root system; reflections; quasi-Coxeter elements; braid group; monodromy | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quantum statistical model; \(C^*\)-dynamical system; commensurable class of \(Q\)-lattice; KMS state; Type \(\text{II}_1\)-factor; modular field; Eisenstein series A. Connes and M. Marcolli, ''From physics to number theory via noncommutative geometry. Part I: Quantum statistical mechanics of Q-lattices,'' in Frontiers in Number Theory, Physics, and Geometry, I pp. 269--350 (Springer Verlag, 2006). | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements index of regularity; Hilbert function; plurigenera; number of integral points; Newton polyhedra; resolution; complete intersection singularity Marcel Morales, Resolution of quasihomogeneous singularities and plurigenera, Compositio Math. 64 (1987), no. 3, 311 -- 327. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements elliptic curves with complex multiplication; elliptic curves over an imaginary quadratic field; Iwasawa theory; supersingular primes; Schneider-Greenberg conjecture; \(p^ m\)-torsion subgroups; \(\mathbb{Z}_ p\)-cyclotomic extensions; maximal proextensions; special values of modular \(L\)-functions; elliptic units Mcconnell, G.: On the Iwasawa theory of CM elliptic curves at supersingular primes, Compos. math. 101, 1-19 (1996) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements invariants preserving transformations; determinant; trace; rank; R-linear transformations; survey article; Picard group; R-submodules; group schemes; exact sequence in non-abelian cohomology | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements flag varieties; line bundles; integrable systems; Darboux transformations; Miura transform; integrable deformations; linear systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(K3\) surface, double cover family of \(K3\) surfaces, period, mirror map, \(K3\) lambda function, hypergeometric system, mirror symmetry | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements fat point; Hilbert function; minimal number of homogeneous generators; minimal free resolution | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements orthogonal groups; moduli space of hyperelliptic curves; Plücker morphism R. Sasaki, Moduli space of hyperelliptic curves of genus two with level \((2,4)\) structure and the special orthogonal group of degree three, Kyushu J. Math., 53 (1999), 333-361. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements fully commutative elements; nilpotent orbits; ad-nilpotent ideals of Borel subalgebras | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements lower bound; logarithms of algebraic points on an algebraic group; simultaneous independent linear forms Hirata-Kohno, N.: Approximations simultanées sur LES groupes algébriques commutatifs. Compositio math. 86, 9-96 (1993) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano-Mori fibre space; birational rigidity; maximal singularity; hypertangent divisor; log canonical singularity; linear system; canonical class Pukhlikov, A. V., Birationally rigid Fano fibrations. II, Izv. Ross. Akad. Nauk Ser. Mat., 79, 175-204, (2015) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements fat points; line arrangements; linear systems; splitting types of vector bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cohomology groups; complete linear system; monoidal transformation; Picard group; rational surface | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano manifolds; families of lines; covered by linear spaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements characteristic p; system of parameters; d-sequence; Buchsbaum ring; finite local cohomology Goto, S., Ogawa, T.: A Note on Rings with Finite Local Cohomology. Tokyo J. Math.6, 403--411 (1983) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements analysis and modelling of signals; discrete linear stochastic signals; estimation algebras; Grassmannian representations of matrix transfer functions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Weierstrass point; Brill-Noether theory; Kodaira dimension; degenerations; smoothings of linear series; moduli space of curves of genus g; monodromy group Eisenbud, D., Harris, J.: The irreducibility of some families of linear series. (Preprint 1984) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equisingular families of curves; prescribed singularities; fat points schemes Keilen, T.: Reducible families of curves with ordinary multiple points on surfaces in projective three-space, Comm. in algebra 34,5, 1921-1926 (2006) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements local uniformization; resolution of singularities Knaf H. and Kuhlmann F.-V., Every place admits local uniformization in a finite extension of the function field, Adv. Math. 221 (2009), 428-453. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of surface singularities; Newton polygon; equimultiple locus; blowup | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements maximum for the dimension of linear series of given degree on a smooth plane curve of degree d C. Ciliberto , Alcune applicazioni di un classico procedimento di Castelnuovo , Sem. di variabili Complesse, Univ. di Bologna, 1982-83,17-43. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Beilinson conjectures; motives; Hecke characters of imaginary quadratic fields; regulator map; \(p\)-adic \(K\)-theory; Galois cohomology group; \(p\)-adic \(L\)-series Geisser, p-adic K-theory of Hecke characters of imaginary quadratic fields and an analogue of Beilinson's conjectures, Duke Math. J. 86 (2) pp 197-- (1997) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements qubits; entanglement; system of parameters; Gorenstein; Cohen-Macaulay DOI: 10.1007/s10440-005-0471-3 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements germs of analytic plane curves; moduli space of germs; Tjurina number; equisingular miniversal deformation Peraire, R.: Moduli of plane curve singularities with a single characteristic exponent, Proc. amer. Math. soc. 126, No. 1, 25-34 (1998) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semi-abelian analogue of Schanuel's conjecture; linear disjointness; algebraic independence; semi-abelian exponential; generalized semi-abelian logarithm | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements unipotent elements; nilpotent elements; special orthogonal groups; unipotent classes; unipotent pieces; reductive connected algebraic groups; varieties of Borel subgroups G. Lusztig, Unipotent elements in small characteristic, III, J. Algebra 329 (2011), 163--189. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements exterior power; algebra of minors; orbit structure; singular locus; general linear group Bruns, W.; Conca, A.: The variety of exterior powers of linear maps, J. algebra 322, 2927-2949 (2009) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements general linear groups; Borel subgroups; Lie algebras of matrices; Lie ideals; dense orbits; quasi-hereditary algebras; dimension vectors Goodwin, S.M., Hille, L.: Prehomogeneous spaces for Borel subgroups of general linear groups. Transform. Groups (to appear) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic geometry; syzygies; projective normality; normal presentation; higher dimensional varieties with nef canonical bundle; Fujita's conjecture; pluricanonical linear systems on varieties of general type | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements homological dimension; linear resolutions; Diophantine equations; ternary quadratic forms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements abelian varieties; Jacobians; automorphisms of curves; abelian functions; soliton equations; integrable Hamiltonian systems; Poincaré reducibility; KP equation; KdV equation; Krichever theory; Calgorero-Moser system Emma Previato, Some integrable billiards, SPT 2002: Symmetry and perturbation theory (Cala Gonone), World Sci. Publ., River Edge, NJ, 2002, pp. 181 -- 195. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements modification; survey; tangent hyperplanes; normal surface singularity; Milnor numbers; tangent cone; resolution of normal surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements injective homomorphism of product of local rings; length formulas for the local cohomology; module of differential forms on a complete intersection with isolated singularity Bruns, W. andVetter, U., Length formulas for the local cohomology of exterior powers,Math. Z. 191, (1986), 145--158. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polynomial; isolated zero of a system of polynomials; multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Brill-Noether theory; moduli space of curves, divisors on the moduli space of curves; linear series; special divisors Choi, Y.; Kim, S.; Kim, Y.: Remarks on brill-Noether divisors and Hilbert schemes, J. pure appl. Algebra 216, 377-384 (2012) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements general linear group; symmetric product; complete reducibility; irreducible representations; space of invariants; symmetric group | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quasianalytic; Denjoy-Carleman class; resolution of singularities Bierstone E., Milman P.D.: Resolution of singularities in Denjoy-Carleman classes. Selecta Math. (N.S.) 10(1), 1--28 (2004) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements surfaces of general type; rational double points; linear systems; intermediated embeddings; \((-2)\)-curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Transformations of abelian functions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; curves; surfaces; threefolds Hauser [Hauser 00] H., Resolution of Singularities (2000) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; curve singularities B. Teissier, Introduction to curve singularities, Singularity theory (Trieste, 1991), World Scientific Publishing (1995), 866-893. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic forms; pair of forms; asymptotic formula; smooth intersection; Delta-method; Kloosterman refinement; double Kloosterman refinement R. Munshi, Pairs of quadrics in 11 variables, preprint (2013), . | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements System of equations; roots; algebraic funcion; determinant | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements real toric variety; shellability; root system of type B | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements extension of varieties; Veronesean varieties; Segre varieties; not hyperplane sections; quadratic equations; not a complete inersection L'vovski S.M. (1989) On the extension of varieties defined by quadratic equations. Math. USSR Sbornik 63: 305--317 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Green's conjecture; linear series Clifford index; rational ribbon; resolution Clifford index; canonical curve conjecture D. Eisenbud and M. Green, Clifford indices of ribbons, Trans. Amer. Math. Soc. 347 (1995), no. 3, 757--765. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements system of congruences; Poincaré series; p-adic units; poles; singularities Jay R. Goldman, Numbers of solutions of congruences: Poincaré series for algebraic curves, Adv. in Math. 62 (1986), no. 1, 68 -- 83. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements normal excellent equicharacteristic local rings; effective Weil divisor; global functions; Cartier divisor; resolution of singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements supersingular curve; complete Edwards curve; twisted Edwards curve; quadratic Edwards curve; torsion pair; order of point; Legendre symbol; quadratic residue; quadratic nonresidue | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Birch--Swinnerton-Dyer conjecture; rank; group of rational points; elliptic curves; class number; quadratic fields | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements k-gonal curve; double cover of a nonsingular complete curve; linear series Del Centina, A.: \(g{\kappa}1\) on an unramified double cover of a k-gonal curve and applications. Rend. sem. Mat. Torino 41, 53-63 (1983) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Painlevé equations; birational canonical transformations; Hamiltonian system Okamoto, Kazuo, Studies on the {P}ainlevé equations. {III}. {S}econd and fourth {P}ainlevé equations, {\(P_{{\mathrm II}}\)} and {\(P_{{\mathrm IV}}\)}, Mathematische Annalen, 275, 2, 221-255, (1986) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements singular quadratic complexes; quintic curves; Cremona transformations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements apolarity; Gorenstein algebra; sum of powers of linear forms; catalecticant matrices; determinantal loci; punctual Hilbert schemes Anthony Iarrobino and Vassil Kanev. \textit{Power Sums, Gorenstein Algebras, and Determinantal Loci}. Lecture Notes in Mathematics. Springer, 1999. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements birational transformations; representability of functors; Zariski topology; algebraic groups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Frobenius map; tight closure; Hochster-Roberts theorem; rings of invariants; Briançon-Skoda theorem; vanishing theorems; adjoint linear series Karen E. Smith, Tight closure and vanishing theorems, School on Vanishing Theorems and Effective Results in Algebraic Geometry (Trieste, 2000) ICTP Lect. Notes, vol. 6, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2001, pp. 149 -- 213. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements irreducibility of system of irreducible plane curves; abelian; fundamental group of the complement of a nodal plane curve; degree n Oscar Zariski, On the problem of irreducibility of the algebraic system of irreducible plane curves of a given order and having a given number of nodes, Arithmetic and geometry, Vol. II, Progr. Math., vol. 36, Birkhäuser Boston, Boston, MA, 1983, pp. 465 -- 481. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano complete intersection; maximal singularity; mobile linear system; multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(K3\) surface; Kummer quartic; minimal resolution of singularities; singular plane Naruki I. (1991). On metamorphosis of Kummer surfaces. Hokkaido Math. J. 20(2): 407--415 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(SL_ 2\); algebra of invariant polynomials; coregular linear groups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements spectral space and spectral map; star and semistar operations; Zariski, constructible, inverse and ultrafilter topologies; Gabriel-Popescu localizing system; Riemann-Zariski space of valuation domains; Kronecker function ring Finocchiaro, Carmelo A.; Fontana, Marco; Spirito, Dario, New distinguished classes of spectral spaces: a survey, (Multiplicative Ideal Theory and Factorization Theory: Commutative and Non-Commutative Perspectives, (2016), Springer Verlag) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements counting; equidistribution; rational points; mixing; symmetric spaces; polar decomposition; resolution of singularities Y. Benoist, Effective equidistribution of \(S\)-integral points on symmetric varieties, Ann. Inst. Fourier (Grenoble), 62, 1889, (2012) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear syzygies; graded Betti numbers; partial elimination ideals; inner projection; varieties of small degree Han, K.; Kwak, S.: Sharp bounds for higher linear syzygies and classifications of projective varieties. Math. ann. 361, No. 1, 535-561 (2015) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements multiplicity; local ring; graded linear series; projective scheme; volume of a line bundle; Kodaira-Iitaka dimension S. D. Cutkosky, ''Multiplicities of graded families of linear series and ideals,'' arXiv: 1301.5613 [math.AG]. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements neural network of final ring; secret sharing schemes; system of residual classes; elliptic curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements generating functions; transitive permutation factorizations; symmetric functions; Jucys-Murphy elements; contents of partitions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements purely inseparable extension of exponent 1; Brauer group; p-symbols; transformation formulas; differential p-crossed products | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(ETH\)-cofinite modules; local cohomology; Serre subcategories; system of ideals | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algorithm for subsystems of a root system; simple elliptic singularities; singular del Pezzo surfaces; Coxeter diagram; intersections of two quadrics; deformations of singularities C.\ T.\ C. Wall, Root systems, subsystems and singularities, J. Alg. Geom. 1 (1992), 597-638. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements deformation spaces of plane curve singularities; equisingular locus; equigeneric locus; equiclassical locus; dimensions of families of plane curves Diaz, S., and Harris, J.: Ideals associated to deformations of singular plane curves. \textit{Trans. Amer. Math. Soc. }309 (1988), no. 2, 433--468. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Jacobian variety; rational points; linear pencil of projective plane curves; Mordell-Weil lattices; Manin-Shafarevich theorem; height pairing; Lefschetz pencils of hyperplane sections Shioda, T.: Generalization of a theorem of Manin-Shafarevich. Proc. Japan acad. 69A, 10-12 (1993) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements motives; triangulated categories; cohomology; weight structures; resolution of singularities; alterations Bondarko, M.V., \(\mathbb{Z} [\frac{1}{p}]\)-motivic resolution of singularities, Compos. math., 147, 1434-1446, (2011) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements abelian varieties with complex multiplication; periods of first and second kind; Jacobian of the Fermat curves; linear independence of values of the Beta-function; covering radius Wolfart, J., Der überlagerungsradius gewisser algebraischer kurven und die werte der betafunktion an rationalen stellen, Math. Ann., 273, 1-15, (1985) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; hypersurfaces; Maple Gábor Bodnár and Josef Schicho, Automated resolution of singularities for hypersurfaces, J. Symbolic Comput. 30 (2000), no. 4, 401 -- 428. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements moduli spaces of linear control systems Helmke U (1985) The topology of a moduli space for linear dynamical systems. Comment Math Helvetici 60: 630--655 | 0 |