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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert modular group; resolution of singularities at cusps F.Hirzebruch, The Hilbert Modular group, resolution of the singularities at the cusps and related problems. Sém. Bourbaki, exp. 396 (1971).
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rational scrolls; linear system; Euler characteristic; nonsingular; locally free sheaf; Del Pezzo surfaces
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of the singularities of algebraic set; p-adic field; Igusa's local zeta function; p-desingularization
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements abelian variety; compatible system of Galois representations; Weil-Deligne group Noot, R., The system of representations of the Weil-Deligne group associated to an abelian variety, Algebra Num. Theory, 7, 243-281, (2013)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Complex multiplication of abelian varieties; total imaginary quadratic extension of totally real field; class field theory; Frobenius endomorphism; zeta function of abelian variety; Hilbert's 12th problem Shimura, G. and Taniyama, Y. Complex multiplication of abelian varieties and its applications to number theory The Mathematical Society of Japan, Tokyo, 1961 Math Reviews MR0125113 (23 \#A2419)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements metric graph; linear system; anchor cell; \(f\)-vector
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements almost complete intersections; Artinian algebras; general linear forms; linear systems of general points; powers of linear forms; weak Lefschetz property
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements degeneration of linear series on smooth curves; moduli space; Schubert calculus; Kodaira dimension; Weierstrass points D. Eisenbud, J. Harris, Limit linear series: basic theory. \textit{Invent. Math.}\textbf{85} (1986), 337-371.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic surface; linear system; numerically positive divisor Benveniste, Y.: Mechanics of materials. 3, 349 (1984)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear algebraic group; compactification of a principal homogeneous space; Brauer group Colliot-Thélène, J-L; Kunyavskiĭ, BÈ, Groupe de Brauer non ramifié des espaces principaux homogènes de groupes linéaires, J. Ramanujan Math. Soc., 13, 37-49, (1998)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Birch-Swinnerton-Dyer conjecture; twisted elliptic curves; discriminant of a quadratic field
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements commuting pair of linear ordinary differential operators; vector bundle; classifications of the smooth elliptic curves; automorphism group; algebra of differential operators; indecomposable and decomposable bundles E. Previato and G. Wilson, \textit{Differential operators and rank }2 \textit{bundles over elliptic} \textit{curves}. Compositio Math. 81 (1992), no. 1, 107--119.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements zeros of a multivariate polynomial system; Gröbner basis; ideal quotients Möller, H. M., On decomposing systems of polynomial equations with finitely many solutions, Appl. Algebra Eng. Commun. Comput., 4, 4, 217-230, (1993)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements hermitian symmetric tube domains; Severi varieties; Veronese embedding; Segre embedding; Plücker embedding; embedding of the Cayley projective plane; Fano 4-folds W. L. Baily, Exceptional moduli problems, II: Kodaira's issue , Asian J. Math. 4 (2000), 1-9.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Korteweg-de Vries dynamical system; theta functions; period matrices of Riemann surfaces; dynamical systems; effective divisors D; Jacobi coordinate; Jacobian variety; hyperelliptic curves; hyperelliptic thetas; Weierstrass'\(\wp P\)-function Mumford, D.: Tata Lectures on Theta II. Birkhäuser, Boston (1984)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements non-commutative crepant resolution; dimer model; quiver with potential; Gorenstein toric singularity; mutations of dimer models
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; deformation of singularities; strongly pseudoconvex space
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cremona group; Cremona transformation; quadratic transformations; birational maps D. Cerveau and J. Déserti, Transformations birationnelles de petit degré.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Wronski matrix; Wronskian; linear ordinary differential equations; ramification loci of linear systems; complex Grassmanian varieties 8. L. Gatto and I. Scherbak, On generalized Wronskians, in Contributions to Algebraic Geometry, P. Pragacz, ed., Impanga Lecture Notes, EMS Congress Series Report (2012), pp. 257-296, doi: 10.4171/114, http://arxiv.org/pdf/1310.4683v1.pdf.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements enumerative geometry of curves; quantum field theory; Gromov-Witten invariants; torus actions; Feynman diagrams; integrable system; infinite Grassmannians; rational curves; Calabi-Yau manifolds M. Kontsevich, Enumeration of rational curves via torus actions, The moduli space of curves (Texel Island 1994), Progr. Math. 129, Birkhäuser, Boston (1995), 335-368.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements symmetric tensor; sums of powers of linear polynomials; Waring problem; Waring rank; open Waring rank Jelisiejew, J.; An upper bound for the Waring rank of a form; Arch. Math.: 2014; Volume 102 ,329-336.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements curve of maximal regularity; minimal free resolution W. Lee and E. Park, On the minimal free resolution of curves of maximal regularity. Bull. Korean Math. Soc. 53 (2016), no. 6, 1707-1714.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements closure of semianalytic subset; rigid analytic variety; resolution of singularities Hans Schoutens, Closure of rigid semianalytic sets, J. Algebra 198 (1997), no. 1, 120 -- 134.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements real algebraic variety; semi-algebraic set; coordinate ring; quadratic module; Archimedean; positive function; ring of continuous functions Marshall, M, Representations of non-negative polynomials having finitely many zeros, Annales de la faculté des sciences de Toulouse Mathématiques, 15, 599-609, (2006)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements classification of anisotropic quadratic spaces
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements blowing-up; graded Betti numbers; fat points; projective embeddings; resolution of the coordinate ring; embedded rational surface Geramita, A. V.; Gimigliano, A.; Pitteloud, Y., Graded Betti numbers of some embedded rational \textit{n}-folds, Math. Ann., 301, 363-380, (1995)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Heegner points; \(L\)-functions; singular moduli of elliptic curves; discriminants of imaginary quadratic fields
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements sequence of Maclaurin coefficients; quadratic recurrence; Sloane's sequence A074059 Goulden, IP; Litsyn, S; Shevelev, V, On a sequence arising in algebraic geometry, J. Integer Seq., 8, 7, (2005)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements birational characterization of real projective space; quadratic forms; Witt group; real components of algebraic varieties; unramified cohomology Sujatha, R, Witt groups of real projective surfaces, Math. Ann., 288, 89-101, (1990)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic variety; positive characteristic; resolution of singularities; wild singularity; kangaroo point ,\textit{On the problem of resolution of singularities in positive characteristic (or: a proof we are still} \textit{waiting for)}, Bull. Amer. Math. Soc. (N.S.) 47 (2010), no. 1, 1--30.http://dx.doi.org/10. 1090/S0273-0979-09-01274-9.MR2566444
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements improper intersection; multiplicity; analytic sets; normal cone; deformation of an analytic set; linear testing theorem K. Nowak, Analytic improper intersections. II. Deformation to an algebraic bicone and applications, Bull. Pol. Acad. Sci. Math. 48 (2000), no. 2, 131-140.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements very ample linear system; embeddings
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements toroidal resolution of a plane curve; toric blowing ups; Puiseux pair M. Oka: Geometry of plane curves via toroidal resolution ; in Algebraic Geometry and Singularities (La Rábida, 1991), Progr. Math. 134 , Birkhäuser, Basel, 95-121, 1996.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; practical point of view Frühbis-Krüger, A.; Pfister, G., Resolve.lib - a {\scsingular} 4-0-2 library for the resolution of singularities, (2005), Singular distribution
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements lattice ideals; minimal system of generators; toric varieties Ignacio Ojeda Martínez de Castilla, Examples of generic lattice ideals of codimension 3, Comm. Algebra 36 (2008), no. 1, 279 -- 287.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semigroup; Puiseux expansion; resolution of singularities Hefez A., Irreducible plane curve singularities, Real and Complex Singularities (Saõ Carlos 2000), Lecture Notes Pure Appl. Math. 232, Marcel Dekker, New York (2003), 1-120.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements transformations of elliptic functions
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements embedded resolution of singularities of an hypersurface; exceptional divisor Veys, W.: Congruences for numerical data of an embedded resolution. Compositio Math 80, 151--169 (1991)
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
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements log canonical threshold; resolution of singularities Aoyagi, Log canonical threshold of Vandermonde matrix type singularities and generalization error of a three layered neural network, Int. J. Pure Appl. Math. 52 pp 177-- (2009)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements tropical Newton-Puiseux polynomials; resolution of tropical hypersurfaces
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements multiplicity; resolution of singularities; singularities in positive characteristic
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements noncommutative discriminants; algebra traces; Poisson prime elements; symplectic foliations; quantum groups at roots of unity Nguyen, B.; Trampel, K.; Yakimov, M., Noncommutative discriminants via Poisson primes, Adv. Math., 322, 269-307, (2017)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Braid groups; Yang-Baxter groups; dynamical Yang-Baxter relations; classical Yang-Baxter relations; Kohno-Drinfeld algebras; 3-term relations algebras; Gaudin elements; Jucys-Murphy elements; small quantum cohomology; \(K\)-theory of flag varieties; Pieri rules; chromatic number; Tutte and Betti polynomials; reduced polynomials; Chan-Robbins-Yuen polytope; \(k\)-dissections of a convex \((n+k+1)\)-gon; Lagrange inversion formula; Richardson permutations; multiparameter deformations of Fuss-Catalan and Schröder polynomials; poly-Bernoulli numbers; Stirling numbers; Euler numbers; Brauer algebras; VSASM; CSTCPP; Birman-Ko-Lee monoid; Kronecker elliptic sigma functions Kirillov, Anatol N., On some quadratic algebras {I}~{\(\frac{1}{2}\)}: combinatorics of {D}unkl and {G}audin elements, {S}chubert, {G}rothendieck, {F}uss--{C}atalan, universal {T}utte and reduced polynomials, SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 12, 002, 172~pages, (2016)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of linear group; \(G\)-harmonic polynomials; null cone of ideal of invariant polynomials
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Weierstrass semigroups of several points; linear systems; hyperelliptic curves Carvalho C.: On \({\mathcal V}\)-Weiertsrass sets and gaps. J. Algebra \textbf{312}, 956-962 (2007).
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; arc sharp spaces; valuations; small irreducible components
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements meromorphic vector field; projective space; tangent bundle; pairs of meromorphic vector fields; simple vector bundle; reflexive sheaf; stable reflexive sheaf; Pfaff system; meromorphic foliations with singularities
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements strongly nondegenerate \(c\)-rigid quadrics; linear and nonlinear automorphisms of nondegenerate surface N. F. Palinchak, ''About c-Rigid Quadrics,'' Mat. Zametki 59(2), 224--229 (1996) [Math. Notes 59, 158--162 (1996)].
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements ring of invariants of a linear group acting on a polynomial ring; symbolic blow-up; counterexample of Hilbert's 14-th problem Decker, W., Greuel, G.-M., Pfister, G., Schönemann, H.: Singular 3-1-6--a computer algebra system for polynomial computations. http://www.singular.uni-kl.de
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fundamental group; Tannakian categories; Enriched local system; Nonabelian Hodge theory; Variation of mixed Hodge structure D. Arapura, ''The Hodge theoretic fundamental group and its cohomology,'' in The Geometry of Algebraic Cycles, Providence, RI: Amer. Math. Soc., 2010, vol. 9, pp. 3-22.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements normal presentation of line bundles; elliptic ruled surface; Mukai's conjecture; adjoint linear series; homogeneous coordinate ring F. J. Gallego andB. P. Purnaprajna, Normal presentation on elliptic ruled surfaces.J. Algebra 186 (1996), 597--625.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements plethysm; Gaussian maps; representations of complex linear groups; irreducible representations; homogeneous spaces; multiplicities; partitions L. Manivel, Gaussian maps and plethysm, Algebraic geometry (Catania, 1993/Barcelona, 1994) Lecture Notes in Pure and Appl. Math., vol. 200, Dekker, New York, 1998, pp. 91 -- 117.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements actions of groups; linear algebra; topological groups; endomorphisms; Grassmannians; echelon matrices; groups preserving a bilinear form; quaternion fields; algebraic combinatorics; Lie groups; Platonic solids; topics from the projective plane; orthogonal groups; unitary groups; symplectic groups; Young tableaux; algebraic geometry; algebraic curves; surfaces configurations; special varieties; graphes; projective line; conics; representation theory; McKay correspondance Ph. Caldero, J. Germoni, \textit{Histoires Hédonistes de Groupes et de Géométries [Hedonistic Histories of Groups and Geometries].} Vol. 2, Calvage et Mounet, Paris, 2015.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Möbius transformations; visualization of complex functions; covering Riemann surface; covering transformations 4. Ballantine, C., Ghisa, D.: Colour visualization of Blaschke product mappings. Complex Var. Elliptic Equat. 55 , 201-217 (2010)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; multi-ideals; equiresolution; artinian rings
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equidimensional decomposition of algebraic variety; symbolic Newton algorithm; sparse resultant; overdetermined polynomial equation system Gabriela Jeronimo, Teresa Krick, Juan Sabia, and Martín Sombra, The computational complexity of the Chow form, Found. Comput. Math. 4 (2004), no. 1, 41 -- 117.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements family of abelian varieties; degenerate Hodge group; Hodge cycles; heights; complex multiplication; p-adic properties of the Picard-Fuchs system of differential equations
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements variety of linear systems on a general curve; cohomology of Jacobian; Castelnuovo-Severi-Kleiman conjecture; algebraic intersection number; Schubert calculus Griffiths, P. \& Harris, J.,On the variety of special linear systems on a general algebraic curves, Duke Math. J.,47(1980), 233--272.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements simple canonical algebraic surfaces; bidouble Galois covers; resolution of singularities; moduli of surfaces of general type F. Catanese, Singular bidouble covers and the construction of interesting algebraic surfaces, in Algebraic Geometry: Hirzebruch 70, eds. P. Pragacz \textit{et al.}, Proc. Algebraic Geometry Conference in honor of F. Hirzebruch's 70th birthday, \textit{Contempory Mathematics}, Vol. 241 (Springer, 1999), pp. 97-120.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements openness of loci; resolution of singularities; excellent rings; resolution of noetherian integral domain; catenary ring; local noetherian rings; lifting
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic curves and algebraic surfaces; resolution of singularities; local rings; valuation theory; Cohen-Macaulay rings; differential modules; analytic algebras Kiyek, K.; Vicente, J. L., Resolution of curve and surface singularities in characteristic zero, (2004), Kluwer Dordrecht
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements CM-field of degree 4 over \(\mathbb{Q}\); simple abelian surface; endomorphism algebra; real quadratic field; indefinite quaternion algebra; two-dimensional complex torus Ruppert, W.: Two-dimensional complex tori with multiplication by d. Arch. math. 72, 278-281 (1999)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equisingular families; representation of the braid group; Laurant polynomial; Alexander polynomial A. Libgober, Invariants of plane algebraic curves via representations of the braid groups, Invent. Math. 95 (1989), 25-30 Zbl0674.14015 MR969412
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements inverse problem of Galois theory; Fischer-Griess monster as Galois group over \({\mathbb{Q}}\); finite simple groups; fundamental group; rigid simple groups; cyclotomic field; discrete subgroups of \(PSL_ 2({\mathbb{R}})\); congruence subgroup; modular curve; Puiseux-series; group of covering transformations; compact Riemann surface; algebraic function field; ramification points; cusps; lectures
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements triple covers; very ample line bundle; linear system LANTERI A., PALLESCHI M. and SOMMESE A.J., ''On triple covers of \(\mathbb{P}\) n as very ample divisors'', inClassification of Algebraic Varieties, Proceedings L'Aquila, 1992, ed. by C. Ciliberto, E.L. Livorni and A.J. Sommese, Contemp. Math. 162 (1994), 277--292.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; toric constellations; monodromy conjecture
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements special linear system on an algebraic curve Keem, C.: On the variety of special linear systems on an algebraic curve. Math. Ann.288, 309--322 (1990)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; singular foliations; log-canonical foliations; monomial foliations Belotto, A, Global resolution of singularities subordinated to a \(1\)-dimensional foliation, J. Algebra, 447, 397-423, (2016)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements webs; jet; lines; linear system; projective surface
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements subadjoint ideal; completeness of linear systems
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cohomology of hyperbolic three-manifolds; automorphic representations; holomorphic Siegel modular forms; \(l\)-adic representations; elliptic curves over imaginary quadratic fields; Tate module; Ramanujan conjecture; \(L\)-function Taylor, Richard, \textit{l}-adic representations associated to modular forms over imaginary quadratic fields. II, Invent. Math., 116, 1-3, 619-643, (1994)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rational surfaces; embeddings the blown up surface in some projective space; dimension of linear systems of plane curves; superabundant very ample divisors [GGH] A. V. Geramita, A. Gimigliano and B. Harbourne,Projectively normal but superabundant embedding of rational surfaces in projective space, J. Algebra169 (1994), 791--804
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Transformations of equations
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hironaka hard polyhedra game; Newton pollyhedron; resolution of singularities; local uniformization theorem; normal flatness; blowing-up
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements actions of the special linear group; 3-dimensional variety; equivariant classifications; actions of complexity one
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements middle perversity intersection cohomology; resolution of singularities; Chern class
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert series; groups generated by pseudo-reflections; Grassmann algebras; relatively free algebras; theorem of Shephard-Todd and Chevalley; algebras of invariants; polynomial algebras; T-ideals; PI-algebras; general linear groups; groups of automorphisms; matrix polynomial identities Domokos, M., Relatively free invariant algebras of finite reflection groups, Trans. Amer. Math. Soc., 348, 2217-2233, (1996)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements projective equivalences; symmetry detection; rational surface; polynomial system; linear reparameterization
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements embedded resolution of singularities; Hilbert-Samuel function DOI: 10.1007/BF01393974
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements iteration of rational maps; integral point; dynamical system; \(\varphi\)- canonical heights; diophantine properties of orbits; orbit; diophantine equations; Thue equations; Siegel's theorem Silverman J.H.: Integer points, Diophantine approximation, and iteration of rational maps. Duke Math. J. 71(3), 793--829 (1993)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cox ring; resolution of singularities; quotient singularity; algorithm; toric variety; tropical variety
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements de Rham cohomology; \(p\)-adic local Langlands; curve; rational singularities; arithmetic surfaces; Grothendieck duality; simultaneous resolution of singularities Cais, B., \textit{canonical integral structures on the de Rham cohomology of curves}, Ann. Inst. Fourier (Grenoble), 59, 2255-2300, (2009)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; rational triple point
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Toda system on torus; number of solutions; symmetry of solutions
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of reductive linear algebraic group on affine scheme; closed orbit; affine Cremona group; fixed points; étale slice theorem; linearizable actions; cancellation problem; linearization problem H. Bass,Algebraic group actions on affine spaces, in Contemporary Mathematics, Vol. 43, Am. Math. Soc., 1985, pp. 1--23.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; simple normal crossings; desingularization invariant; cleaning; partial resolution algorithm Bierstone, E.; Silva, S.; Milman, P. D.; Vera Pacheco, F., Desingularization by blowings-up avoiding simple normal crossings, Proceedings of the American Mathematical Society, 142, 4099-4111, (2014)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements computational complexity; algebraic geometry; irreducible polynomials; primitive polynomials; finite fields; polynomial factorization; distribution of primitive polynomials; construction of bases; algebraic number theory; computer science; coding theory; cryptography; factorization of bivariate polynomials; fast algorithms; discrete logarithm problem; fast exponentiation; polynomial multiplication; algebraic curves over finite fields; strengthening of the Weil-Serre bound; rational points; elliptic curves; distribution of primitive points; linear recurring sequences; automata; integer factorization; computational algebraic number theory; algebraic complexity theory; polynomials with integer coefficients 20.I. E. Shparlinski, \(Computational and algorithmic problems in finite fields\), Kluwer, Dordtrecht-Boston-London, 1992.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear ODEs; fundamental solutions; generalized Wronskians; Schur functions; homology of the Grassmannian 7. L. Gatto and I. Scherbak, ''On one property of one solution of one equation'' or linear ODEs, Wronskians and Schubert calculus, Moscow Math. J.12(2) (2012) 275-291, http://arxiv.org/pdf/1310.3345v1.pdf . genRefLink(128, 'S0219498816501097BIB007', '000309365900005');
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements dualizing sheaf; base component of the canonical system; 1-connected curve; effective divisor on a surface K. Konno and M. Mendes Lopes, The base components of the dualizing sheaf of a curve on a surface, Arch. Math. (Basel) 90 (2008), 395--400.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of cusp singularities; Shintani decomposition; totally real cubic number fields; Hilbert modular variety; family of cubics; evaluation of zeta-function DOI: 10.1007/BF01359864
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements collinear punctual subschemes; number of generators; minimal free resolution; postulation; Horace method
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of surface singularity; second Chern class; Riemann-Roch formula; Euler characteristic Wahl, J.: Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities. Math. Ann.295, 81--110 (1993)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements character varieties; Hodge polynomial; intersection cohomology; character theory of finite general linear groups Letellier, E., Character varieties with Zariski closures of \textit{GL}\_{}\{\(n\)\}-conjugacy classes at punctures, Sel. Math. (N.S.), 21, 293-344, (2015)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Subspace arrangements; Hilbert function; postulation; union of linear subspaces; configuration of linear subspaces; quadric hypersurfaces Carlini, E; Catalisano, MV; Geramita, A, Subspace arrangements, configurations of linear spaces and the quadrics containing them, J. Algebra, 362, 70-83, (2012)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Castelnuovo-Mumford regularity; index of regularity; generic hyperplane section; uniform position property; linear semi-uniform position property; positive characteristic E. Ballico and Ch. Miyazaki, Generic hyperplane section of curves and an application to regularity bounds in positive characteristic, J. Pure Appl. Algebra 155 (2001), 93--103.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements pointed stable curve; resolution of singularities; alteration
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hasse principle; cubic; quadratic; system; rational point; Diophantine equations; circle method; Weyl sum; van der Corput method; complete intersection Browning, T. D., Dietmann, R., Heath-Brown, D. R.: Rational points on intersections of cubic and quadric hypersurfaces. J. Inst. Math. Jussieu 14, 703--749 (2015)Zbl 1327.11043 MR 3394125
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements deformations of Klein curve; group of automorphisms; deformations of Riemann surfaces; Torelli theorem; abelian differentials; Hodge decomposition; geodesics; quadratic differentials
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic forms; function field of a quadric; Pfister forms; Pfister neighbor; Galois cohomology; unramified cohomology; Voevodsky's motivic cohomology; Chow group B. KAHN - R. SUJATHA, Motivic cohomology and unramified cohomology of quadrics. J. Eur. Math. Soc. (JEMS), 2 no. 2 (2000), pp. 145-177. Zbl1066.11015 MR1763303
0