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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Yau-Zaslow formula; \(K3\) surfaces, degenerating formula; Gromov-Witten invariants Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Mirror symmetry (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds A report on the Yau-Zaslow formula | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system numerical algorithms; homology groups; weak complexity; semialgebraic sets Semialgebraic sets and related spaces, Analysis of algorithms and problem complexity Computing the homology of semialgebraic sets. II: General formulas | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system non-complete linear system of hyperplane sections; Green's theory; abelian variety Birkenhake C. (1996). Noncomplete linear systems on abelian varieties. Trans. Am. Math. Soc. 348(5): 1885--1908 Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties Noncomplete linear systems on abelian varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Qregularity; vector bundles; quadrics; Evans-Griffiths criterion Ballico, E; Malaspina, F, Qregularity and an extension of the Evans-Griffiths criterion to vector bundles on quadrics, J. Pure Appl. Algebra, 213, 194-202, (2009) Vector bundles on surfaces and higher-dimensional varieties, and their moduli Qregularity and an extension of the Evans-Griffiths criterion to vector bundles on quadrics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system exponential sums on varieties; L-function; Dwork trace formula; Newton polyhedron; \(\ell \)-adic cohomology spaces; zeta function of a regular hypersurface A. Adolphson and S. Sperber, Exponential sums and Newton polyhedra: Cohomology and estimates, Ann. of Math. (2) 130 (1989), 367-406. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Exponential sums, Finite ground fields in algebraic geometry, Estimates on character sums, Toric varieties, Newton polyhedra, Okounkov bodies Exponential sums and Newton polyhedra: cohomology and estimates | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system L. Maxim, G. Schürmann, ``Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property,'' arXiv:0707.0129. Transcendental methods, Hodge theory (algebro-geometric aspects), Characteristic classes and numbers in differential topology, Variation of Hodge structures (algebro-geometric aspects), Mixed Hodge theory of singular varieties (complex-analytic aspects), Singularities of differentiable mappings in differential topology, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Intersection homology and cohomology in algebraic topology, Grothendieck groups, \(K\)-theory and commutative rings Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equisingularity; discriminant; Whitney conditions; minimal surface singularity Eric Dago Akéké, ``Equisingular generic discriminants and Whitney conditions'', Ann. Fac. Sci. Toulouse, Math.17 (2008) no. 4, p. 661-671 Complex surface and hypersurface singularities, Singularities of surfaces or higher-dimensional varieties Equisingular generic discriminants and Whitney conditions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system base point free linear system; Galois covering; minimal surface of general type; divisor; fundamental group [CatTov] Catanese, F., Tovena, F.: Vector bundles with zero discriminant and fundamental groups of algebraic surfaces. In: Complex Algebraic Varieties. (Lect. Notes Math., vol. 1507, pp. 51-70) Berlin Heidelberg New York: Springer 1992 Homotopy theory and fundamental groups in algebraic geometry, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Surfaces of general type Vector bundles, linear systems and extensions of \(\pi_ 1\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system period map; Hodge structure; Iitaka conjecture \(C_{n; m}\) Fujino O.: A canonical bundle formula for certain algebraic fiber spaces and its applications. Nagoya Math. J. 172, 129--171 (2003) Moduli, classification: analytic theory; relations with modular forms, Adjunction problems, Variation of Hodge structures (algebro-geometric aspects) A canonical bundle formula for certain algebraic fiber spaces and its applications | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Higgs bundles; Hitchin system; Donagi-Markman cubic; algebraically completely integrable systems Bruzzo, U.; Dalakov, P., Donagi-markman cubic for the generalized Hitchin system, Int. J. Math., 25, 2, 1450016, (2014) Algebraic moduli problems, moduli of vector bundles, Variation of Hodge structures (algebro-geometric aspects), Relationships between algebraic curves and integrable systems Donagi-Markman cubic for the generalized Hitchin system | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equidistribution; cuspidal automorphic representations; supersingular Hecke orbits; Kottwitz varieties Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties Equidistribution in supersingular Hecke orbits | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lefschetz trace formula; \(p\)-adic local field; Drinfeld's symmetric space; formal groups; Jacquet-Langlands correspondence Faltings (G.).-- The trace formula and DrinfeldÕs upper halfplane, Duke Math. J., 76 p. 467-481 (1994). Langlands-Weil conjectures, nonabelian class field theory, \(p\)-adic theory, local fields, Étale and other Grothendieck topologies and (co)homologies The trace formula and Drinfeld's upper halfplane | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system expected dimension; multiple points Singularities of curves, local rings, Plane and space curves, Global theory and resolution of singularities (algebro-geometric aspects) On families of equisingular plane curves. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hilbert-Kunz multiplicity; tight closure; equimultiplicity Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Multiplicity theory and related topics, Singularities in algebraic geometry Equimultiplicity in Hilbert-Kunz theory | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry Recent advances in linear series and Newton-Okounkov bodies | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system good postulation; specialization; degeneration; double line; double point; generic union of lines; sundial; residual scheme; Hartshorne-Hirschowitz theorem; Castelnuovo's inequality; Hilbert function Projective techniques in algebraic geometry, Configurations and arrangements of linear subspaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves Postulation of generic lines and one double line in \(\mathbb {P}^n\) in view of generic lines and one multiple linear space | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system weighted projective curve; weighted projective line; group action; equivariantization; coherent sheaf Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Compact Riemann surfaces and uniformization Equivariant approach to weighted projective curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system line bundle; linearization; seminormal Brion, M.\!, On linearization of line bundles, J. Math. Sci. Univ. Tokyo, 22, 113-147, (2015) Divisors, linear systems, invertible sheaves, Linear algebraic groups over arbitrary fields, Picard groups, Geometric invariant theory, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) On linearization of line bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Dutertre N.: A Gauss--Bonnet formula for closed semi-algebraic sets. Adv. Geom. 8(1), 33--51 (2008) Semialgebraic sets and related spaces, Topology of real algebraic varieties, Integral geometry A Gauss-Bonnet formula for closed semi-algebraic sets | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system plane algebraic curve; general multiple points; regular linear systems; Harbourne-Hirschowitz conjecture; differential Horace method Mignon, T., Systèmes de courbes planes à singularités imposées: le cas des multiplicités inférieures ou égales à quatre, J. Pure Appl. Algebra, 151, 2, 173-195, (2000) Plane and space curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Classical problems, Schubert calculus, Computational aspects of algebraic curves, Singularities of curves, local rings Systems of plane curves with prescribed singularities: The case of multiplicities less than or equal to four | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic surfaces; adjoint linear systems Surfaces of general type, Divisors, linear systems, invertible sheaves, Adjunction problems, Families, moduli, classification: algebraic theory Adjoint linear systems on algebraic surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Saito, K; Kashiwara, M (ed.); Matsuo, A (ed.); Saito, K (ed.); Satake, I (ed.), Duality for regular systems of weights: a précis, No. 160, 379-426, (1998), Boston Deformations of complex singularities; vanishing cycles, Singularities of surfaces or higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Braid groups; Artin groups Duality for regular systems of weights: a précis | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system generic matrices; stable rationality; fields of invariants; group algebras; lattices Beneish, E.: Induction Theorems on the center of the ring of generic matrices. Trans. Am. Math. Soc. 350(9), 3571--3585 (1998) Semiprime p.i. rings, rings embeddable in matrices over commutative rings, Actions of groups on commutative rings; invariant theory, Geometric invariant theory, Integral representations of finite groups, Group actions on varieties or schemes (quotients) Induction theorems on the stable rationality of the center of the ring of generic matrices | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system conic bundle; birational map; rationality of smooth complex threefolds; standard conic bundle Исковских, В. А., О критерии рациональности для расслоений на коники, Матем. сб., 187, 7, 75-92, (1996) \(3\)-folds, Rational and unirational varieties, Rational and birational maps, Rational and ruled surfaces A rationality criterion for conic bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Special divisors on curves (gonality, Brill-Noether theory), Picard groups, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Points of smooth curves linearly equivalent to divisors with prescribed support | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system BFK-gluing formula; relative determinant; Dirichlet-to-Neumann operator; manifold with cusps Kirsten, K.; Lee, Y., The BFK-gluing formula and relative determinants on manifolds with cusps, J. Geom. Phys., 117, 197-213, (2017) Index theory and related fixed-point theorems on manifolds, de Rham cohomology and algebraic geometry The BFK-gluing formula and relative determinants on manifolds with cusps | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Grassmannians, Schubert varieties, flag manifolds The \(\xi\)-stability on the affine Grassmannian | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system index of first order \(p\)-adic differential operator; irregularity measure Robba, P.: Indice d'un operateur différentiel p-adique, IV: Cas des systèmes. Mesure de l'irrégularité dans un disque. Ann. Inst. Fourier, Grenoble 35, 13--55 (1985) \(p\)-adic differential equations, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, General theory of ordinary differential operators, \(p\)-adic cohomology, crystalline cohomology Index of a first order \(p\)-adic differential operator. IV: The case of systems. Measures of irregularity in a ball | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Newton polyhedra; Laurent polynomials; generically inconsistent systems; resultants Toric varieties, Newton polyhedra, Okounkov bodies Discrete invariants of generically inconsistent systems of Laurent polynomials | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system modifications; subanalytic sets; real analytic germ of maps; almost analytic equivalence Semi-analytic sets, subanalytic sets, and generalizations, Modifications; resolution of singularities (complex-analytic aspects), Real algebraic and real-analytic geometry, Real-analytic manifolds, real-analytic spaces, Germs of analytic sets, local parametrization, Global theory and resolution of singularities (algebro-geometric aspects) Sur le problème de l'équisingularité | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Geiss, C.; Leclerc, B.; Schröer, J., Semicanonical bases and preprojective algebras II: a multiplication formula, Compos. Math., 143, 1313-1334, (2007) Universal enveloping (super)algebras, Special varieties, Representations of quivers and partially ordered sets, Quantum groups (quantized enveloping algebras) and related deformations, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representation theory for linear algebraic groups Semicanonical bases and preprojective algebras. II: A multiplication formula | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system root counting; polynomial systems; Newton polytopes; BKK bound; toric variety; homotopy J.M. Rojas, X. Wang, Counting affine roots of polynomial systems via pointed Newton polytopes, J. Complex. 12(2), 116--133 (1996). Toric varieties, Newton polyhedra, Okounkov bodies, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), \(n\)-dimensional polytopes Counting affine roots of polynomial systems via pointed Newton polytopes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system divisors of higher rank on a curve; \(r\)-divisor; Tamagawa number; Betti numbers of the moduli spaces of stable vector bundles Ghione F and Letizia M, Effective divisors of higher rank on a curve and the Siegel formula,Composite Math. 83 (1992) 147--159 Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli Effective divisors of higher rank on a curve and the Siegel formula | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system William Graham, ``Positivity in equivariant Schubert calculus'', Duke Math. J.109 (2001) no. 3, p. 599-614 Homogeneous spaces and generalizations, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds, Quantum groups (quantized enveloping algebras) and related deformations Positivity in equivariant Schubert calculus. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system nonisolated hypersurface singularities; Milnor fibration; morsification; equisingularity; Zariski's multiplicity conjecture; topological triviality; Floer homology; lattice homology; low dimensional topology; plumbing 3-manifolds; simultaneous resolutions; \(\mu\)-constant families; isolated surface singularities; topological triviality; Lipschitz equisingularity; motivic integration; arc spaces; vanishing cycles; monodromy; vanishing folds; cobordism theorem; computer algebra system ``Singular'' Singularities in algebraic geometry, Equisingularity (topological and analytic), Complex surface and hypersurface singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Topological equisingularity: old problems from a new perspective (with an appendix by G.-M. Greuel and G. Pfister on \textsc{Singular}) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system 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) Divisors, linear systems, invertible sheaves, Curves in algebraic geometry On the variety of special linear systems on an algebraic curve | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resonance varieties; characteristic varieties; Alexander invariants; completion; Gysin models; intersection form 17. A. Dimca, S. Papadima and A. Suciu, Algebraic models, Alexander type invariants, and Green-Lazarsfeld sets, Bull. Math. Soc. Sci. Math.58(106) (2015) 257-269. Determinantal varieties, Homology with local coefficients, equivariant cohomology, Homotopy theory and fundamental groups in algebraic geometry, Homological methods in group theory Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system semi-infinite flag manifold; Chevalley formula; quantum Bruhat graph; quantum LS paths; quantum alcove model Combinatorial aspects of representation theory, Combinatorial aspects of algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Quantum groups and related algebraic methods applied to problems in quantum theory A combinatorial Chevalley formula for semi-infinite flag manifolds and its applications | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hook formula; hook walk; standard Young tableaux Combinatorial identities, bijective combinatorics, Exact enumeration problems, generating functions, Classical problems, Schubert calculus, Combinatorial aspects of representation theory A bijective proof of the hook-length formula for skew shapes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hook-length formula; skew shapes; bijective proof M. Konvalinka, \textit{A Bijective Proof of the Hook-Length Formula for Skew Shapes}, preprint, 2016. Classical problems, Schubert calculus A bijective proof of the hook-length formula for skew shapes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Pieri formula; degree of the generalized Plücker embedding; Quot scheme; Grassmannian; intersection product M. S. Ravi, J. Rosenthal, and X. Wang, Degree of the generalized Plücker embedding of a Quot scheme and quantum cohomology, Math. Ann. 311 (1998), no. 1, 11 -- 26. Grassmannians, Schubert varieties, flag manifolds, Quantum field theory; related classical field theories, Homogeneous spaces and generalizations, Embeddings in algebraic geometry Degree of the generalized Plücker embedding of a Quot scheme and quantum cohomology | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasi-ordinary surface singularities Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Complex surface and hypersurface singularities, Modifications; resolution of singularities (complex-analytic aspects) Simultaneous resolution of equisingular quasi-ordinary singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear algebraic groups; enumerative geometry Enumerative problems (combinatorial problems) in algebraic geometry The equivariant ring of conditions of conics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hitchin system; spectral curve; moduli space; Higgs field; Higgs bundle; algebraically completely integrable systems; Poisson structure; Calogero-Moser systems Hurtubise, J., The geometry of generalized Hitchin systems, Integrable Systems: From Classical to Quantum, 55-76, (2000), American Mathematical Society, Providence, RI Analytic theory of abelian varieties; abelian integrals and differentials, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Hamilton's equations The geometry of generalized Hitchin systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic curves; coherent systems; stability; moduli spaces; Brill-Noether loci Grzegorczyk, I.; Newstead, P. E., On coherent systems with fixed determinant, Internat. J. Math., 0129-167X, 25, 5, 1450045, 11 pp., (2014) Vector bundles on curves and their moduli On coherent systems with fixed determinant | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Minimal Model Program; stable base loci [3] Sébastien Boucksom, Amaël Broustet &aGianluca Pacienza, &Uniruledness of stable base loci of adjoint linear systems via Mori theory&#xMath. Z.275 (2013) no. 1-2, p.~499Article | &MR~31 | &Zbl~1278. Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Uniruledness of stable base loci of adjoint linear systems via Mori theory | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system isolated singularity; index; finite group action Singularities of holomorphic vector fields and foliations, Local complex singularities, Singularities in algebraic geometry On equivariant indices of 1-forms on varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fano variety; equivariant K-stability; pseudovaluation; valuative criterion; normalized volume Fano varieties, Group actions on varieties or schemes (quotients), Minimal model program (Mori theory, extremal rays) A note on equivariant K-stability | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fano varieties; BAB conjecture Fano varieties, Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Singularities of linear systems and boundedness of Fano varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system sphere spectrum; motivic; stable stems Stable homotopy groups, Equivariant homotopy groups, Motivic cohomology; motivic homotopy theory \(\mathbb {Z}/2\)-equivariant and \(\mathbb {R}\)-motivic stable stems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system PT-stable object; quot scheme; stable pair \(3\)-folds, Stacks and moduli problems, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry A relation between higher-rank PT-stable objects and quotients of coherent sheaves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Domitrz, W.; Janeczko, S.; Zhitomirskii, M., Relative Poincaré lemma, contractibility, quasi-homogeneity and vector fields tangent to a singular variety, Ill. J. math., 48, 3, 803-835, (2004) Normal forms on manifolds, Germs of analytic sets, local parametrization, de Rham cohomology and algebraic geometry, Real submanifolds in complex manifolds Relative Poincaré lemma, contractibility, quasi-homogeneity and vector fields tangent to a singular variety | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system finite field; family of varieties; monodromy; quadratic excess; genus-\(g\)-curves; degree-\(d\) hypersurfaces; geometric monodromy group; Frobenius-Schur indicator; family of higher-dimensional varieties; Deligne equidistribution theorem Katz, N.: Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. Finite Fields Appl. \textbf{7}(1), 45-69 (2001). (Dedicated to Professor Chao Ko on the occasion of his 90th birthday) Curves over finite and local fields, Arithmetic ground fields (finite, local, global) and families or fibrations, Structure of families (Picard-Lefschetz, monodromy, etc.) Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system degree of stability; equivariant principal bundle Vector bundles on curves and their moduli Mukai-Sakai bound for equivariant principal bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear systems; fat points; Seshadri constant Ciliberto, Ciro; Dumitrescu, Olivia; Miranda, Rick; Roé, Joaquim, Emptiness of homogeneous linear systems with ten general base points.Classification of algebraic varieties, EMS Ser. Congr. Rep., 189-195, (2011), Eur. Math. Soc., Zürich Divisors, linear systems, invertible sheaves Emptiness of homogeneous linear systems with ten general base points | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system elliptic curves; Serre-Tate theorem; canonical liftings Erdoğan, A., A universal formula for the j-invariant of the canonical lifting, J. Number Theory, 150, 26-40, (2015) Elliptic curves over local fields, Algebraic theory of abelian varieties A universal formula for the \(j\)-invariant of the canonical lifting | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear systems; Noether's theorem; plane curve; degree; invertible sheaf Special divisors on curves (gonality, Brill-Noether theory), Pencils, nets, webs in algebraic geometry, Special algebraic curves and curves of low genus A variant of a base-point-free pencil trick and linear systems on a plane curve | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system pluricanonical bundles; Fujita's conjecture; effective results Divisors, linear systems, invertible sheaves, Sheaves in algebraic geometry, Singularities of surfaces or higher-dimensional varieties On the effective freeness of the direct images of pluricanonical bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system irreducible linear system of quadrics; Jacobian matrix; Segre variety Questions of classical algebraic geometry, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Quadratic and bilinear forms, inner products, Grassmannians, Schubert varieties, flag manifolds On Segre varieties, based on linear systems of quadrics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system system of quadrics; Jacobian matrix Projective analytic geometry, Special surfaces Un théorème fondamental sur les systèmes linéaires de quadriques. (A fundamental theorem on linear systems of quadrics) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Chern class inequality; smooth divisor; toroidal compactification of an unramified arithmetic quotient of; the unit ball; Kähler-Einstein metric; toroidal compactification of an unramified arithmetic quotient of the unit ball Tsuji, H, A characterization of ball quotients with smooth boundary, Duke Math. J., 57, 537-553, (1988) Divisors, linear systems, invertible sheaves, Homogeneous spaces and generalizations, Homogeneous complex manifolds, Characteristic classes and numbers in differential topology A characterization of ball quotients with smooth boundary | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system invariance; plurigenus; extension theorem; singular metrics; multiplier ideal sheaf M. Păun, Siu's invariance of plurigenera: A one-tower proof, J. Differential Geom. 76 (2007), no. 3, 485-493. Transcendental methods of algebraic geometry (complex-analytic aspects), Sheaves and cohomology of sections of holomorphic vector bundles, general results, Structure of families (Picard-Lefschetz, monodromy, etc.), Families, fibrations in algebraic geometry, \(n\)-folds (\(n>4\)), Compact Kähler manifolds: generalizations, classification Siu's invariance of plurigenera: a one-tower proof | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Multiplier ideals, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry, Minimal model program (Mori theory, extremal rays), Positive characteristic ground fields in algebraic geometry The \(F\)-different and a canonical bundle formula | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system projective system; Hilbert function; Castelnuovo-Mumford regularity; Castenuovo function; rational points; coding theory; boolean algebra M. Kreuzer and R. Waldi, On the Castelnuovo-Mumford regularity of a projective system , Comm. Alg. 25 (1997), 2919-2929. Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Geometric methods (including applications of algebraic geometry) applied to coding theory, Finite ground fields in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Rational points, Projective techniques in algebraic geometry On the Castelnuovo-Mumford regularity of a projective system | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system blow up; \((-1)\)-curves; degeneration technique Laface, A.; Ugaglia, L.: Quasi-homogeneous linear systems on P2 with base points of multiplicity 5 Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Fibrations, degenerations in algebraic geometry Quasi-homogeneous linear systems on \({\mathbb P}^ 2\) with base points of multiplicity 5. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights An effective Arakelov-theoretic version of the hyperbolic isogeny theorem | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equivariant vector bundles; weights of groups Mikiya Masuda, L. Moser-Jauslin, and T. Petrie, Invariants of equivariant algebraic vector bundles and inequalities for dominant weights , Group actions on varieties or schemes (quotients), Geometric invariant theory, Representation theory for linear algebraic groups Invariants of equivariant algebraic vector bundles and inequalities for dominant weights | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system preparation theorem; Weierstrass system; real analytic function; real analytic germs Miller, D, A preparation theorem for Weierstrass systems, Trans. Am. Math. Soc., 358, 4395-4439, (2006) Model theory of ordered structures; o-minimality, Real-analytic and semi-analytic sets, Quantifier elimination, model completeness, and related topics A preparation theorem for Weierstrass systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equimultiple; reduction; complete intersection Correia, ALB; Ana, L; Zarzuela, S, On equimultiple modules, Comm. Algebra, 37, 1949-1976, (2009) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Integral dependence in commutative rings; going up, going down, Other special types of modules and ideals in commutative rings, Singularities of curves, local rings On equimultiple modules | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system lattice point; equidistribution; positive characteristic; function fields; continued fraction expansion Continued fractions and generalizations, Asymptotic results on counting functions for algebraic and topological structures, Positive characteristic ground fields in algebraic geometry, Linear algebraic groups over global fields and their integers, Metric theory of continued fractions, Set functions and measures on topological groups or semigroups, Haar measures, invariant measures, Lattice points in specified regions Effective equidistribution of lattice points in positive characteristic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resultant criterion of birationality of rational mapping; inverse of polynomial mappings Adjamagbo K., J. of Pure and Appl. Algebra. 79 pp 1-- (1992) Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Polynomial rings and ideals; rings of integer-valued polynomials A resultant criterion and formula for the inversion of a rational map in two variables | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system prints of projective space as intersection with a scroll; k-gonal curve; Brill-Noether number --, On special linear systems on curves.Comm. in Algebra 18 (1990), 279--284. Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry On special linear systems on curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system lattice of linear subspaces; intrinsic volume; extremal combinatorics; Grassmannian; invariant measure; analogue of Sperner's theorem [4] Klain D. A., Rota G.-C., ''A continuous analogue of Sperner's theorem'', Comm. Pure Appl. Math., 50 (1997), 205--223 Extremal set theory, Factorials, binomial coefficients, combinatorial functions, Basic linear algebra, Grassmannians, Schubert varieties, flag manifolds A continuous analogue of Sperner's theorem | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system stable basis; equivariant cohomology; semisimple algebraic group; Billey's restriction formula; Schubert varieties C. Su. ''Restriction Formula for Stable Basis of the Springer Resolution''. 2015. arXiv:1501.04214. Grassmannians, Schubert varieties, flag manifolds, Equivariant homology and cohomology in algebraic topology, Classical groups (algebro-geometric aspects) Restriction formula for stable basis of the Springer resolution | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(d\)-complete posets; hook formulas; \(P\)-partitions; Schubert calculus; equivariant \(K\)-theory Exact enumeration problems, generating functions, Combinatorics of partially ordered sets, Classical problems, Schubert calculus, Equivariant \(K\)-theory Skew hook formula for \(d\)-complete posets via equivariant \(K\)-theory | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system principal bundle; singular curve; obstructions to triviality Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Singularities of curves, local rings Triviality properties of principal bundles on singular curves. II | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Tamvakis H.: Giambelli, Pieri, and tableau formulas via raising operators. J. Reine Angew. Math. 652, 207--244 (2011) Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations Giambelli, Pieri, and tableau formulas via raising operators | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Jacobians; Zeta functions; Hasse-Witt invariant Jacobians, Prym varieties, Zeta and \(L\)-functions in characteristic \(p\) On the Deuring-Shafarevich formula | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system abundance conjecture; generalized pairs; minimal model program Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Nef and abundant divisors, semiampleness and canonical bundle formula | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polarized manifolds; adjoint bundles; effective divisors T. Arakawa, Effective nonvanishing of pluri adjoint linear systems, Preprint. Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) Effective nonvanishing of pluri-adjoint line bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Olsson, M, Fujiwara's theorem for equivariant correspondences, (2014) Étale and other Grothendieck topologies and (co)homologies, Generalizations (algebraic spaces, stacks), Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry Fujiwara's theorem for equivariant correspondences | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system fat points; linear system of plane curves; bounds for the regularity Catalisano, Linear systems of plane curves through fixed ''fat'' points of P2, J. Algebra 142 pp 81-- (1991) Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry Linear systems of plane curves through fixed ''fat'' points of \(\mathbb{P}^ 2\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lefschetz trace formula; Deligne's conjecture Varshavsky, Y., \textit{Lefschetz-verdier trace formula and a generalization of a theorem of fujiwara}, Geom. Funct. Anal., 17, 271-319, (2007) Étale and other Grothendieck topologies and (co)homologies, Varieties over finite and local fields, Finite ground fields in algebraic geometry Lefschetz-Verdier trace formula and a generalization of a theorem of Fujiwara | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system invertible sheaf on non-singular curve; scrollar invariants Special divisors on curves (gonality, Brill-Noether theory), Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves On some numerical relations of \(d\)-gonal linear systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system 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) Varieties over global fields, Global ground fields in algebraic geometry Effective equidistribution of \(S\)-integral points on symmetric varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system wonderful compactification; equivariant principal bundle; tangent bundle; stability Homogeneous complex manifolds, Notions of stability for complex manifolds, Compactifications; symmetric and spherical varieties, Homogeneous spaces and generalizations On equivariant principal bundles over wonderful compactifications | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Segre cubic surface; rationality Kolpakov-Miroshnichenko, I. Ya.; Prokhorov, Yu.G.: Rationality of fields of invariants of some four-dimensional linear groups, and an equivariant construction related to the Segre cubic. Math. USSR sb. 74, 169-183 (1993) Rational and unirational varieties, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients) Rationality of fields of invariants of some four-dimensional linear groups, and an equivariant construction related to the Segre cubic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system 11. S. Chmutov and S. Duzhin, Explicit formulas for Arnold's generic curve invariants, in Arnold-Gelfand Mathematical Seminars: Geometry and Singularity Theory (Birkhäuser, 1997), 123-138. Immersions in differential topology, Real algebraic and real-analytic geometry Explicit formulas for Arnold's generic curve invariants | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Jacobian conjecture; linearization; Markus-Yamabe conjecture van den Essen, A., A counterexample to Meisters' cubic-linear linearization Conjecture, Indag. Math., 9, 3, 333-339, (1998) Jacobian problem, Polynomial rings and ideals; rings of integer-valued polynomials, Holomorphic maps on manifolds, Entire functions of several complex variables A counterexample to Meisters' cubic-linear linearization conjecture | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system correlation functions; quasi-determinants Schork, M.: The bc-system of higher rank revisited. J. phys. A: math. Gen. 35, 2627-2637 (2001) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between algebraic curves and physics, Applications of holomorphic fiber spaces to the sciences, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Vector bundles on curves and their moduli The \(bc\)-system of higher rank revisited | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equisingular deformation; plane curve singularities; Milnor number; Hamburger-Noether expansion; deformation of parameterization Campillo A., Greuel G.-M., Lossen C.: Equisingular deformations of plane curves in arbitrary characteristic. Compos. Math. 143, 829--882 (2007) Deformations of singularities, Local deformation theory, Artin approximation, etc., Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Equisingularity (topological and analytic) Equisingular deformations of plane curves in arbitrary characteristic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system set of points in the projective plane; \(h\)-vector Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Complete intersections The \(h\)-vector of the union of two sets of points in the projective plane | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system moduli of curves; Euler characteristic; Harer-Zagier formula; intersection theory; omega-classes Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic), Vector bundles on curves and their moduli, Exact enumeration problems, generating functions An intersection-theoretic proof of the Harer-Zagier formula | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Bloch-Gieseker property; Chern class Factorials, binomial coefficients, combinatorial functions, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Characteristic classes and numbers in differential topology Some combinatorics of binomial coefficients and the Bloch-Gieseker property for some homogeneous bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system subgroup embedding; invariant subspace; Littlewood-Richardson tableau; partial map; representation space; boundary condition Representations of associative Artinian rings, Subgroups of abelian groups, Group actions on varieties or schemes (quotients) Box moves on Littlewood-Richardson tableaux and an application to invariant subspace varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lelong number; log canonical threshold; complex Monge-Ampère measures Plurisubharmonic functions and generalizations, Lelong numbers, Complex Monge-Ampère operators, Singularities in algebraic geometry A result on the comparison principle for the log canonical threshold of plurisubharmonic functions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Jordan type; orbital variety; Littlewood-Richardson tableau Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory Correspondence between orbital varieties and sets of subspaces stable under nilpotent endomorphism | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Calabi-Yau threefold; homological mirror symmetry; Pfaffian; Grassmannian; Plücker; projective dual; equivalence of categories; strongly simple; vanishing of Ext-groups Borisov, Lev; Căldăraru, Andrei, The Pfaffian-Grassmannian derived equivalence, J. Algebraic Geom., 18, 2, 201-222, (2009) Calabi-Yau manifolds (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds The Pfaffian-Grassmannian derived equivalence | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Projective techniques in algebraic geometry Some formulae arising in projective-differential geometry | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system isolated singularity; regular system of weights Singularities in algebraic geometry, Complex surface and hypersurface singularities On an arithmetical property of the normalization of regular systems of weights | 0 |
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