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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 Cayley-Hamilton theorem; exterior semialgebras; Grassmann semialgebras; Hasse-Schmidt derivations; differentials; eigenvalues; eigenvectors Laurent series; Newton's formulas; power series; semifields; systems; semialgebras; tropical algebra; triples Semirings, Semifields, Foundations of tropical geometry and relations with algebra, Exterior algebra, Grassmann algebras Grassmann semialgebras and the Cayley-Hamilton 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 Lie triple system; group actions; Yamaguti cohomology; equivariant formal deformations; equivariant cohomology Ternary compositions, Deformations of associative rings, Deformations and infinitesimal methods in commutative ring theory, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Formal methods and deformations in algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Equivariant homology and cohomology in algebraic topology Equivariant one-parameter deformations of Lie triple 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 Grassmann variable; exclusion statistics; superconformal transformation Schork, M., Algebraical, combinatorial and analytical properties of paragrassmann variables, Int. J. Mod. Phys. A, 20, 4797-4819, (2005) Supersymmetry and quantum mechanics, Quantum groups and related algebraic methods applied to problems in quantum theory, Research exposition (monographs, survey articles) pertaining to quantum theory, Grassmannians, Schubert varieties, flag manifolds, Exterior algebra, Grassmann algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Conformal mappings of special domains Some algebraical, combinatorial and analytical properties of paragrassmann 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 linear systems; fat points; Seshadri constants Paul, S, New methods for determining speciality of linear systems based at fat points in \({\mathbb{P}}^n\), J. Pure Appl. Algebra, 217, 927-945, (2013) Divisors, linear systems, invertible sheaves New methods for determining speciality of linear systems based at fat points in \(\mathbb P^n\) | 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 toroidal compactification; Newton polyhedron; intersection cohomology; toric varieties J. Denef and F. Loeser, \textit{Weights of exponential sums}, \textit{intersection cohomology and Newton polyhedra}, Invent. Math. \textbf{106} (1991), no. 2, 275-294. Toric varieties, Newton polyhedra, Okounkov bodies, Vanishing theorems in algebraic geometry, Exponential sums and character sums, Finite ground fields in algebraic geometry Weights of exponential sums, intersection cohomology, and Newton polyhedra | 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 logarithmic differential forms; subspace arrangements; Hilbert-Poincaré series; Solomon-Terao formula; logarithmic residues Configurations and arrangements of linear subspaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Modules of differentials On a generalization of Solomon-Terao formula for subspace arrangements | 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 flag varieties; Levi-movable structure Richmond, E, A multiplicative formula for structure constants in the cohomology of flag varieties, Michigan Math. J., 61, 3-17, (2012) Classical problems, Schubert calculus, Homogeneous spaces and generalizations A multiplicative formula for structure constants in the cohomology of flag 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 Arakelov geometry; conductor and discriminant; arithmetic Noether's formula Arithmetic varieties and schemes; Arakelov theory; heights, Riemann-Roch theorems An Arakelov theoretic proof of the equality of conductor and discriminant | 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 standard monomial basis; flag varieties Brion, M.; Lakshmibai, V., A geometric approach to standard monomial theory, \textit{Represent. Theory}, 7, 651-680, (2003) Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Other algebraic groups (geometric aspects) A geometric approach to Standard Monomial 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 Grégoire Lecerf, Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers, J. Complexity 19 (2003), no. 4, 564 -- 596. Symbolic computation and algebraic computation, Computational aspects in algebraic geometry Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers | 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 inverse system; apolarity Schenk H.K.: Linear systems on a special rational surface. Math. Res. Lett. 11(5--6), 697--713 (2004) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Linear systems on a special rational surface | 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 double affine Hecke algebras; nil-DAHAs; nonsymmetric Macdonald polynomials; Whittaker functions I. Cherednik and D. Orr. ''One-dimensional nil-DAHA and Whittaker functions I''. Trans form. Groups 17 (2012), pp. 953--987.DOI. Hecke algebras and their representations, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds One-dimensional nil-DAHA and Whittaker functions. I. | 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 tetragonal curves; graded Betti numbers; nondegenerate curves; Newton polygons; combinatorial invariants; toric surfaces Castryck, W; Cools, F, A combinatorial interpretation for schreyer's tetragonal invariants, Doc. Math., 20, 927-942, (2015) Special algebraic curves and curves of low genus, Toric varieties, Newton polyhedra, Okounkov bodies, Syzygies, resolutions, complexes and commutative rings A combinatorial interpretation for Schreyer's tetragonal 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 rationality of the zeta function; Lefschetz trace formula; resolution of singularities R. Pink, On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne, Ann. of Math., 135 (1992), 483--525. Étale and other Grothendieck topologies and (co)homologies, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne | 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; moduli of vector bundles; coherent systems; Segre invariant; stratification of moduli space Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles Segre invariant and a stratification of the moduli space of coherent 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 zeta-function; Chowla-Selberg formula; orders of an imaginary quadratic field; Faltings' isogeny formula Nakkajima, Y.; Taguchi, Y., \textit{A generalization of the chowla-Selberg formula}, J. Reine Angew. Math., 419, 119-124, (1991) Zeta functions and \(L\)-functions of number fields, Elliptic curves over global fields, Other algebras and orders, and their zeta and \(L\)-functions, Elliptic curves, Quadratic extensions, Isogeny A generalization of the Chowla-Selberg 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 algebraic curves; linear system; faithful tropicalization; skeleton; Berkovich space; nonarchimedean geometry Foundations of tropical geometry and relations with algebra, Rigid analytic geometry, Divisors, linear systems, invertible sheaves Effective faithful tropicalizations associated to 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 locally free bundle of rank 2; Chern classes; jumping conics Structure of families (Picard-Lefschetz, monodromy, etc.) The set of pull-back conics for a fibering of rank 2 on \(P^ 2\) | 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 resolution of singularities; equisingularity Orlando Villamayor U., On equiresolution and a question of Zariski, Acta Math. 185 (2000), no. 1, 123 -- 159. Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects) On equiresolution and a question of Zariski | 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 4-gonal linear systems; scrollar invariants Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Arithmetic ground fields for curves On the difference of 4-gonal linear systems on some 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 complex analytic sets; real algebraic sets; criterion of algebraicity General pluripotential theory, Real algebraic and real-analytic geometry, Real-analytic and semi-analytic sets Pluripotential theory on analytic sets and applications to algebraicity. | 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 Nishiyama, K.: A note on affine quotients and equivariant double fibrations, Infinite dimensional harmonic analysis III, pp. 197--212. World Sci. Publ., Hackensack, NJ (2005) Group actions on varieties or schemes (quotients), Geometric invariant theory A note on affine quotients and equivariant double fibrations | 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 indigenous bundles; Ehrhart polynomials; identities F. Liu and B. Osserman, Mochizuki's indigenous bundles and Ehrhart polynomials, J. Al- gebraic Combin. 26 (2006), 125-136. Vector bundles on curves and their moduli, Local ground fields in algebraic geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Coverings of curves, fundamental group, Arithmetic ground fields for curves, Exact enumeration problems, generating functions Mochizuki's indigenous bundles and Ehrhart 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 equivariant cohomology; Schubert calculus; Grassmannians; quantum cohomology; factorization Laksov, D., Schubert calculus and equivariant cohomology of Grassmannians, Adv. Math. 217 (2008), 1869--1888. Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Equivariant algebraic topology of manifolds Schubert calculus and equivariant cohomology of Grassmannians | 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 Brauer group; Brauer Manin pairing; local fields; Picard number Brauer groups of schemes, de Rham cohomology and algebraic geometry, Motivic cohomology; motivic homotopy theory, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture On the kernel of the Brauer-Manin pairing | 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 regularity of linear systems of plane curves; fat points Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic) 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 toric degenerations; secant varieties; fat points; special systems Brannetti S., Advances in Geometry 10 pp 737-- (2010) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Toric varieties, Newton polyhedra, Okounkov bodies A combinatorial approach to Alexander-Hirschowitz's theorem based on toric degenerations | 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 eigenvalue problem; equivariant cohomology; Schubert calculus; Littlewood-Richardson coefficients; Hermitian matrices; Grassmannians Inequalities involving eigenvalues and eigenvectors, Grassmannians, Schubert varieties, flag manifolds, Equivariant algebraic topology of manifolds Eigenvalues of Hermitian matrices and equivariant cohomology of Grassmannians | 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 algebras of invariants spanned by standard bitableaux; invariants of unipotent group actions; nonreductive groups; straightening law Pommerening, K., \textit{ordered sets with the standardizing property and straightening laws for algebras of invariants}, Adv. Math., 63, 271-290, (1987) Geometric invariant theory, Group actions on varieties or schemes (quotients) Ordered sets with the standardizing property and straightening laws for algebras of 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 reduction formulae; Littlewood-Richardson coefficient; Schubert calculus Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Representations of finite symmetric groups A bijective proof of \(r=1\) reduction formula for Littlewood-Richardson coefficients | 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 inversion of adjunction; big Cohen-Macaulay algebras Perfectoid spaces and mixed characteristic, Singularities in algebraic geometry, Multiplier ideals An analogue of adjoint ideals and PLT singularities in mixed 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 convex set; convex hull; irredundancy; linear matrix inequality; nonsingularity; positive curvature; semialgebraic set; semidefinite programming; semidefinite representation; (strictly) quasi-concavity; singularity; smoothness; sos-concavity; sum of squares J. W. Helton and J. Nie, \textit{Sufficient and necessary conditions for semidefinite representability of convex hulls and sets}, SIAM J. Optim., 20 (2009), pp. 759--791. Semialgebraic sets and related spaces, Topology of real algebraic varieties, Numerical optimization and variational techniques, Semidefinite programming, Convex programming, Abstract computational complexity for mathematical programming problems Sufficient and necessary conditions for semidefinite representability of convex hulls and 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 Nevanlinna's First Main Theorem; Nevanlinna's Second Main theorem; equidistribution theory of meromorphic mappings from the; Carlson- Griffiths viewpoint; defect relations; logarithmic derivative for meromorphic mappings; equidistribution theory of meromorphic mappings from the Carlson-Griffiths viewpoint Shiffman, B.: Introduction to the Carlson-Griffiths equidistribution theory. In: Lecture Notes in Math. \textbf{981}, 44-89 (1983) Value distribution theory in higher dimensions, Nevanlinna theory; growth estimates; other inequalities of several complex variables, Integration on analytic sets and spaces, currents, Integral geometry, Infinitesimal methods in algebraic geometry Introduction to the Carlson-Griffiths equidistribution 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 equivariant \(K\)-theory; equivariant degree; ramification module; equivariant Hurwitz formula; Lefschetz formula; Artin character Niels Borne, Une formule de Riemann-Roch équivariante pour les courbes, Canad. J. Math. 55 (2003), no. 4, 693 -- 710 (French, with French summary). Group actions on varieties or schemes (quotients), Riemann-Roch theorems, Coverings of curves, fundamental group An equivariant Riemann-Roch formula for 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 vanishing cycles; jump of Milnor number; monodromy; critical value of Morse type; ramification index; Picard-Lefschetz formula HA (H.V.) . - La formule de Picard-Lefschetz affine , C.R. Acad. Sci. Paris, t. 321, série I, 1995 , p. 747-750. MR 96k:32078 | Zbl 0869.32017 Deformations of complex singularities; vanishing cycles, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Structure of families (Picard-Lefschetz, monodromy, etc.) Affine Picard-Lefschetz 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 regularity of linear systems of plane curves A. Gimigliano,\textit{On linear systems of plane curves}, Ph.D. thesis, Queen's University, Kingston, 1987. Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic) Regularity of linear systems of 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 flag manifold; equivariant cohomology; double Schubert polynomials; Pieri formula; equivariant Schubert structure constants Shawn Robinson, A Pieri-type formula for \?*_{\?}(\?\?_{\?}(\Bbb C)/\?), J. Algebra 249 (2002), no. 1, 38 -- 58. Classical problems, Schubert calculus, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds A Pieri-type formula for \(H^*_T(SL_n(\mathbb C)/B)\) | 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 inversion formula; jacobian conjecture; vanishing conjecture Zhao W., New proofs for the Abhyankar-Gurjar inversion formula and the equivalence of the Jacobian conjecture and the vanishing conjecture, Proc. Amer. Math. Soc., 2011, 139(9), 3141--3154 Jacobian problem New proofs for the Abhyankar-Gurjar inversion formula and the equivalence of the Jacobian conjecture and the vanishing 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 Singularities of curves, local rings, Local complex singularities On the Milnor formula 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 linear systems on algebraic curves; Clifford index Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves On curves with special 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 cellular complex; complement of a family of hyperplanes in \(\mathbb{C}^ N\); homology of local systems on an affine space; homology group; configurations of hyperplanes; fundamental strata; Grassmannian Prati, M. C.; Salvetti, M.: On local system over complements to arrangements of hyperplanes associated to grassman strata. Ann. mat. Pura appl. 159, 341-355 (1991) Algebraic topology on manifolds and differential topology, Homology with local coefficients, equivariant cohomology, Special varieties On local systems over complements to arrangements of hyperplanes associated to Grassmann strata | 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 Abelian integrals; Poincare-Pontryagin functions; Melnikov functions; polynomial systems; cohomology decompositions; displacement function Uribe, M, Principal Poincaré-Pontryagin function associated to polynomial perturbations of a product of (d+1) straight lines, J Differ Equ, 246, 1313-1341, (2009) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.), Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Structure of families (Picard-Lefschetz, monodromy, etc.), Topological structure of integral curves, singular points, limit cycles of ordinary differential equations Principal Poincaré-Pontryagin function associated to polynomial perturbations of a product of \((d+1)\) straight lines | 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 Seshadri constants; Nagata conjecture; Duminicki's criterion Eckl, Thomas: An asymptotic version of dumnicki's algorithm for linear systems in CP2, Geom. dedicata 137, 149-162 (2008) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces An asymptotic version of Dumnicki's algorithm for linear systems in \({\mathbb{CP}^2}\) | 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 adjoint linear systems; normal surfaces; spannedness; very ampleness; 0-dimensional subscheme; pluricanonical maps Langer, A.: Adjoint linear systems on normal surfaces. J. algebra geom. 8, 41-66 (1999) Adjunction problems, Divisors, linear systems, invertible sheaves Adjoint linear systems on normal 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 tangent cone; analytic set; Łojasiewicz inequality; Łojasiewicz exponent; Brieskorn-Pham polynomial Singularities in algebraic geometry, Analytic subsets of affine space, Local complex singularities On tangent cones of analytic sets and Łojasiewicz exponents | 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 Affine fibrations, Varieties and morphisms, Formal methods and deformations in algebraic geometry The Kraft-Russell generic equivalence theorem and its application | 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 Geometric Langlands program (algebro-geometric aspects), Geometric Langlands program: representation-theoretic aspects Deligne-Lusztig duality on the stack of local 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 Weierstrass points; ramification point; gap sequence Riemann surfaces; Weierstrass points; gap sequences Weierstrass \(n\)-ples on smooth 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 Yıldıran, U; Kose, IE, LMI representations of the convex hulls of quadratic basic semialgebraic sets, J. Convex Anal., 17, 535-551, (2010) Semialgebraic sets and related spaces LMI representations of the convex hulls of quadratic basic semialgebraic 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 pluricanonical mapping; elliptic threefold; Iitaka fibration; elliptic fiber space Elliptic surfaces, elliptic or Calabi-Yau fibrations, Divisors, linear systems, invertible sheaves, \(3\)-folds Pluricanonical divisors of elliptic fiber spaces | 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 rigid analytic variety; Riemann-Hilbert correspondence; \(p\)-adic local system; relative \(p\)-adic Hodge theory; de Rham representation; \(p\)-adic Simpson correspondence Liu, R.; Zhu, X., Rigidity and a Riemann-Hilbert correspondence for \textit{p}-adic local systems, Invent. Math., 207, 291-343, (2017) Rigid analytic geometry, Modular and Shimura varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Ramification and extension theory Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local 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 Gross-Kudla-Schoen cycle; Garrett-Rankin \(p\)-adic \(L\)-function; \(p\)-adic Abel-Jacobi map; Chow group; Coleman integration Darmon, H.; Rotger, V., Diagonal cycles and Euler systems I: a \textit{p}-adic Gross-Zagier formula, Ann. Sci. Éc. Norm. Supér. (4), 47, 4, 779-832, (2014) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, \(p\)-adic theory, local fields, Elliptic curves over global fields, Varieties over global fields, Global ground fields in algebraic geometry, Zeta functions and \(L\)-functions Diagonal cycles and Euler systems. I: A \(p\)-adic Gross-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 Vector bundles on curves and their moduli, Vector bundles on surfaces and higher-dimensional varieties, and their moduli \((t,\ell)\)-stability and coherent 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 infinite dimensional Grassmannian; Sato Grassmannian; sheaves; algebraic curves Motohico Mulase, A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves, Theta functions --- Bowdoin 1987, Part 1 (Brunswick, ME, 1987) Proc. Sympos. Pure Math., vol. 49, Amer. Math. Soc., Providence, RI, 1989, pp. 39 -- 50. Infinite-dimensional manifolds, Families, moduli of curves (algebraic), Grassmannians, Schubert varieties, flag manifolds A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic 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 invariant; covariant; P-modular; determinant; permanent; prime characteristic; projective geometry; code; complete weight enumerator; additive basis Glynn D.G.: An invariant for matrices and sets of points in prime characteristic. Des. Codes Cryptogr. 58, 155--172 (2011) Algebraic combinatorics, Matrices, determinants in number theory, Algebraic coding theory; cryptography (number-theoretic aspects), Geometric invariant theory, Determinants, permanents, traces, other special matrix functions, Matrices over special rings (quaternions, finite fields, etc.), Vector and tensor algebra, theory of invariants, General theory of linear incidence geometry and projective geometries, Geometric methods (including applications of algebraic geometry) applied to coding theory An invariant for matrices and sets of points in prime 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 bundles of collineations; moduli varieties; null-systems Projective techniques in algebraic geometry, Determinantal varieties, Algebraic moduli problems, moduli of vector bundles, Sheaves in algebraic geometry On bundles of collineations and null-systems of projective spaces | 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 characteristic \(p\); uniformization of singularities; Newton polygon Moh, T.T.: On a Newton polygon approach to the uniformization of singularities of characteristic \(p\). In: Algebraic geometry and singularities (La Rábida, 1991), 49-93, Progr. Math.\textbf{134}, Birkhäuser (1996) Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Valuation rings, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure On a Newton polygon approach to the uniformization of singularities of characteristic \(p\) | 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 Geometric aspects of tropical varieties, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Embeddings in algebraic geometry Effective faithful tropicalizations associated to adjoint 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 Bridgeland stability; Catalan numbers; autoequivalence Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Exact enumeration problems, generating functions, Combinatorial aspects of algebraic geometry A note on Bridgeland stability conditions and Catalan numbers | 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 factorial Schur polynomials; equivariant quantum cohomology; GKM conditions; equivariant Schubert calculus Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus A relation between symmetric polynomials and the algebra of classes, motivated by 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 unipotent groups; bimultiplicative local systems Cohomology of bimultiplicative local systems on unipotent groups | 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, linear systems, invertible sheaves, Plane and space curves Linear systems of plane curves with base points of bounded multiplicity | 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 hypergeometric integral; hypersphere arrangement; twisted rational de Rham cohomology; Cayley-Menger determinant; contiguity relation; Gauss-Manin connection; Schläfli formula Other hypergeometric functions and integrals in several variables, de Rham cohomology and algebraic geometry, Relationships between algebraic curves and integrable systems Generalization of Schläfli formula to the volume of a spherically faced simplex | 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 vector bundles; semistable; stable; galois descent Langer A, Moduli Spaces of sheaves and principal \(G\)-bundles, Alg. Geometry-Seattle 2005 Part I, 273-308, Proc. Symp. Pure Math., 80, Part I, AMS, Providence RI (2009) An analogue of Langton's theorem on valuative criteria for vector 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 singularity; Newton number Abderrahmane, O. M., On the łojasiewicz exponent and Newton polyhedron, Kodai Math. J., 28, 106-110, (2005) Singularities in algebraic geometry, Local complex singularities On the Łojasiewicz exponent and Newton polyhedron | 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 Cremona transformation; virtual dimension; fat point scheme; linear systems Laface, A.; Ugaglia, L., On a class of special linear systems of \(\mathbb{P}^3\), Trans. Amer. Math. Soc., 358, 5485-5500, (2006), (electronic) Divisors, linear systems, invertible sheaves On a class of special linear systems of \(\mathbb{P}^3\) | 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 toric combinatorial techniques; Fujita conjecture Lin, H.-W., Combinatorial method in adjoint linear systems on toric varieties, Michigan Math. J., 51, 491-501, (2003) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies Combinatorial method in adjoint linear systems on toric 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 ruled surfaces; interpolation Divisors, linear systems, invertible sheaves, Elliptic curves Elliptic surfaces and linear systems with fat 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 homogeneous line bundle; characteristic \(p\); negative Euler characteristic; counter-example to Kodaira's vanishing theorem Lauritzen, N.: The Euler characteristic of a homogeneous line bundle. C. R. Acad. sci. Paris sér. I 315, 715-718 (1992) Topological properties in algebraic geometry, Homogeneous spaces and generalizations The Euler characteristic of a homogeneous line bundle | 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 Frank Sottile, Rational curves on Grassmannians: systems theory, reality, and transversality, Advances in algebraic geometry motivated by physics (Lowell, MA, 2000) Contemp. Math., vol. 276, Amer. Math. Soc., Providence, RI, 2001, pp. 9 -- 42. Grassmannians, Schubert varieties, flag manifolds, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Enumerative problems (combinatorial problems) in algebraic geometry, Classical problems, Schubert calculus, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Real algebraic and real-analytic geometry, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, Pole and zero placement problems Rational curves on Grassmannians: systems theory, reality, and transversality | 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 Brauer equivalence; homogeneous space Galois cohomology, Global ground fields in algebraic geometry, Brauer groups of schemes Brauer equivalence in a homogeneous space with connected stabilizer | 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.: On the Euler--Poincaré characteristic of semi-analytic sets and semi-algebraic sets. Math. Proc. Camb. Phil. Soc. 135(3), 527--538 (2003) Semialgebraic sets and related spaces, Local cohomology and algebraic geometry, Germs of analytic sets, local parametrization On the Euler characteristic of semi-analytic and 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 equidistribution of cycles; Arakelov geometry; heights; essential minimum Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Algebraic cycles Higher dimensional essential minima and equidistribution of cycles | 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 formal group; equivariant cohomology Strickland, N., Multicurves and equivariant cohomology, Mem. Amer. Math. Soc., vol. 213, (2011), vi+117 pp. Research exposition (monographs, survey articles) pertaining to algebraic topology, Generalized (extraordinary) homology and cohomology theories in algebraic topology, Bordism and cobordism theories and formal group laws in algebraic topology, Equivariant homology and cohomology in algebraic topology, Formal groups, \(p\)-divisible groups Multicurves and equivariant 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 linear interval equations; semialgebraic set; system Linear equations (linear algebraic aspects), Linear inequalities of matrices, Interval and finite arithmetic, Semialgebraic sets and related spaces A comment on the shape of the solution set for systems of interval linear equations with dependent coefficients | 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 geometry Über die Jacobische Kurve eines Systems von drei Kurven und den Begriff ``Abhängigkeit'' bei homogenen Polynomen | 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 spectral sequence; stable Spencer cohomology; de Rham cohomology Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.), Differential complexes, Spectral sequences, hypercohomology, de Rham cohomology and algebraic geometry, Nonlinear higher-order PDEs, Jets in global analysis, Spectral problems; spectral geometry; scattering theory on manifolds, Spectral sequences in algebraic topology Spectral sequences of stable Spencer cohomology for systems of differential equations over characteristic 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 Segre varieties; tangential variety; variety of principal minors \beginbarticle \bauthor\binitsL. \bsnmOeding, \batitleSet-theoretic defining equations of the tangential variety of the Segre variety, \bjtitleJ. Pure Appl. Algebra \bvolume215 (\byear2011), no. \bissue6, page 1516-\blpage1527. \endbarticle \OrigBibText \biboeding11_1article author=Oeding, Luke, title=Set-theoretic defining equations of the tangential variety of the Segre variety, date=2011, ISSN=0022-4049, journal=J. Pure Appl. Algebra, volume=215, number=6, pages=1516\ndash1527, url=http://dx.doi.org/10.1016/j.jpaa.2010.09.009, review=, \endOrigBibText \bptokstructpyb \endbibitem Mathematical Reviews (MathSciNet): URL: Link to item Group actions on varieties or schemes (quotients), Determinantal varieties, Actions of groups on commutative rings; invariant theory, Representation theory for linear algebraic groups, Vector and tensor algebra, theory of invariants Set-theoretic defining equations of the tangential variety of the Segre 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 Global theory and resolution of singularities (algebro-geometric aspects), Real-analytic and semi-analytic sets, Singularities of curves, local rings Desingularization and equisingularity at undergraduate level | 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 ample line bundle; vanishing theorem De Cataldo, M. A. A.: Vanishing via lifting to second Witt vectors and a proof of an isotriviality result. Journal of algebra 219, 255-265 (1999) Vanishing theorems in algebraic geometry Vanishing via lifting to second Witt vectors and a proof of an isotriviality result | 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 Singularities of surfaces or higher-dimensional varieties, Fano varieties Algebraicity of the metric tangent cones and 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 Hilbert function; Hilbert functions of zero dimensional subschemes of projective 3-space; degree Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Surfaces and higher-dimensional varieties Properties of linear systems of surfaces of \(\mathbb{P} ^ 3\) related with the Hilbert function of their 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 moduli spaces of vector bundles; theta functions; (quantized) Hitchin system; Knizhnik-Zamolodchikov-Bernard connection B. Enriquez, V. Rubtsov, Hecke-Tyurin parametrization of the Hitchin and KZB systems. math.AG/9911087v1 Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Theta functions and abelian varieties, Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) Hecke-Tyurin parametrization of the Hitchin and KZB 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 surface singularity; fixed component; reducible curve K. Konno, On the fixed loci of the canonical systems over normal surface singularities, Asian J. Math. 12 (2008), 449--464. Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry On the fixed loci of the canonical systems over normal surface 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 Euclidean geometry; invariant of \(m\)-tuple; \(m\)-point invariant Geometric invariant theory, Quadratic and bilinear forms, inner products, Vector and tensor algebra, theory of invariants Complete systems of invariant of \(m\)-tuples for fundamental groups of the two-dimensional Euclidian 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 normal isolated singularity; plurigenera Watanabe K., On plurigenera of normal isolated singularities II, Complex analytic singularities (T. Suwa and P. Wagreigh, eds.), Advanced Studies in Pure Math., 8, Kinokuniya, Tokyo and North-Holland, Amsterdam, New York, Oxford, 1986, 671-685. Complex singularities, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Stein spaces, Modifications; resolution of singularities (complex-analytic aspects), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) On plurigenera of normal isolated singularities. 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 geometric systems theory; scattering; filtering; pole-placement; linear input-output system; Heaviside-Mikusinski theory of differential fields and operators; Kronecker pencil Hermann, R.: Topics in the geometric theory of linear systems. Interdisciplinary mathematics (1984) Research exposition (monographs, survey articles) pertaining to systems and control theory, Algebraic methods, Linear systems in control theory, Structure, classification theorems for modules and ideals in commutative rings, Curves in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Scattering theory of linear operators, Realizations from input-output data, Pole and zero placement problems, Filtering in stochastic control theory Topics in the geometric theory of 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 LR-coefficient; LR-tableau; Reduction formula; Grassmannian; Schubert class Cho S., Jung E.-K., Moon D.: A bijective proof of the second reduction formula for Littlewood-Richardson coefficients. Bull. Korean Math. Soc. 45(3), 485--494 (2008) Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds A bijective proof of the second reduction formula for Littlewood-Richardson coefficients | 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 group action; \(G\)-varieties; equivariant 1-forms; indices; Chern obstructions; characteristic numbers Singularities in algebraic geometry, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Variational aspects of group actions in infinite-dimensional spaces, Differential forms in global analysis, Characteristic classes and numbers in differential topology Indices of collections of equivariant 1-forms and characteristic numbers | 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 square; HFE; degree of regularity Cryptography, Quantum cryptography (quantum-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry, Solving polynomial systems; resultants, Analysis of algorithms and problem complexity Inverting square systems algebraically is exponential | 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 symplectic Grassmannian; Schubert calculus; Giambelli formula; Pfaffian; signed permutation; \(k\)-strict partition Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus Equivariant Giambelli formula for the symplectic Grassmannians-Pfaffian sum 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 invariant linear subsystem; tropical curves Geometric aspects of tropical varieties, Graphs and abstract algebra (groups, rings, fields, etc.), Riemann surfaces; Weierstrass points; gap sequences Generators of invariant linear system on tropical curves for finite isometry group | 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 varieties of full flags; unipotent elements; irreducible components; right cells; variety of Borel subgroups; standard Young tableaux; involutions; actions; generic Hecke algebras J. Matthew Douglass, An involution of the variety of flags fixed by a unipotent linear transformation, Adv. in Appl. Math. 17 (1996), no. 3, 357 -- 379. Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Representations of finite symmetric groups, Linear algebraic groups over the reals, the complexes, the quaternions An involution of the variety of flags fixed by a unipotent linear transformation | 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 (Mori theory, extremal rays), Singularities of holomorphic vector fields and foliations On invariance of plurigenera for foliations on 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 hyperplane section; Lefschetz pencil; Bertini theorem; discrete valuation ring Jannsen, U.; Saito, S., Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory, J. Algebr. Geom., 21, 683-705, (2012) Divisors, linear systems, invertible sheaves, Pencils, nets, webs in algebraic geometry, Projective techniques in algebraic geometry Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field 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 plurigenera; projective surface; surface of general type; Riemann-Roch theorem Surfaces of general type, Projective techniques in algebraic geometry, Riemann-Roch theorems A bound on the plurigenera of projective 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 positive polynomial; torus; Positivstellensatz; delay system Silviu-Iulian Niculescu and Mihai Putinar, A toric Positivstellensatz with applications to delay systems, C. R. Math. Acad. Sci. Paris 349 (2011), no. 5-6, 327 -- 329 (English, with English and French summaries). Real algebra, Semialgebraic sets and related spaces A toric positivstellensatz with applications to delay 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 Łojasiewicz exponent; polynomial mapping; resultant Chądzyński, Resultant and the Łojasiewicz exponent, Ann. Polon. Math. 61 pp 95-- (1995) Singularities in algebraic geometry, Local complex singularities Resultant and the Łojasiewicz exponent | 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 holomorphic Lefschetz numer; holomorphic automorphism; finite number of fixed points; singular variety; holomorphic fixed point formula; equivariant intersection number; Zariski tangent space Étale and other Grothendieck topologies and (co)homologies, Complex singularities, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Singularities in algebraic geometry, Fixed points and coincidences in algebraic topology Fixed point formula for singular 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 irregular varieties; general type; pluricanonical systems Chen J.A. and Hacon C.D. (2007). Pluricanonical systems on irregular 3-folds of general type. Math. Z. 255: 343--355 Rational and birational maps, Divisors, linear systems, invertible sheaves, \(3\)-folds Pluricanonical systems on irregular 3-folds of general type | 0 |
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