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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 irregular variety; variety of maximal Albanese dimension; eventual map; continuous rank function; Clifford-Severi inequalities Divisors, linear systems, invertible sheaves, Surfaces of general type, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\)) Linear systems on irregular 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 Castelnuovo curves; Castelnuovo bound; linear system Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves A note about 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 linear systems; fat points; Harbourne-Hirscowitz conjecture; Hirzebruch surface Dumnicki, M., Special homogeneous linear systems on Hirzebruch surfaces, Geom. Dedicata, 147, 283-311, (2010) Plane and space curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Special homogeneous linear systems on Hirzebruch 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 characteristic-\(p\) curves; Grothendieck-Ogg-Shafarevich formula; étale sheaves; Riemann-Hilbert correspondence; Frobenius endomorphism; minimal roots Étale and other Grothendieck topologies and (co)homologies, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, \(p\)-adic cohomology, crystalline cohomology An Euler-Poincaré bound for equicharacteristic étale 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 vector bundles; theta divisors; Hecke correspondence Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Algebraic cycles Families of vector bundles and linear systems of theta divisors | 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 nonalgebraically closed ground field; real divisor class group; factorial coordinate domain; ideal of definition Margherita Roggero, Sui sistemi lineari e il gruppo delle classi di divisori di una varietà reale, Ann. Mat. Pura Appl. (4) 135 (1983), 349 -- 362 (1984) (Italian). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Real algebraic and real-analytic geometry, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves On linear systems and the divisor class group of a real 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 periodic meromorphic functions; Cousin quasi-tori; quasi-abelian varieties; projective embedding Analytic theory of abelian varieties; abelian integrals and differentials, Meromorphic functions of several complex variables, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Classical real and complex (co)homology in algebraic geometry, Divisors, linear systems, invertible sheaves Linear systems on quasi-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 rational surface; Gauss map; very ample line bundle; plane curves; embeddings of rational surfaces; spanned line bundle; linear systems of plane curves; plane curves with prescribed singularities; injectivity of the Gauss map; blowing-up; very ample; Gauss maps C. De Volder, Very ampliness and Gauss maps of linear systems on blowings-up of projective varieties. Ph. D. Thesis, University of Ghent, 2000. Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Projective techniques in algebraic geometry, Plane and space curves Very ampleness and Gauss maps of linear systems on blowings-up of projective 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 Vector bundles on surfaces and higher-dimensional varieties, and their moduli Coherent systems on \(\mathbb{P}^n\) obtained from the tangent and the cotangent 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 deformed differentials; de Rham cohomology Alaniya, L. A.: On cohomologies with coefficients in a local system close to a trivial one. Russian math. Surveys 52, No. 2, 390-391 (1997) Homology with local coefficients, equivariant cohomology, de Rham cohomology and algebraic geometry On cohomologies with coefficients in a local system close to a trivial one | 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 cotangent cohomology; Grassmannians; local cohomology Christophersen, Jan Arthur; Ilten, Nathan: Vanishing cotangent cohomology for plücker algebras. (2014) Grassmannians, Schubert varieties, flag manifolds, Local cohomology and algebraic geometry, Formal methods and deformations in algebraic geometry, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) Vanishing cotangent cohomology for Plücker algebras | 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 varieties, Newton polyhedra, Okounkov bodies, Combinatorial aspects of simplicial complexes, Divisors, linear systems, invertible sheaves Newton-Okounkov bodies over discrete valuation rings and linear systems on graphs | 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 Dirichlet correspondence; arithmetic Riemann-Roch theorem Algebraic theory of quadratic forms; Witt groups and rings, Varieties over finite and local fields, Étale and other Grothendieck topologies and (co)homologies Eisenstein formula and Dirichlet correspondence | 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 Galois covering of complete non-singular curves; Hasse-Witt invariants; differentials with poles; invariant effective divisors; Deuring- Shafarevich formula Nakajima, S., Equivariant form of the Deuring-šafarevič formula for Hasse-Witt invariants, Math. Z., 190, 559-566, (1985) Coverings of curves, fundamental group, Divisors, linear systems, invertible sheaves, Galois theory, Arithmetic theory of algebraic function fields Equivariant form of the Deuring-Šafarevič formula for Hasse-Witt 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 relative \(K\)-groups; projective bundle; Mumford-regular bundle Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(K\)-theory of schemes, Abelian categories, Grothendieck categories Projective bundle formula for Heller's relative \(K_0\) | 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 restricted system equivalence; algebraic group action; orbit space; generalized state space system Geometric methods, Algebraic moduli problems, moduli of vector bundles, General theory for ordinary differential equations, Matrix pencils Orbit closures of singular systems under restricted system 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 Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Base locus of linear systems containing a fixed finite set | 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; core subalgebras; induced representations I. Cherednik and D. Orr. ''One-dimensional nil-DAHA and Whittaker functions II''. Trans form. Groups 18 (2013), pp. 23--59.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, Filtered associative rings; filtrational and graded techniques One-dimensional nil-DAHA and Whittaker functions. 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 quantum groups; support varieties; cohomology; Frobenius kernels; restricted Lie algebra Drupieski, C.; Nakano, D.; Parshall, B., Differentiating the Weyl generic dimension formula with application to support varieties, Adv. Math., 229, 2656-2668, (2012) Quantum groups (quantized enveloping algebras) and related deformations, Modular Lie (super)algebras, Cohomology of Lie (super)algebras Differentiating the Weyl generic dimension formula with applications to support 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 algebraic geometry Algebraic geometry Einige Betrachtungen über lineare Systeme | 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 ground fields in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Hecke-Petersson operators, differential operators (one variable) Equidistribution of Frobenius eigenvalues | 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 supersymmetric field theory; wall-crossing; Hitchin systems; Fock-Goncharov coordinates; hyper-Kähler geometry D. Gaiotto, G.W. Moore and A. Neitzke, \textit{Wall-crossing, Hitchin Systems and the WKB Approximation}, arXiv:0907.3987 [INSPIRE]. Supersymmetric field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Twistor methods in differential geometry, Relationships between algebraic curves and integrable systems, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Yang-Mills and other gauge theories in quantum field theory, Representations of quivers and partially ordered sets, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Wall-crossing, Hitchin systems, and the WKB approximation | 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 Ruffo, J.: A straightening law for the Drinfeld Lagrangian Grassmannian, Proceedings of the 32nd international symposium on symbolic and algebraic computation, 323-330 (2008) Rings with straightening laws, Hodge algebras, Grassmannians, Schubert varieties, flag manifolds A straightening law for the Drinfel'd Lagrangian 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 local systems; \(\ell\)-adic smooth sheaf; Lefschetz fixed point formula; automorphic representations; function fields; \(\mathrm{GL}(n)\); principal unipotent local monodromy; trace formula P. Deligne and Y. Flicker, Counting local systems with principal unipotent local monodromy, Ann. of Math. (2) 178 (2013), 921-982. Étale and other Grothendieck topologies and (co)homologies, Cohomology of arithmetic groups, Finite ground fields in algebraic geometry, Modular and Shimura varieties, Structure of families (Picard-Lefschetz, monodromy, etc.) Counting local systems with principal unipotent local monodromy | 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 cycles; motive; Chow groups; Bloch-Beilinson conjectures (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) On the Chow groups of Plücker hypersurfaces in 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 normal surface; Cartier divisor; adjoint linear system; cluster; nef Weil divisor; Fujita conjecture; Gorenstein scheme; Reider type theorems Langer, A.: Adjoint linear systems on normal surfaces II. J. algebra geom. 9, 71-92 (2000) Adjunction problems, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory Adjoint linear systems on normal surfaces. 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 equisingularity; schemes over Dedekind rings; \(0\)-dimensional ideals; smooth surfaces; arithmetic \(3\)-fold [NV2]---, Arithmetic families of smooth surfaces and equisingularity of embedded schemes.Manuscripta Math., 100 (1999), 173--196. Global theory and resolution of singularities (algebro-geometric aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Dedekind, Prüfer, Krull and Mori rings and their generalizations Arithmetic families of smooth surfaces and equisingularity of embedded schemes | 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; equivariant bundle; Serre problem; toric variety Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Holomorphic bundles and generalizations, Toric varieties, Newton polyhedra, Okounkov bodies On equivariant Serre problem for 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 Schubert calculus; affine Grassmannian; Pieri rule; quantum cohomology Lam, T; Shimozono, M, Equivariant Pieri rule for the homology of the affine Grassmannian, J. Algebr. Combin., 36, 623-648, (2012) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds Equivariant Pieri rule for the homology of 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 Kazhdan-Lusztig polynomials; matroids; equivariant matroids; representation theory; symmetric functions; log concavity; linear species; Schubert calculus; representation stability K. Gedeon, N. Proudfoot, and B. Young. ''The equivariant Kazhdan--Lusztig polynomial of a matroid''. 2016. arXiv:1605.01777. Combinatorial aspects of representation theory, Combinatorial aspects of matroids and geometric lattices, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Symmetric functions and generalizations, Classical problems, Schubert calculus The equivariant Kazhdan-Lusztig polynomial of a matroid | 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; Schubert calculus Helmke, U.: The cohomology of moduli spaces of linear dynamical systems. Regensburger mathematische schriften (1992) Controllability, Geometric methods, Linear systems in control theory, Fine and coarse moduli spaces, Topological properties in algebraic geometry, Canonical forms, reductions, classification The cohomology of the moduli space of controllable 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 LeBrun twistor spaces; singularities of rational curves Nobuhiro Honda, On pluri-half-anticanonical systems of LeBrun twistor spaces, Proc. Amer. Math. Soc. 138 (2010), no. 6, 2051 -- 2060. Twistor theory, double fibrations (complex-analytic aspects), Twistor methods in differential geometry, Singularities of curves, local rings On pluri-half-anticanonical systems of LeBrun twistor 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 normal surface singularity; sandwiched singularity; complete ideal; Enriques diagram; equisingularity Alberich-Carramiñana, M.; Fernández-Sánchez, J.: Equisingularity classes of birational projections of normal singularities to a plane, Adv. math. 216, 753-770 (2007) Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Regular local rings Equisingularity classes of birational projections of normal singularities to a 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 Singularities in algebraic geometry, Deformations of singularities, Local complex singularities, Equisingularity (topological and analytic) Straight equisingular deformations and punctual Hilbert schemes | 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 Cindy De Volder and Antonio Laface, A note on the very ampleness of complete linear systems on blowings-up of \Bbb P³, Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 231 -- 236. Divisors, linear systems, invertible sheaves A note on the very ampleness of complete linear systems on blowings-up 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 canonical bundle formula; log abundance; positive characteristic Minimal model program (Mori theory, extremal rays), Rational and birational maps On the canonical bundle formula and log abundance 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 Schubert varieties; isotropic grassmannians; triple intersections; Pieri formulas; intersection multiplicities Sottile, F.: Pieri-type formulas for maximal isotropic Grassmannians via triple intersections. Colloq. Math. 82, 49--63 (1999) Grassmannians, Schubert varieties, flag manifolds Pieri-type formulas for maximal isotropic Grassmannians via triple intersections | 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; action of reductive group; linearizable algebraic action; trivial bundle over a representation Group actions on varieties or schemes (quotients) Algebraic equivariant vector bundles and the linearity problem | 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 general type; vanishing theorems; volume of a divisor; restricted volume; canonical divisor; multiplier ideals; klt pairs; non-klt locus; fujita's conjecture; augmented base locus O. Debarre, Systèmes pluricanoniques sur les variétés de type général , Astérisque 311 (2008), 119--140., Seminaire Bourbaki 2006/2007, exp.no. 970. \(n\)-folds (\(n>4\)), Vanishing theorems in algebraic geometry, Embeddings in algebraic geometry, Minimal model program (Mori theory, extremal rays) Pluricanonical systems on varieties of general type | 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, Homogeneous spaces and generalizations, Symmetric functions and generalizations Upper triangular linear relations on multiplicities and the Stanley-Stembridge 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 Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves Non-primitive linear systems on smooth algebraic curves and a generalization of Maroni 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 Schubert calculus; equivariant integral cohomology; equivariant Pieri formula, exterior algebra Huang, Y., Li, C.: On equivariant quantum Schubert calculus for \(G/P\). J. Algebra (to appear). arXiv:1506.00872 [math.AG] Classical problems, Schubert calculus 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 algebraic geometry; systems theory; McMillan degree; Kronecker indices; transfer functions; system invariants; Grassmann manifold; Grothendieck invariants R. Hermann and C. Martin, ''Application of algebraic geometry to systems theory: Part II: The McMillan degree and Kronecker indices as topological and holomorphic invariants,''SIAM J. Contr. Optimiz.,16, 743--755 (1978). Algebraic methods, Vector and tensor algebra, theory of invariants, Multivariable systems, multidimensional control systems, Grassmannians, Schubert varieties, flag manifolds Applications of algebraic geometry to systems theory: the McMillan degree and Kronecker indices of transfer functions as topological and holomorphic system 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 equichordal point problem; Jordan curve; heteroclinic connection; Riemann surface; invariant manifold; algebraic map; stable manifold Marek Rychlik, A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weitzenböck, Inventiones Math. (1996), accepted for publication. Elementary problems in Euclidean geometries, Questions of classical algebraic geometry, Metric geometry, Curves in Euclidean and related spaces, Riemann surfaces, Elliptic curves A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck | 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 Giambelli formula; isotropic Grassmannians; raising operators; theta polynomials; Schubert polynomials Buch, A.; Kresch, A.; Tamvakis, H., \textit{A Giambelli formula for isotropic Grassmannians}, Selecta Math. (N.S.), 23, 869-914, (2017) Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds A Giambelli formula for isotropic 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 linear systems; curves; surfaces; fat points Lenarcik, T., Linear systems over \(\mathbb{P}^1 \times \mathbb{P}^1\) with base points of multiplicity bounded by three, Ann. Pol. Math., 101, 105-122, (2011) Plane and space curves, Computational aspects of algebraic curves Linear systems over \(\mathbb{P}^{1}\times \mathbb{P}^{1}\) with base points of multiplicity bounded by three | 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; Hilbert function Yang, S., Linear systems in \(\mathbb P^2\) with base points of bounded multiplicity, J. Algebraic Geom., 16, 1, 19-38, (2007) Divisors, linear systems, invertible sheaves Linear systems in \(\mathbb P^2\) 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 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Vector bundles on curves and their moduli Stable coherent systems \((E,V)\) with \(\operatorname{rank}(E)= \dim(V)\) on projective 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 Eulerian numbers; Hessenberg variety; Betti numbers; eigenvalues; Hessenberg form; QR-iteration De Mari, F. and Shayman, M.A. Generalized Eulerian numbers and the topology of the Hessenberg variety of a matrix,Acta Appl. Math.,12, 213--235, (1988). Numerical computation of eigenvalues and eigenvectors of matrices, Grassmannians, Schubert varieties, flag manifolds, Homogeneous complex manifolds, Factorials, binomial coefficients, combinatorial functions Generalized Eulerian numbers and the topology of the Hessenberg variety of a matrix | 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 push-forward; Gysin homomorphism; equivariant cohomology; torus action; residue formulas; Grassmanian; nonabelian localization Homology and cohomology of homogeneous spaces of Lie groups, Equivariant algebraic topology of manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds, Compact Lie groups of differentiable transformations Residue formulas for push-forwards in equivariant cohomology: a symplectic approach | 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 invariant theory, Actions of groups on commutative rings; invariant theory, Commutative Artinian rings and modules, finite-dimensional algebras, General theory of group and pseudogroup actions An equivariant Hilbert basis 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 fundamental points for a one-parameter system of n-dimensional linear subspaces; generalized biaxial space Projective analytic geometry, Questions of classical algebraic geometry, Projective techniques in algebraic geometry, Projective differential geometry Fundamental points for a one-parameter system of \(n\)-dimensional linear subspaces in the generalized biaxial space \(P^{n,n+1}_{2(n+1)}\) of even dimension | 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 relative Gromov-Witten invariants J. Li, ''A degeneration formula of GW-invariants,'' J. Differential Geom., vol. 60, iss. 2, pp. 199-293, 2002. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) A degeneration formula of GW-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 Singularities in algebraic geometry, Local complex singularities, Equisingularity (topological and analytic), Deformations of singularities, Singularities of curves, local rings, Research exposition (monographs, survey articles) pertaining to algebraic geometry Singularities in positive characteristic: equisingularity, classification, determinacy | 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 continued fractions; algorithm for Riemann-Roch space; Jacobian reduction; linear systems; divisor on a hyperelliptic curve Berry, T. G.: Construction of linear systems on hyperelliptic curves. J. symb. Comput. 26, 315-327 (1998) Computational aspects of algebraic curves, Jacobians, Prym varieties, Symbolic computation and algebraic computation, Continued fractions; complex-analytic aspects, Continued fractions Construction of linear systems on hyperelliptic 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 log-canonical ring; Kodaira dimension; threefold Osamu Fujino & Shigefumi Mori, ``A canonical bundle formula'', J. Differ. Geom.56 (2000) no. 1, p. 167-188 Adjunction problems, \(n\)-folds (\(n>4\)), Divisors, linear systems, invertible sheaves, \(3\)-folds 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 moduli space of stable principal \(G\)-bundles; generalized Prym varieties; spectral cover; Hitchin map Scognamillo, R.: An elementary approach to the abelianization of the Hitchin system for arbitrary reductive groups. Compos. Math. 110(1), 17--37 (1998) Algebraic moduli problems, moduli of vector bundles, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Holomorphic bundles and generalizations An elementary approach to the abelianization of the Hitchin system for arbitrary reductive 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 representations of fundamental group; local systems on complex projective variety; moduli space of algebraic curve; families of representations; direct image of a harmonic bundle; Higgs bundle; spectral varieties of the Higgs bundles Simpson C.: Some families of local systems over smooth projective varieties. Ann. Math. 138, 337--425 (1993) Homotopy theory and fundamental groups in algebraic geometry, Families, moduli of curves (algebraic), Variation of Hodge structures (algebro-geometric aspects) Some families of local systems over smooth projective 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 Robinson-Schensted insertion; Schubert calculus; Pieri formula; affine Grassmannian Lam, T., Lapointe, L., Morse, J., Shimozono, M.: Affine insertion and Pieri rules for the affine Grassmannian. Mem. Am. Math. Soc. \textbf{208}, 977 (2010) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Classical problems, Schubert calculus Affine insertion and Pieri rules for 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 Mukai flop; hyper-Kähler manifold; Lagrangian submanifold; Legendre dual subvarieties Holomorphic symplectic varieties, hyper-Kähler varieties, Calabi-Yau manifolds (algebro-geometric aspects), Rational and birational maps, Projective differential geometry, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry Mukai flops and Plücker-type formulas for hyper-Kähler manifolds | 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 Riemann surface; complex variety; degeneration; monodromy; group action; representation; moduli space; universal family Structure of families (Picard-Lefschetz, monodromy, etc.), Automorphisms of curves, Differentials on Riemann surfaces, Families, moduli of curves (analytic) Linearization of quotient families | 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 multiple coverings of curves; double coverings; base point free pencils Special divisors on curves (gonality, Brill-Noether theory), Coverings of curves, fundamental group Linear systems on multiple coverings of a smooth 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 linearization of semisimple groups; flat algebraic group scheme; equivariant resolution Thomason, R. W., \textit{equivariant resolution, linearization, and hilbert's fourteenth problem over arbitrary base schemes}, Adv. Math., 65, 16-34, (1987) Group schemes, Group actions on varieties or schemes (quotients) Equivariant resolution, linearization, and Hilbert's fourteenth problem over arbitrary base schemes | 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; Segre-Gimigliano-Harbourne-Hirschowitz conjecture; systems of plane curves Plane and space curves, Computational aspects of algebraic curves Quasi-homogeneous linear systems on \(\mathbb P^2\) with base points of multiplicity 7, 8, 9, 10 | 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 maps; varieties of general type Shigeharu Takayama, ``Pluricanonical systems on algebraic varieties of general type'', Invent. Math.165 (2006) no. 3, p. 551-587 \(n\)-folds (\(n>4\)), Rational and birational maps Pluricanonical systems on algebraic varieties of general type | 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 polynomial interpolation; linear systems; fat points; rational normal curves; special effect varieties Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties, Hypersurfaces and algebraic geometry On linear systems with multiple points on a rational normal 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 birational rigidity; Sarkisov program; Shokurov connectedness; 3-fold Mori fibre spaces A. Corti, Singularities of linear systems and 3-fold birational geometry, Explicit birational geometry of 3-folds, London Math. Soc. Lecture Note Ser. 281, Cambridge University Press, Cambridge (2000), 259-312. \(3\)-folds, Divisors, linear systems, invertible sheaves, Rational and birational maps Singularities of linear systems and 3-fold birational 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 Biswas, I.; Ducrohet, L., An analog of a theorem of lange and stuhler for principal bundles, C. R. Acad. Sci. Paris, Ser. I, 345, 9, 495-497, (2007) Vector bundles on curves and their moduli, Local ground fields in algebraic geometry An analog of a theorem of Lange and Stuhler for 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 Gromov-Witten; root systems; Hodge integrals; crepant resolution conjecture; orbifolds Bryan, J.; Gholampour, A., Hurwitz-Hodge integrals, the \(E_6\) and \(D_4\) root systems, and the crepant resolution conjecture, Adv. Math., 221, 4, 1047-1068, (2009) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Global theory and resolution of singularities (algebro-geometric aspects) Hurwitz-Hodge integrals, the \(E_6\) and \(D_4\) root systems, and the crepant resolution 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 bicanonical map; algebraic surface; Kawamata-Viehweg vanishing theorem DOI: 10.2140/pjm.2005.219.83 Surfaces of general type, Special surfaces, Families, moduli of curves (algebraic) Bicanonical and adjoint linear systems on surfaces of general type | 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 representation theory; rationality; moduli spaces; plane curves; group quotients Böhning Chr., Graf v. Bothmer H.-Chr.: A Clebsch--Gordan formula for \$\$\{\(\backslash\)mathrm\{SL\}\_3 (\(\backslash\)mathbb\{C\})\}\$\$ and applications to rationality. Adv. Math. 224, 246--259 (2010) Families, moduli of curves (algebraic), Representation theory for linear algebraic groups, Algebraic moduli problems, moduli of vector bundles, Coverings in algebraic geometry, Group actions on varieties or schemes (quotients) A Clebsch-Gordan formula for \(\text{SL}_3(\mathbb C)\) and applications to rationality | 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 Pukhlikov, AV, On the self-intersection of a movable linear system, J. Math. Sci., 164, 119-130, (2010) Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Birational automorphisms, Cremona group and generalizations, Rationality questions in algebraic geometry On the self-intersection of a movable linear 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 symmetric invariant; centralizer; polynomial algebra; slodowy grading Simple, semisimple, reductive (super)algebras, Coadjoint orbits; nilpotent varieties, Actions of groups on commutative rings; invariant theory, Geometric invariant theory The symmetric invariants of centralizers and Slodowy grading. 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 spanned line bundle Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves General sets and base loci of very ample 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 Brill-Noether theory; moduli space; variety parametrizing complete linear systems Steffen F.: A generalized principal ideal theorem with an application to Brill--Noether theory. Invent. Math. 132, 73--89 (1998) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves A generalized principal ideal theorem with an application to Brill-Noether 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 Brian Harbourne and Joaquim Roé, Linear systems with multiple base points in \Bbb P², Adv. Geom. 4 (2004), no. 1, 41 -- 59. Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Linear systems with multiple base points in \(\mathbb P^2\) | 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 nef divisor; divisor being in special position; pluricanonical maps; Kodaira dimension 0; adjunction mapping Igor Reider, ``Vector bundles of rank \(2\) and linear systems on algebraic surfaces'', Ann. Math.127 (1988) no. 2, p. 309-316 Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves Vector bundles of rank 2 and 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 Grassmannians, Schubert varieties, flag manifolds, Computational aspects of higher-dimensional varieties Plücker varieties and higher secants of Sato's 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 line arrangements; Waldschmidt constants; semi-effectivity; bounded negativity; Zariski decompositions; SHGH conjecture; algebraic surfaces; containment problem; resurgence B. Harbourne, Asymptotics of linear systems, with connections to line arrangements, arXiv.org/pdf/1705.09946.pdf. Divisors, linear systems, invertible sheaves, Configurations and arrangements of linear subspaces, Planar arrangements of lines and pseudolines (aspects of discrete geometry) Asymptotics of linear systems, with connections to line 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 rationality problem, linear group quotients, affine extensions of semi-simple groups Bogomolov F., Böhning Chr., Graf von Bothmer H.-Chr., Rationality of quotients by linear actions of affine groups, Sci. China Math. (in press), DOI: 10.1007/s11425-010-4127-z Rationality questions in algebraic geometry, Rational and unirational varieties, Geometric invariant theory Rationality of quotients by linear actions of affine 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 equisingularity; invariants [GM]Gaffney, T. \&Massey, D., Trends in equisingularity theory, inSingularity Theory (Liverpool, 1996), pp. 207--248. London Math. Soc. Lecture Note Ser., 263. Cambridge Univ. Press. Cambridge, 1999. Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), History of algebraic geometry, History of mathematics in the 20th century Trends in equisingularity 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 compact sets of capacity 1; potential theory \textsc{R. Rumely}, On Bilu's equidistribution theorem, In: Spectral Problems in Geometry and Arithmetic (Iowa City, IA, 1997), 159-166, Contemp. Math., 237, Amer. Math. Soc., Providence, RI, 1999. Heights, Arithmetic varieties and schemes; Arakelov theory; heights On Bilu's equidistribution 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 lattice polytopes; Laurent polynomial; integral convex polytope; Brion's equalities; toric variety Ishida, M.-N.: Polyhedral Laurent series and Brion's equalities. Int. J. Math.1, 251--265 (1990) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Toric varieties, Newton polyhedra, Okounkov bodies, Formal power series rings Polyhedral Laurent series and Brion's equalities | 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 reductive group; linearizability; affine morphism; fibration Kraft, H; Russell, P, Families of group actions, generic isotriviality, and linearization, Transform. Groups, 19, 779-792, (2014) Group actions on varieties or schemes (quotients), Complex Lie groups, group actions on complex spaces, Group actions on affine varieties Families of group actions, generic isotriviality, and linearization | 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 Chow varieties; equivariant algebraic suspension; quaternionic suspension; homotopy equivalence; algebraic cycles; invariant subvariety; quaternionic cycles Lawson, HB; Lima-Filho, PC; Michelsohn, M-L, On equivariant algebraic suspension, J. Algebraic Geom., 7, 627-650, (1998) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Suspensions, Algebraic cycles On equivariant algebraic suspension | 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 system of plane curves; Segre-Harbourne-Hirschowitz conjecture Seibert, J.: The dimension of quasihomogeneous planar linear systems with multiplicity four. Comm. algebra 29, No. 3, 1111-1130 (2001) Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Plane and space curves The dimension of quasihomogeneous planar linear systems with multiplicity 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 vector bundles; direct sum of line bundles; inductive system of projective varieties; ind-variety Vector bundles on surfaces and higher-dimensional varieties, and their moduli Inductive systems of vector bundles on projective 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 plane curve singularity; equisingular singularities; topologically equivalent singularities; blow up Local complex singularities, Singularities of curves, local rings, Equisingularity (topological and analytic) A short proof that equisingular plane curve singularities are topologically equivalent | 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 family; variation of mixed Hodge structure; infinitesimal period map S. Tsuboi: Cubic hyper-equisingular families of complex projective varieties, I, II. Proc. Japan Acad., 71A , 207-209; 210-212 (1995). Mixed Hodge theory of singular varieties (complex-analytic aspects), Equisingularity (topological and analytic), Variation of Hodge structures (algebro-geometric aspects) Cubic hyper-equisingular families of complex projective varieties. 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 symmetric invariant; centralizer; polynomial algebra; Slodowy grading Charbonnel, J-Y; Moreau, A, The symmetric invariants of centralizers and slodowy grading, Math. Zeitschrift, 282, n\(\circle\) 1-2, 273-339, (2016) Simple, semisimple, reductive (super)algebras, Coadjoint orbits; nilpotent varieties, Geometric invariant theory The symmetric invariants of centralizers and Slodowy grading | 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 varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Combinatorial identities, bijective combinatorics, Group actions on varieties or schemes (quotients) A cohomological interpretation of Brion's 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 Steenrod operations; Schubert calculus; flag manifolds; Schubert cells; Cartan numbers Duan, H B; Zhao, X Z, A unified formula for Steenrod operations in flag manifolds, Compos Math, 143, 257-270, (2007) Steenrod algebra, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Complete intersections A unified formula for Steenrod operations in flag manifolds | 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 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Parametrization (Chow and Hilbert schemes) Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes | 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 \(p\)-adic cohomology, crystalline cohomology, Varieties over finite and local fields A Clemens-Schmid type exact sequence over a local basis | 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 free divisors; uniformization equation; hyperelliptic integral; quasihomogeneous singularity Local deformation theory, Artin approximation, etc., Complex surface and hypersurface singularities, Deformations of complex singularities; vanishing cycles Systems of uniformization equations and hyperelliptic integrals | 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 Hodge locus; equidistribution; orthogonal modular variety; Noether-Lefschetz locus Variation of Hodge structures (algebro-geometric aspects), General ternary and quaternary quadratic forms; forms of more than two variables, Discontinuous groups and automorphic forms, Transcendental methods, Hodge theory (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Other complex differential geometry, Holomorphic symplectic varieties, hyper-Kähler varieties On the equidistribution of some Hodge loci | 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 Goulden-Jackson-Vakil formula; Hurwitz numbers; Hirota equation Shadrin, S., On the structure of goulden-Jackson-vakil formula, Math. Res. Lett., 16, 703-710, (2009) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry On the structure of Goulden-Jackson-Vakil 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 automorphism group; principle bundle; splitting Biswas, I.; Parameswaran, A. J.: Equivariant reduction to torus of a principal bundle. K-theory 31, 125-133 (2004) Equivariant fiber spaces and bundles in algebraic topology, Group actions on varieties or schemes (quotients) Equivariant reduction to torus of a principal 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 isolated singularity; Milnor number; equivariant singularity Local complex singularities, Complex surface and hypersurface singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Singularities in algebraic geometry On the Milnor number of an equivariant singularity | 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 integral closure; module; Whitney equisingularity Terence Gaffney, ``Integral closure of modules and Whitney equisingularity'', Invent. Math.107 (1992) no. 2, p. 301-322 Local complex singularities, Deformations of complex singularities; vanishing cycles, Singularities in algebraic geometry, Algebraic and analytic properties of mappings on manifolds Integral closure of modules and Whitney equisingularity | 0 |
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