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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 canonical singularities; birational classification; contraction theorem; terminal singularities; extremal ray; existence of flips J. Kollár and S. Mori,Birational Geometry of Algebraic Varieties, Cambridge Univ. Press, to appear. \(3\)-folds, Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps Birational classification of algebraic threefolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebroid varieties; transversality; resolution of singularities Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Transversality of varieties. A characterization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 points; entire curves; hyperbolicity; Weil functions; Schmidt subspace theorem; second main theorem Heier, G; Ru, M, Essentially large divisors and their arithmetic and function-theoretic inequalities, Asian J. Math., 16, 387-407, (2012) Varieties over global fields, Heights, Divisors, linear systems, invertible sheaves, Arithmetic varieties and schemes; Arakelov theory; heights, Schmidt Subspace Theorem and applications, Value distribution theory in higher dimensions Essentially large divisors and their arithmetic and function-theoretic inequalities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system approximation property; Henselian couple; Bass-Quillen conjecture; projective modules Teissier, B., \textit{Résultats récents sur l'approximation des morphismes en algèbre commutative (d'après André, Artin, Popescu, et spivakovsky)}, Séminaire Bourbaki, exposé n{\(\deg\)} 784, March 1994, 259-282, (1995), Société Mathématique de France, Paris Étale and flat extensions; Henselization; Artin approximation, Henselian rings, Projective and free modules and ideals in commutative rings, Morphisms of commutative rings, Local deformation theory, Artin approximation, etc., Regular local rings Recent results on the approximation of morphisms in commutative algebra (after André, Artin, Popescu and Spivakovsky) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Collections of abstracts of lectures, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry Mini-workshop: Linear series on algebraic varieties. Abstracts from the mini-workshop held October 3rd -- October 9th. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system complement of divisor with normal crossings; complex projective manifold; Einstein-Kähler metric; Chern classes Kobayashi, R., Kähler-Einstein metrics on an open algebraic manifold, Osaka J. Math., 21, 399-418, (1984) Complex manifolds, Global differential geometry of Hermitian and Kählerian manifolds, Divisors, linear systems, invertible sheaves Kähler-Einstein metric on an open algebraic manifold | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system crepant resolution; singularities; equivariant Hilbert scheme Global theory and resolution of singularities (algebro-geometric aspects), Geometric invariant theory, Local deformation theory, Artin approximation, etc. Resolution of non-abelian three-dimensional 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 singularity; toric variety S. Ishii, ''Arcs, valuations and the Nash map,'' J. Reine Angew. Math., vol. 588, pp. 71-92, 2005. Singularities in algebraic geometry, Valuations and their generalizations for commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves Arcs, valuations and the Nash map | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system elementary transformation; elliptic soliton; Hitchin system; residue section; ruled surface; tangential cover Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Rational and ruled surfaces, Sheaves and cohomology of sections of holomorphic vector bundles, general results Tangency and a ruled surface associated with a Hitchin system | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hyperplane sections of surfaces; linear series; adjunction map Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Complete intersections, Special surfaces Curves and \(0\)-cycles on 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 projective hypersurfaces; intersection number; foci; geometric genus Plane and space curves, Hypersurfaces and algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Coverings of curves, fundamental group A remark on the intersection 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 resolution of singularities; valuation; ramification; affine geometry History of algebraic geometry, Biographies, obituaries, personalia, bibliographies, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Coverings in algebraic geometry, Jacobian problem The mathematical life of Shreeram Abhyankar | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system fibrations; birational maps; Iitaka fibration; divisors; linear systems; Albanese variety; irregular algebraic varieties J.\ A. Chen and C.\ D. Hacon, On the irregularity of the image of the Iitaka fibration, Comm. Algebra 32 (2004), 203-215. Divisors, linear systems, invertible sheaves, Subvarieties of abelian varieties, Fibrations, degenerations in algebraic geometry, Rational and birational maps, Algebraic theory of abelian varieties On the irregularity of the image of the Iitaka fibration | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; zeta functions; poles Rodrigues, B., Veys, W.: Poles of zeta functions on normal surfaces. Proc. London Math. Soc. 87, 164--196 (2003) Singularities in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Poles of zeta functions 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 real divisor; Nakai-Moishezon criterion for ampleness of divisors [2] Frédéric Campana &aThomas Peternell, &Algebraicity of the ample cone of projective varieties&#xJ. Reine Angew. Math.407 (1990), p.~160-MR~10 | &Zbl~0728. Divisors, linear systems, invertible sheaves, Real algebraic sets, Picard groups Algebraicity of the ample cone 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 Li, Q, Pseudo-effective and nef cones on spherical varieties, Math. Z., 280, 945-979, (2015) Compactifications; symmetric and spherical varieties, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) Pseudo-effective and nef cones on spherical 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 \(K3\) surface; cotangent bundle; positivity; cones of divisors \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Holomorphic symplectic varieties, hyper-Kähler varieties Remarks on the positivity of the cotangent bundle of a \(K3\) 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 adjoint linear system; Fujita's conjecture; positive characteristic Divisors, linear systems, invertible sheaves, Rational and birational maps Counterexamples to Fujita's conjecture on surfaces 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 Newton-Okounkov bodies; algebraic surfaces; toric geometry Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Picard groups, Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry) On the number of vertices of Newton-Okounkov polygons | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system automorphisms of algebraic curve; linear systems González, V.; Rodríguez, R.: On automorphisms of curves and linear series, Aportaciones mat. Notas investigación 5, 101-105 (1992) Automorphisms of curves, Curves in algebraic geometry, Divisors, linear systems, invertible sheaves On automorphisms of curves and linear series | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; uniformization; desingularization; non-algebraically closed field V. Cossart, Uniformisation et désingularisation des surfaces d'apr` es Zariski, in Res- olution of singularities (Obergurgl, 1997), 239-258, Progr. Math., 181, Birkhäuser, Basel. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Other nonalgebraically closed ground fields in algebraic geometry Uniformization and desingularization of surfaces after 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 singularity; analytic map-germ; deformation of singularity Fernandes, A., Soares Jr., C. H.: On the bi-Lipschitz triviality of families of real maps. In: Real and Complex Singularities. Contemp. Math., vol. 354, pp. 95--103. Amer. Math. Soc., Providence (2004) Real algebraic and real-analytic geometry, Singularities in algebraic geometry, Equisingularity (topological and analytic) On the bilipschitz triviality of families of real maps | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Decker, W., Greuel, G.-M., Pfister, G., Schönemann, H.: \textsc{Singular} 3-1-6--A Computer Algebra System for Polynomial Computations. http://www.singular.uni-kl.de (2012) Global theory and resolution of singularities (algebro-geometric aspects), General commutative ring theory, Rational and birational maps A simple algorithm for principalization of monomial ideals | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system etale Galois coverings; normalization; cohomology; Artin-Schreier coverings; Gorenstein scheme; minimal resolution of singularities Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies Etale Galois coverings of degree \(p\) of the affine 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 invertible sheaves; bundles; cohomology group; moduli stack; Picard group Picard groups, Divisors, linear systems, invertible sheaves Invertible sheaves on the moduli space of \(SL(2)\)-bundles with connections on \(\mathbb{P}^1\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system fat point schemes; regularity Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Configurations and arrangements of linear subspaces, Syzygies, resolutions, complexes and commutative rings, Combinatorial aspects of matroids and geometric lattices Segre's regularity bound for fat point 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; embedding theorem; Cohen-Macaulay curves; pluricanonical maps of surfaces of general type Kollár, J.: Moduli of varieties of general type. In: Farkas, G., Morrison, I. (eds.) Handbook of Moduli: Volume II. Advanced Lectures in Mathematics, vol.~24, pp. 131-158. International Press (2012). arXiv:1008.0621 Embeddings in algebraic geometry, Surfaces of general type, Divisors, linear systems, invertible sheaves Embeddings of curves and 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 polynomial ring; valuations Valuations and their generalizations for commutative rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Semigroup rings, multiplicative semigroups of rings Generating sequences and semigroups of valuations on 2-dimensional normal local rings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system wave front set; distribution; Fourier transform; local field; desingularization 2 A. Aizenbud and V. Drinfeld, 'The wave front set of the fourier transform of algebraic measures', \textit{Israel J. Math.}207 (2015) 527-580 (English). Local ground fields in algebraic geometry, Measures on groups and semigroups, etc., Global theory and resolution of singularities (algebro-geometric aspects), Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups The wave front set of the Fourier transform of algebraic measures | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Nagata conjecture; SHGH conjecture; Seshadri constants; monomial valuations; rational surfaces Dumnicki, Marcin; Harbourne, Brian; Küronya, Alex; Roé, Joaquim; Szemberg, Tomasz, Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata type conjecture, Comm. Anal. Geom., 25, 1, 125-161, (2017) Divisors, linear systems, invertible sheaves, Valuations and their generalizations for commutative rings, Rational and ruled surfaces Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata-type 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 canonical system; canonical map; dimension; genus; Castelnuovo varieties; Castelnuovo 3-folds \(3\)-folds, \(n\)-folds (\(n>4\)), Divisors, linear systems, invertible sheaves 3-folds of general type with \(K^3= 4p_g-14\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; resolution; graph; transversality; singular datum; Rees algebra Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Polynomials in real and complex fields: location of zeros (algebraic theorems), Directed graphs (digraphs), tournaments A game for the resolution of 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 symbolic powers; divisor class group; normal toric ring; flat extensions Walker, R. M., Uniform harbourne-huneke bounds via flat extensions Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies Uniform Harbourne-Huneke bounds via flat extensions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system contraction of an extremal ray; Fano manifold Wiśniewski, JA, On contractions of extremal rays of Fano manifolds, J. Reine Angew. Math., 417, 141-157, (1991) Fano varieties, Divisors, linear systems, invertible sheaves On contractions of extremal rays of Fano 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 Bott-Samelson variety; Mori dream space; linear series; Okounkov body Schmitz, D.; Seppänen, H., Global Okounkov bodies for Bott-Samelson varieties, J. Algebra, 490, 518-554, (2017) Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) Global Okounkov bodies for Bott-Samelson 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 Seshadri constants; local positivity; algebraic surfaces Szemberg, T, An effective and sharp lower bound on Seshadri constants on surfaces with Picard number 1, J. Algebra, 319, 3112-3119, (2008) Divisors, linear systems, invertible sheaves, Special surfaces An effective and sharp lower bound on Seshadri constants on surfaces with Picard number 1 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Jacobian of a hyperplane section of a surface; endomorphisms of abelian varieties; Albanese variety; linear system Ciliberto, C., van~der Geer, G.: On the Jacobian of a hyperplane section of a surface. In: Classification of Irregular Varieties (Trento, 1990). Lecture Notes in Mathematics, vol. 1515, pp. 33-40, Springer, Berlin (1992) Jacobians, Prym varieties, Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves On the Jacobian of a hyperplane section of a 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 Hilbert curve; scroll; vector bundle (properly semistable); \(\mathbb{Q}\)-polarized surface Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Adjunction problems A property of Hilbert curves of scrolls over 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 Ito, A.: Seshadri constants via toric degenerations. J. Reine Angew. Math. 10.1515/crelle-2012-0116 (2012, to appear) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies Seshadri constants via 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 exceptional fiber; blowing-up of an equimultiple family of punctual ideals; multiplicities Henaut A., Ann. Inst. Fourier Grenoble 37 pp 143-- (1987) Global theory and resolution of singularities (algebro-geometric aspects), Algebraic cycles, Local complex singularities, Singularities in algebraic geometry Cycle exceptionnel de l'éclatement d'un idéal définissant l'origine de \({\mathbb C}^ n\) et applications. (Exceptional cycle of the blowing-up of an ideal defining the origin of \({\mathbb C}^ n\) and applications) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system birational geometry; nilpotent orbit of a complex Lie algebra; Poisson deformation Global theory and resolution of singularities (algebro-geometric aspects), Coadjoint orbits; nilpotent varieties Birational geometry for the covering of a nilpotent orbit closure. 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 Chern class; affine three-folds; projective module over a smooth affine ring Projective and free modules and ideals in commutative rings, Divisors, linear systems, invertible sheaves, Characteristic classes and numbers in differential topology, Algebraic cycles Algebraic cycles and vector bundles over affine 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 Divisors, linear systems, invertible sheaves, (Equivariant) Chow groups and rings; motives, Elliptic curves over local fields, Abelian varieties of dimension \(> 1\), Elliptic curves, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Polylogarithms and relations with \(K\)-theory Zero cycles on a product of elliptic curves over a \(p\)-adic field | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; Koszul cohomology groups; syzygy; second-order deformation Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings, Curves in algebraic geometry Deformation of syzygies and 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 points in \(\mathbb{P}^ 4\); minimal free resolution Walter, C., The minimal free resolution of the homogeneous ideal of \textit{s} general points in \(\mathbb{P}^4\), Math. Z., 219, 2, 231-234, (1995) Projective techniques in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) The minimal free resolution of the homogeneous ideal of \(s\) general points in \(\mathbb{P}^ 4\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 variety; projective variety Smith, K.-E.; Kahanpää, L.; Kekäläinen, P.; Traves, W., An invitation to algebraic geometry, (2000), Springer-Verlag New York Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Foundations of algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Affine geometry, Real algebraic and real-analytic geometry An invitation to algebraic 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 schemes and morphisms; divisorial schemes; ample sheaves; graded rings; formal schemes; group actions; geometric invariant theory; ampleness criteria; algebraization Brenner, H.; Schröer, S.: Ample families, multihomogeneous spectra, and algebraization of formal schemes. Pacific J. Math. (2001) Schemes and morphisms, Divisors, linear systems, invertible sheaves, Geometric invariant theory, Formal methods and deformations in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies Ample families, multihomogeneous spectra, and algebraization of formal 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 asymptotic invariants of divisors; volume of divisors; Weil \(T\)-divisors Hering, M.; Küronya, A.; Payne, S., Asymptotic cohomological functions of toric divisors, Adv. Math., 207, 2, 634-645, (2006) Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Local cohomology and commutative rings Asymptotic cohomological functions of toric 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 resolution; singularities; desingularization; algorithm Frühbis-Krüger, Anne: An application of resolution of singularities: computing the topological \({\zeta}\)-function of isolated surface singularities in (C3,0), Singularity theory (2007) Computational aspects in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) An application of resolution of singularities: computing the topological \(\zeta\)-function of isolated surface singularities in \((\mathbb C^3,0)\) | 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 complete intersection; periodicity of minimal free resolution; regular local ring; matrix factorization D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980), no. 1, 35-64. Homological methods in commutative ring theory, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Complete intersections, Regular local rings Homological algebra of a complete intersection, with an application to group representations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Calabi-Yau fiber space; Morrison conjecture; cone of divisors; marked minimal models DeWolfe, O., Giryavets, A., Kachru, S., Taylor, W.: Enumerating flux vacua with enhanced symmetries. JHEP \textbf{0502}, 037 (2005). hep-th:0411061 Calabi-Yau manifolds (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves On the cone of divisors of Calabi-Yau 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 derived category; non-commutative crepant resolution; flop; tilting bundle Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Noncommutative algebraic geometry On the Abuaf-Ueda flop via non-commutative crepant resolutions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system homology plane; tidy divisor; Cremona transformations [tDP] T. tom Dieck, T. Petrie. Homology planes: An announcement and survey. In:Topological methods in algebraic transformation groups, Progress in Mathem. 80,Birkhäuser, Boston e.a., 1989, 27--48 Special surfaces, Birational automorphisms, Cremona group and generalizations, Topological properties in algebraic geometry, Divisors, linear systems, invertible sheaves Homology planes: an announcement and survey | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Frobenius splittings; residual normal crossing; Wahl's conjecture; characteristic \(p\); homogeneous space; Wahl conjecture; surjectivity of the Gaussian map V. Lakshmibai, V. B. Mehta, A. J. Parameswaran, Frobenius splittings and blow-ups, J. Algebra 208 (1998), no. 1, 10128. Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Formal methods and deformations in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds Frobenius splittings and blow-ups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system monomial curves; blowup algebras; smoothness Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Regular local rings, Curves in algebraic geometry On the smoothness of blowups for certain monomial 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 10.14231/AG-2016-010 Embeddings in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves A quick proof of nonvanishing for asymptotic syzygies | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system A. Broustet, Non-annulation effective et positivité locale des fibrés en droites amples adjoints, Math. Ann. 343 (2009), no. 4, 727--755. Divisors, linear systems, invertible sheaves, Rational and birational maps, Minimal model program (Mori theory, extremal rays), \(3\)-folds, \(n\)-folds (\(n>4\)), Fano varieties Effective non-vanishing and local positivity of adjoint ample 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 resolution of singularities; toroidal variety; polyhedral Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Simplicial sets and complexes in algebraic topology Extending triangulations and semistable reduction. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system curves equisingularity; space curves; Lagrangian curve; desingularization Neto ( O. ) .- Equisingularity and Legendrian curves , Bull. London Math. Soc. 33, p. 527 - 534 ( 2001 ). MR 1844549 | Zbl 1032.58028 Topological invariants on manifolds, Singularities in algebraic geometry, Equisingularity (topological and analytic) Equisingularity and Lagrangean 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 singularities; rational pairs; divisors Divisors, linear systems, invertible sheaves On rationalizing 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 étale cohomology; constructible sheaf; stratification; tameness; cohomological descent; alteration; ultraproduct Étale and other Grothendieck topologies and (co)homologies, Ramification problems in algebraic geometry, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Ultraproducts (number-theoretic aspects), Algebraic moduli problems, moduli of vector bundles Uniform constructability and tameness in étale 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 special divisors Jacobians, Prym varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Grassmannians, Schubert varieties, flag manifolds An introduction to the theory of special divisors 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 reducible algebraic curves; Clifford index; Green's conjecture Singularities of curves, local rings, Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory) Clifford index for reduced 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 Equisingularity (topological and analytic), Singularities in algebraic geometry, Singularities of curves, local rings, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry Algebro-geometric equisingularity 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 K3 surface; ample divisor \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory K3 surfaces containing an ample divisor of virtual genus 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 localization; graduate rings; flat modules; primary decomposition; ring extensions; valuations; completion; commutative algebra N. Bourbaki, \textit{Commutative Algebra}, Chapters 1-7, Elements of Mathematics (Berlin) (Springer-Verlag, Berlin, 1998); Translated from the French; Reprint of the 1989 English translation. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Theory of modules and ideals in commutative rings, Research exposition (monographs, survey articles) pertaining to commutative algebra, Collected or selected works; reprintings or translations of classics, Topological rings and modules, Ideals and multiplicative ideal theory in commutative rings, Valuations and their generalizations for commutative rings, Divisors, linear systems, invertible sheaves Elements of mathematics. Commutative algebra. Chapters 1--7. Transl. from the French. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge Research exposition (monographs, survey articles) pertaining to algebraic geometry, Divisors, linear systems, invertible sheaves, Group actions on varieties or schemes (quotients), Toric varieties, Newton polyhedra, Okounkov bodies Cox rings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system curve; genus; symmetric product; Néron-Severi group; slope of a divisor Kouvidakis, A.: Divisors on symmetric products of curves. Trans. Am. Math. Soc. 337, 117--128 (1993) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves Divisors on symmetric products of 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 Seshadri constant; ample line bundle; abelian surface; elliptic curve Bauer, T; Schulz, C, Seshadri constants on the self-product of an elliptic curve, J. Algebra., 320, 2981-3005, (2008) Elliptic curves, Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties, Abelian varieties and schemes Seshadri constants on the self-product of an elliptic 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 deformation; Dolgachev numbers; Gabrielov numbers; strange duality; exceptional unimodular hypersurface singularities; Kodaira singularites; resolution graphs; Dynkin diagrams; Milnor lattices Ebeling W., Wall C.T.C.: Kodaira singularities and an extension of Arnold's strange duality. Compositio Math. 56, 3--77 (1985) Singularities of surfaces or higher-dimensional varieties, Deformations of singularities, Complex singularities, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local complex singularities Kodaira singularities and an extension of Arnold's strange duality | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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, Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Notes on divisors computing MLD's and LCT's | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system intersections; embedded resolution; multiplicity; Pic Embeddings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Picard groups Relations between numerical data of an embedded resolution | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system singular space curves; adjoint ideals; effective divisor; normalization; linear system Chiarli, N.: Completeness and non-speciality of linear series on space curves and deficiency of the corresponding linear series on normalization. Queen's papers in pure and applied mathematics 67 (1984) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus Completeness and non-speciality of linear series on space curves and deficiency of the corresponding linear series on normalization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polarized surfaces; ample line bundles; spannedness; very ampleness; branched coverings [LP] Lanteri, A., Palleschi, M.: Adjuntion properties of polarized surfaces via Reider's method. Math. Scand.65, 175-188 (1989) Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory Adjunction properties of polarized surfaces via Reider's method | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system flips; moduli theory of vector bundles; conformal quantum field theories; dimension formula; Verlinde formula; theta functions; Verlinde space M. Thaddeus, Stable pairs, linear systems and the Verlinde formula, Invent. Math. 117 (1994), 317-353. Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Classical real and complex (co)homology in algebraic geometry, Deformations of fiber bundles Stable pairs, linear systems and the Verlinde 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 equisingularity; topological type Alberich-Carramiñana, M., An algorithm for computing the singularity of the generic germ of a pencil of plane curves, Commun. Algebra, 32, 1637-1646, (2004) Singularities in algebraic geometry, Equisingularity (topological and analytic) An algorithm for computing the singularity of the generic Germ of a pencil 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 bigraded rings; bigraded modules; complete intersection; Hilbert function; minimal free resolution; scheme-theoretic complete intersection Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Scheme-theoretic complete intersections in \(\mathbb P^1 \times\mathbb P^1\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system order-sequence of integral curve; Weierstrass point DOI: 10.1007/BF02584813 Riemann surfaces; Weierstrass points; gap sequences, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Linear systems on curves with no Weierstrass 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 nonrationality of three-dimensional quartics; connectedness theorem \(3\)-folds, Rational and unirational varieties, Divisors, linear systems, invertible sheaves Simple proof of the nonrationality of three-dimensional quartics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system reflexive sheaves; (semi)stability Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Complete intersections Lazarsfeld-Mukai reflexive sheaves and their 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 adjunction theory; special varieties; non-degenerate quadratic singularities Beltrametti, M.C., Lanteri, A., Sommese, A.J.: Adjunction and singular loci of hyperplane sections. J. Math. Soc. Jpn. (2014) Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties, \(n\)-folds (\(n>4\)), Adjunction problems Adjunction and singular loci of hyperplane sections. 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 curve on a \(K3\) surface; curves of high genus; Brill-Noether-Petri condition; linear series; surjectivity of the Wahl map Voisin, C. : '' Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri '', Acta Math. 168 (1992) 249-272. Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Curves in algebraic geometry On the Wahl map of curves with Brill-Noether-Petri condition | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system motivic integration; rationality of the Poincaré series; \(p\)-adic points; quantifier elimination; semi-algebraic sets J. Denef and F. Loeser, \textit{Germs of arcs in singular algebraic varieties and motivic integration}, \textit{Invent. Math.}\textbf{135} (1999) 201 [math/9803039]. Arcs and motivic integration, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Semialgebraic sets and related spaces, Quantifier elimination, model completeness, and related topics, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Motivic cohomology; motivic homotopy theory Germs of arcs on singular algebraic varieties and motivic integration | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Deligne-Mumford moduli space; holomorphic Euler characteristics; line bundles Lee, Y-P, A formula for Euler characteristics of tautological line bundles on the Deligne-Mumford moduli spaces, IMRN, 8, 393-400, (1997) Families, moduli of curves (algebraic), Topological properties in algebraic geometry, Divisors, linear systems, invertible sheaves, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli A formula for Euler characteristics of tautological line bundles on the Deligne-Mumford moduli 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 Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Pseudogroups and differentiable groupoids, Logarithmic algebraic geometry, log schemes Log Picard algebroids and meromorphic line bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hwang, J.; Keum, J., Seshadri-exceptional foliations, Mathematische Annalen, 2, 287-297, (2003) Divisors, linear systems, invertible sheaves Seshadri-exceptional foliations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Picard groups, Local cohomology and algebraic geometry Vanishing theorems and Picard 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 Kleinian singularity; McKay correspondence; minimal resolution; Hilbert scheme Dlab, V.: Representations of valued graphs. In: Séminaire de Mathématiques Supérieures [Seminar on Higher Mathematics], vol. 73. Presses de l'Université de Montréal, Montreal, Que (1980) Singularities in algebraic geometry, Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Complex surface and hypersurface singularities, Modifications; resolution of singularities (complex-analytic aspects) On the exceptional fibres of Kleinian 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 Goppa codes; divisors of curves; Riemann-Roch theorem; linear codes Michon, J. F.: Codes de goppa. Sem. th. Nombres Bordeaux 7 (1983--1984) Linear codes (general theory), Algebraic functions and function fields in algebraic geometry, Divisors, linear systems, invertible sheaves Codes de Goppa | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Syzygies, resolutions, complexes and commutative rings, Rational and ruled surfaces Erratum to: Classifying Hilbert functions of fat point subschemes 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 Stable bundle; Numerically effectiveness; Monodromy; Riemann surface; Chern class Biswas, I.; Parameswaran, A. J.; Subramanian, S.: Numerically effective line bundles associated to a stable bundle over a curve. Bull. sci. Math 128, 23-29 (2004) Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Group actions on varieties or schemes (quotients) Numerically effective line bundles associated to a stable bundle over a 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 minimal embedded resolution; \(E_ 6\); \(E_ 7\); Jordan-Cartan-Dickson cubic; total inverse transform Global theory and resolution of singularities (algebro-geometric aspects), Other algebraic groups (geometric aspects), Representation theory for linear algebraic groups, Singularities in algebraic geometry, Semisimple Lie groups and their representations The singularities of some invariant hypersurfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system extension of pluricanonical form; divisor Y. Kawamata, ''On the extension problem of pluricanonical forms,'' in Algebraic Geometry: Hirzebruch 70, Providence, RI: Amer. Math. Soc., 1999, vol. 241, pp. 193-207. Rational and birational maps, Divisors, linear systems, invertible sheaves On the extension problem of pluricanonical forms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Computational aspects of higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Symbolic computation and algebraic computation Effective construction of an algebraic variety nonsingular in codimension one over a ground field of zero 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 Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings On Koszul rings, syzygies, and 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 Riemann surfaces; Weierstrass points; gap sequences, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Weierstrass points of line bundles and linear systems on unreduced 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 local moduli problem; moduli space of the equisingularity class; deformation theory Zariski O.: Le problème des modules pour les courbes planes. Hermann, Paris (1986) Global theory and resolution of singularities (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Singularities in algebraic geometry, Power series rings Le problème des modules pour les branches planes. Cours donné au Centre de Mathématiques de l'École Polytechnique. Nouvelle éd. revue par l'auteur. Rédigé par François Kmety et Michel Merle. Avec un appendice de Bernard Teissier | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system asymptotic Hilbert function; Chudnovsky conjecture; containment problem; symbolic powers; Waldschmidt constants Configurations and arrangements of linear subspaces, Polynomial rings and ideals; rings of integer-valued polynomials, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Divisors, linear systems, invertible sheaves Lower bounds for Waldschmidt constants of generic lines in \({\mathbb {P}}^3\) and a Chudnovsky-type 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 Seshadri constants; point configurations; projective plane Divisors, linear systems, invertible sheaves, Configurations and arrangements of linear subspaces, Planar arrangements of lines and pseudolines (aspects of discrete geometry), Secant varieties, tensor rank, varieties of sums of powers Seshadri constants and special configurations of points in the projective plane | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system base loci; algebraic cycles; positivity of cycles Algebraic cycles, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) Augmented and restricted base loci of cycles | 0 |
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