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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 Hilbert functions; graded Betti numbers; fat points; splitting types Gimigliano, Stable postulation and stable ideal generation: conjectures for fat points in the plane, Bull. Belg. Math. Soc. Simon Stevin 16 (5) pp 853-- (2009) Divisors, linear systems, invertible sheaves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Stable postulation and stable ideal generation: conjectures for fat points in the 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 linearly general position; strong Castelnuovo lemma; zero-dimensional schemes Cavaliere, M. P.; Rossi, M. E.; Valla, G.: The strong Castelnuovo lemma for zerodimensional schemes. (1994) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Schemes and morphisms, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series The strong Castelnuovo lemma for zerodimensional 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 adjunction process; line bundle; \(\Delta\)-genus; sectional genus; quasi- polarized varieties T. Fujita: On quasi-polarized varieties (in preparation). Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory Notes on quasi-polarized 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 equisingularity; non-reduced curve; complete ideal; algebroid plane curve Nobile, A.: Equisingularity theory for plane curves with embedded points. Pacific J. Math. 170, 543-566 (1995) Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings Equisingularity theory for plane curves with embedded 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 García, LF, Projective normality of abelian surfaces of type \((1,2d)\), Manuscr. Math., 114, 385-390, (2004) Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, Special surfaces, Adjunction problems Projective normality of abelian surfaces of type \((1,2d)\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Schmidt's subspace theorem; Diophantine approximation; hyperbolicity; integral points; entire curves Varieties over global fields, Heights, Schmidt Subspace Theorem and applications, Divisors, linear systems, invertible sheaves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Value distribution theory in higher dimensions, Hyperbolic and Kobayashi hyperbolic manifolds On the degeneracy of integral points and entire curves in the complement of nef effective 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 very ampleness of line bundles; Kähler manifolds; sectional curvature; Kodaira embedding theorem S.-K. Yeung, Very ampleness of line bundles and canonical embedding of coverings of manifolds, Compos. Math. 123 (2000), no. 2, 209-223. Divisors, linear systems, invertible sheaves, Compact Kähler manifolds: generalizations, classification, Negative curvature complex manifolds, Embeddings in algebraic geometry, Embedding theorems for complex manifolds, Global differential geometry of Hermitian and Kählerian manifolds Very ampleness of line bundles and canonical embedding of coverings of 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 dimensions of linear systems; line bundle; Riemann-Roch problem; effective divisor S. D. Cutkosky and V. Srinivas, On a problem of Zariski on dimensions of linear systems , Ann. of Math. (2) 137 (1993), 531-559. JSTOR: Divisors, linear systems, invertible sheaves, Riemann-Roch theorems On a problem of Zariski on dimensions of linear systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Euler sequence; graded algebra; graded linear series; derivation Derivations and commutative rings, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves A cohomological interpretation of derivations on graded 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 integral divisors; category of rational maps; generalized albanese pair; abelian fundamental group Hurşit Önsiper, On generalized Albanese varieties for surfaces, Math. Proc. Cambridge Philos. Soc. 104 (1988), no. 1, 1 -- 6. Surfaces and higher-dimensional varieties, Divisors, linear systems, invertible sheaves, Abelian varieties and schemes On generalized Albanese varieties for 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 Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Binomial coefficients; factorials; \(q\)-identities, Sheaves in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry On Okounkov's conjecture connecting Hilbert schemes of points and multiple \(q\)-zeta values | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Krull valuation; noetherian local ring; rational valuation; semigroups; rationally finitely generated semigroup; residual extension; birational extension Cutkosky, Steven Dale; Teissier, Bernard, Semigroups of valuations on local rings, Michigan Math. J., 57, 173-193, (2008) Valuations and their generalizations for commutative rings, Global theory and resolution of singularities (algebro-geometric aspects), Graded rings and modules (associative rings and algebras), Ordered semigroups and monoids Semigroups of valuations on 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 Waring problem; secant varieties Ottaviani, G., An invariant regarding waring\(###\)s problem for cubic polynomials, Nagoya Math. J., 193, 95-110, (2009) Projective techniques in algebraic geometry, Classical groups (algebro-geometric aspects), Determinantal varieties, Divisors, linear systems, invertible sheaves An invariant regarding Waring's problem for cubic polynomials | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies Notes on local positivity and Newton-Okounkov bodies | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system arithmetically Cohen-Macaulay; configuration of lines; multiprojective spaces Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Configurations and arrangements of linear subspaces, Cohen-Macaulay modules Special arrangements of lines: codimension 2 ACM varieties in \(\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1\) | 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 Geometric invariant theory, Group actions on varieties or schemes (quotients), Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Actions of groups on commutative rings; invariant theory Syzygies of some GIT quotients | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; rational elliptic surfaces M. Artebani, A. Garbagnati, A. Laface: Cox rings of extremal rational elliptic surfaces. To appear in Transactions of the AMS. Preprint, arXiv:1302.4361. Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Cox rings of extremal rational elliptic 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 \(k\)-very ampleness; blow-up of the plane De Volder, Cindy; Tutaj-Gasińska, Halszka, Higher order embeddings of certain blow-ups of \(\mathbb{P}^2\), Proc. am. math. soc., 137, 12, 4089-4097, (2009) Divisors, linear systems, invertible sheaves Higher order embeddings of certain blow-ups of \(\mathbb {P}^2\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Seshadri constants; symplectic packing Divisors, linear systems, invertible sheaves, Symplectic manifolds (general theory) A short note on Seshadri constants and packing constants | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Bibliography; adjunction theory; threefolds; ampleness; Hilbert schemes; Mori's theory; Kawamata's rationality theorem; adjoint bundles; double point formula for threefolds; Chern inequalities M. C. Beltrametti, A. J. Sommese, \textit{The adjunction theory of complex projective varieties}, volume 16 of \textit{de Gruyter Expositions in Mathematics}. De Gruyter 1995. MR1318687 Zbl 0845.14003 Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Research exposition (monographs, survey articles) pertaining to algebraic geometry The adjunction theory of complex 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 non-Archimedean geometry; Monge-Ampère equation; volumes of line bundles Non-Archimedean analysis, Divisors, linear systems, invertible sheaves, Rigid analytic geometry, Plurisubharmonic functions and generalizations, Complex Monge-Ampère operators Differentiability of non-Archimedean volumes and non-Archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system flatness; completion; smooth morphisms; regular morphisms Khalid, A.; Kosar, Z., An easy proof of the general neron desingularization in dimension 1, \textit{Bull. Math. Soc. Sci. Math. Roumanie}, 59, 107, 349-353, (2016) Étale and flat extensions; Henselization; Artin approximation, Local structure of morphisms in algebraic geometry: étale, flat, etc., Regular local rings, Henselian rings An easy proof of the General Néron Desingularization in dimension \(\leq 1\) | 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 killing cycles; lifting of vector bundles; syzygy theory; depth; maximal Cohen-Macaulay modules; syzygy theorem; factoriality of regular local rings; small multiplicities; local cohomology Evans, E. G.; Griffith, P.: Syzygies, London math. Soc. lecture note ser. 106 (1985) Syzygies, resolutions, complexes and commutative rings, Sheaves in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), Local cohomology and algebraic geometry, Regular local rings 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 \(cDV\) singularity; Gorenstein threefold singularity; small resolution; versal deformation spaces Katz, S.: Small resolutions of Gorenstein threefold singularities. Algebraic geometry: Sundance 1988, pp. 61-70, Contemp. Math., vol. 116, Am. Math. Soc., Providence, RI (1991) Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Formal methods and deformations in algebraic geometry, Deformations of singularities, Singularities in algebraic geometry Small resolutions of Gorenstein threefold 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 Lipschitz equisingularity Koike, S.: The Briancon--Speder and Oka families are not bilipschits trivial, in several topics in singularity theory, Kyoto University research information repository, vol. 1328, pp. 165--173 (2003). http://www.kurims.kyoto-u.ac.jp/\(\sim\)kyodo/kokyuroku/2003.html Critical points of functions and mappings on manifolds, Singularities in algebraic geometry, Equisingularity (topological and analytic) The Briançon-Speder and Oka families are not biLipschits trivial | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; principally polarized abelian varieties; PPAV; Prym-Tjurin presentation; Prym varieties Welters G.: Curves of twice the minimal class on principally polarized abelian varieties. Indag. Math. 94, 87--109 (1987) Algebraic moduli of abelian varieties, classification, Families, moduli of curves (algebraic), Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties, Jacobians, Prym varieties Curves of twice the minimal class on principally polarized 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 abelian varieties; construction of singular divisors; Koszul rings; Newton-Okounkov bodies; syzygies of line bundles Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Bundle convexity, Convex sets in \(2\) dimensions (including convex curves), Syzygies, resolutions, complexes and commutative rings A Reider-type theorem for higher syzygies on abelian 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 desingularization of algebroid curves; dual graph Castellanos, J.: The dual graph for space curves. Lecture notes in mathematics 1462, 73-81 (1991) Plane and space curves, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings The dual graph for space 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; Riemann-Kempf singularity theorem; non-hyperelliptic curve; linear equivalence classes of positive divisors; index of speciality Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry A note on the Riemann-Kempf theorem for curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system minimal model; extremal contraction; nef value; ample line bundle; terminal varieties; adjunction theory Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Adjunction theory on terminal 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 \(\Delta\)-genus; polarized by a very ample line bundle; linear system; classification; adjunction theory Fania M.L., Degree ten manifolds of dimension \(3\)-folds, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) Degree ten manifolds of dimension \(n\) greater than or equal to 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 ring; curves; surfaces of general type Franciosi, M, On the canonical ring of curves and surfaces, Manuscr. Math., 140, 573-596, (2013) Special algebraic curves and curves of low genus, Surfaces of general type, Divisors, linear systems, invertible sheaves On the canonical ring 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 general position; number of singular points; generic configuration of m points Alexander, J, Singularités imposables en position générale aux hypersurfaces de \(###\)\^{}\{n\}, Compos. Math., 68, 305-354, (1988) Enumerative problems (combinatorial problems) in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Projective techniques in algebraic geometry Singularités imposables en position générale à une hypersurface projective. (Singularities imposable in general position on a projective 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 Nash blowings up; binomial varieties; desingularization; a priori bound; multidimensional Euclidean algorithm; polynomial complexity Grigoriev, D.; Milman, P., Nash desingularization for binomial varieties as Euclidean division, a priori termination bound, polynomial complexity in dim 2, \textit{Adv. Math.}, 231, 6, 3389-3428, (2012) Global theory and resolution of singularities (algebro-geometric aspects), Combinatorial complexity of geometric structures, Toric varieties, Newton polyhedra, Okounkov bodies, Analysis of algorithms and problem complexity Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 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 sectional genus; numerically effective canonical divisor; threefold with non-negative Kodaira dimension; very ample linear system Divisors, linear systems, invertible sheaves, \(3\)-folds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Some results about a smooth hyperplane section of a 3-fold of non negative Kodaira 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 general presentation; representation of algebra; canonical decomposition; quiver with potential; cluster complex Derksen, H.; Fei, J., General presentations of algebras, Adv. Math., 278, 210-237, (2015) Representations of associative Artinian rings, Syzygies, resolutions, complexes in associative algebras, Global theory and resolution of singularities (algebro-geometric aspects), Simplicial sets and complexes in algebraic topology General presentations of 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 Kodaira energy; nef bundle; big line bundle; Kodaira-Iitaka dimension; spectrum conjecture Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves On relative Kodaira energy of quasi-polarized fibre spaces and its application | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system minimal variety; birational mapping; canonical divisor DOI: 10.1080/00927879508825475 Divisors, linear systems, invertible sheaves, Rational and birational maps, Special surfaces An inequality with regard to the canonical birationality for 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 classification of complex projective smooth surface with an ample; line bundle; Chern classes of the Tschirnhaus bundle Families, moduli, classification: algebraic theory, Moduli, classification: analytic theory; relations with modular forms, Divisors, linear systems, invertible sheaves Complex projective surfaces of nonnegative Kodaira dimension polarized by an ample and spanned line bundle of genus 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 Nash question; Jacobian condition; non-singular blow-up; Nash blow-up J.A. Moody, On resolving singularities, Maths Institute, Warwick University, 2001, preprint. Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects) On resolving 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 local volumes; Hilbert-Samuel multiplicity; plurigenera; asymptotic invariants; Okounkov body M. Fulger, ''Local volumes on normal algebraic varieties,'' arXiv: 1105.2981 [math.AG]. Rational and birational maps, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Local cohomology and algebraic geometry, Local complex singularities Local volumes of cartier divisors over normal algebraic 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 linear system; rational irreducible variety Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Rational and unirational varieties Individualisation des bases rationnelles des systèmes linéaires de quadriques. (Individualization of the rational bases of linear systems of quadrics) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system extremal rays; three-dimensional algebraic varieties V. V. Shokurov, preprint in Birational Geometry of Algebraic Varieties: Open Problems, 23rd Taneguchi International Symposium, Katata , 1988. \(3\)-folds, Rational and birational maps, Divisors, linear systems, invertible sheaves Extremal contractions of three-dimensional algebraic 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 static bifurcation; stability; dynamic bifurcation; maximal isotropy subgroup conjecture; equivariant bifurcation theory M. Field, \textit{Lectures on Bifurcations, Dynamics and Symmetry}, Chapman & Hall/CRC Research Notes in Mathematics Series, Taylor & Francis, 1996, URL https://books.google.co.uk/books?id=4dqrLHmicR8C. Group-invariant bifurcation theory in infinite-dimensional spaces, Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory, Local and nonlocal bifurcation theory for dynamical systems, Global theory and resolution of singularities (algebro-geometric aspects) Lectures on bifurcations, dynamics and symmetry | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Minimal model program (Mori theory, extremal rays), Fano varieties, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Research exposition (monographs, survey articles) pertaining to algebraic geometry, History of algebraic geometry, History of mathematics in the 21st century Birational geometry of algebraic 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 Newton-Okounkov convex body; big divisor; finitely generated section ring D. Anderson, A. Küronya and V. Lozovanu, Okounkov bodies of finitely generated divisors, Int. Math. Res. Not. IMRN 2014 (2014), no.9, 2343--2355. Divisors, linear systems, invertible sheaves, Special polytopes (linear programming, centrally symmetric, etc.) Okounkov bodies of finitely generated 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 Riemann surface; effective vector bundle; pole placement problem; divisor Vector bundles on curves and their moduli, Geometric methods, Divisors, linear systems, invertible sheaves, Pole and zero placement problems, Linear systems in control theory On the pole placement problem for linear systems of arbitrary genus | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; algebroidal varieties Global theory and resolution of singularities (algebro-geometric aspects), History of mathematics in the 20th century, History of algebraic geometry The resolution of singularities in arbitrary characteristic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system points in linear general position; property \((N_ p)\); minimal free resolution of the coordinate ring Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Relevant commutative algebra, Polynomial rings and ideals; rings of integer-valued polynomials, Global theory and resolution of singularities (algebro-geometric aspects) The Green-Lazarsfeld conjecture for \(n+4\) points in \(\mathbb{P}^ n_ k\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system enumerative geometry; Cartier divisors; \(n\)-pointed, genus 0, stable maps; intersection products of \(\mathbb{Q}\)-divisors; characteristic numbers of rational curves; 1-cuspidal rational locus R. Pandharipande, Intersections of \(\({ Q}\)\)-divisors on Kontsevich's moduli space \(\({\overline{M}}_{0, n}({ P}^{r}, d)\)\) and enumerative geometry. Trans. Am. Math. Soc. 351(4), 1481-1505 (1999) Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic), Birational geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Picard groups Intersections of \(\mathbb{Q}\)-divisors on Kontsevich's moduli space \(\overline M_{0,n}(\mathbb P^r,d)\) and enumerative 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 resolution graphs; log-canonical singularities; Euler characteristic; Picard number; rational-double-point-resolution [B1] Blache, R.: Moishezon-Flächen mit log-canonischen Singularitäten. Dissertation, Bochum 1992 Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry Moishezon- surfaces with log-canonical 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 isolated surface singularities; resolution; maximal cycles; effective divisor González-Sprinberg, G., Cycle maximal et invariant d'Euler local des singularités isolées de surfaces, Topology, 21, 4, 401-408, (1982) Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Topological properties in algebraic geometry, Singularities in algebraic geometry, Local complex singularities Cycle maximal et invariant d'Euler local des singularités isolées de 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 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 arithmetic surfaces; regular models; valuations; desingularization Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces, Software, source code, etc. for problems pertaining to algebraic geometry Desingularization of arithmetic surfaces: algorithmic aspects | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system contractions of non numerically effective extremal rays; deficiency; variety of dimension four; polarized varieties Beltrametti, M.: Contractions of non numerically effective extremal rays in dimension 4, Proc. Alg. Geom. Teubner-Texte Math. 92, 24-37, Berlin: Teubner 1986 Divisors, linear systems, invertible sheaves, Rational and birational maps, \(4\)-folds Contractions of non numerically effective extremal rays in dimension 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 Picard bundles; sheaf on a complex abelian variety; Hermitian metric Analytic theory of abelian varieties; abelian integrals and differentials, Picard groups, Divisors, linear systems, invertible sheaves Some metrics on Picard 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 symbolic powers; interpolation problem; Waldschmidt constant; containment problem; ideals of points; resurgence number; stable Harbourne-Huneke conjecture; Fermat lines configuration; Fermat ideals; ideals of lines Configurations and arrangements of linear subspaces, Polynomial rings and ideals; rings of integer-valued polynomials, Divisors, linear systems, invertible sheaves The initial degree of symbolic powers of Fermat-like ideals of planes and lines 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 algebraic geometry Hironaka, Heisuke, Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math. (2) \textbf{79} (1964), 109--203; ibid. (2), 79, 205-326, (1964) Global theory and resolution of singularities (algebro-geometric aspects) Resolution of singularities of an algebraic variety over a field of characteristic zero. I | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of algebraic surfaces; resolution of singularities; analytic desingularization S. Abhyankar, Resolution of singularities of embedded algebraic surfaces, 2nd ed., Springer Monogr. Math., Springer, Berlin 1998. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rational and birational maps, Modifications; resolution of singularities (complex-analytic aspects) Resolution of singularities of embedded 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 spanned by global sections; polarized surfaces; adjunction process; ample line bundle; sectional genus DOI: 10.1007/BF00147460 Special surfaces, Divisors, linear systems, invertible sheaves Complex surfaces polarized by an ample and spanned line bundle of 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 Mathematicians; formal holomorphic functions; Linear systems; Riemann-Roch theorem Zariski, O.: M.artind.mumfordcollected papers, vol. II. Collected papers, vol. II (1973) Foundations of algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Conference proceedings and collections of articles, Divisors, linear systems, invertible sheaves, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Riemann-Roch theorems Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasilog canonical surfaces; semilog canonical surfaces; Fujita-type freeness; minimal model program Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) Fujita-type freeness for quasilog canonical 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 algebraic cycles; Cartier divisor; intersection; rational equivalence; algebraic stacks Andrew Kresch, ``Canonical rational equivalence of intersections of divisors'', Invent. Math.136 (1999) no. 3, p. 483-496 (Equivariant) Chow groups and rings; motives, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) Canonical rational equivalence of intersections of 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 complex singularities; bi-Lipschitz equivalence; inner metric; conical singularities; weighted homogeneous singularities; Briançon-Speder family Birbrair L., Fernandes A., Neumann W.D.: Bi-Lipschitz geometry of complex surface singularities. Geom. Dedicata, 139, 259--267 (2009) Equisingularity (topological and analytic), Singularities of surfaces or higher-dimensional varieties, Local complex singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Bi-Lipschitz geometry of complex surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects) Erratum to ``Resolution except for minimal singularities. I'' [Adv. Math. 231 (2012) 3022-3053] | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Gieseker-Petri theorem; compact Riemann surface; genus; linear system; K3 surfaces Pareschi, Giuseppe, A proof of Lazarsfeld's theorem on curves on \(K3\) surfaces, J. Algebraic Geom., 4, 1, 195-200, (1995) Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, Infinitesimal methods in algebraic geometry A proof of Lazarsfeld's theorem on curves on \(K3\) 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 fixed point set; flag variety; unipotent element; irreducible components; Young tableaux; Kazhdan-Lusztig polynomials; intersection codimensions; Jordan blocks J.Wolper, Some intersection properties of the fibres of Springer's resolution, Proc. Am. Math. Soc. 91 (1984), 182--188. Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Global theory and resolution of singularities (algebro-geometric aspects) Some intersection properties of the fibres of Springer's 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 Stable base loci; toric variety; cone of divisors Payne S.: Stable base loci, movable curves, and small modifications, for toric varieties. Math. Z. 253(2), 421--431 (2006) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies Stable base loci, movable curves, and small modifications, for toric varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system ampleness; line bundle Mehta, V. B.; Subramanianm, S.: Nef line bundles which are not ample. Math. zeit. 219, 235-244 (1995) Divisors, linear systems, invertible sheaves Nef line bundles which are not ample | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Thom-Boardman singularity; Hessian mapping A. D. R. Choudary and A. Dimca, On the dual and Hessian mappings of projective hypersurfaces , Math. Proc. Cambridge Philos. Soc. 101 (1987), no. 3, 461-468. Singularities in algebraic geometry, Projective techniques in algebraic geometry, Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Global theory and resolution of singularities (algebro-geometric aspects), Complex singularities, Singularities of surfaces or higher-dimensional varieties On the dual and hessian mappings of projective 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 Fujino, O., Higher direct images of log canonical divisors, J. Differ. Geom., 66, 453-479, (2004) Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Higher direct images of log canonical 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 \(G\)-Hilbert schemes; \(G\)-clusters; toric crepant resolution Chiang, L.; Roan, S. -S.: Crepant resolutions of \(Cn/A1(n)\) and flops of n-folds for n=4,5, Fields inst. Commun. 38, 27-41 (2003) Homogeneous spaces and generalizations, Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Parametrization (Chow and Hilbert schemes) Crepant resolutions of \(\mathbb{C}^n/A_1(n)\) and flops of \(n\)-folds for \(n=4,5\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system deformation theory of isolated hypersurface singularities; small resolution; generalized Fano variety; threefold with trivial dualizing sheaf; maximum number of nodes; rational curves of low degree on quintic threefolds Losev, A., Nekrasov, N., Shatashvili, S.: \textit{Testing Seiberg-Witten solution}. In: Strings, branes and dualities (Cargèse, 1997), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. \textbf{520}. Dordrecht: Kluwer Acad. Publ., 1999, pp. 359-372 Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Deformations of singularities, Formal methods and deformations in algebraic geometry, Special surfaces, Singularities of surfaces or higher-dimensional varieties Simultaneous resolution of threefold double 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 desingularization of surface singularities; characteristic p [CGO]Cossart, V., Giraud, J. \&Orbanz, U.,Resolutions of Surface Singularities. Lecture Notes in Math., 1101. Springer-Verlag, Berlin-New York, 1984. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry Resolution of surface singularities. Three lectures with an appendix by H. Hironaka. Ed. by U. Orbanz | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 codes; geometric Goppa codes; bounds; cyclic codes; BCH-codes; Reed-Solomon codes; algebraic curves; divisors; differentials; Riemann-Roch theorem; classical Goppa codes; decoding algorithm J. H. Van Lint, ''Algebraic Geometric Codes,'' preprint. Other types of codes, Computational aspects of algebraic curves, Curves in algebraic geometry, Divisors, linear systems, invertible sheaves, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Riemann-Roch theorems Algebraic geometric codes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system very special linear system Coppens M., Kato T.: Non-trivial linear systems on smooth plane curves. Math. Nachr. 166, 71--82 (1994) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus Non-trivial linear systems on smooth 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 minimal free resolution Ballico E.,On the minimal free resolution of s points in P 3, Rend. Circolo Mat. Palermo37 (1988), 431--443. Global theory and resolution of singularities (algebro-geometric aspects), Projective techniques in algebraic geometry On the minimal free resolution of s points in \({\mathbb{P}}^ 3\) | 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 Taalman, L., The Nash sheaf of a complete resolution, Manuscr. Math., 106, 249-270, (2001) Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects) The Nash sheaf of a complete 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 polarized variety; vanishing theorems; Mori-Kawamata theory; \(\Delta\)- genus; classification of Del Pezzo manifolds Fujita, T., \textit{Classification Theories of Polarized Varieties}, 155, (1990), Cambridge University Press, Cambridge (UK) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(3\)-folds, Projective techniques in algebraic geometry, Families, moduli, classification: algebraic theory Classification theories of polarized 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 dimension \(\leq 5\); hypersurface ordinary singularities; cubic hyper-resolution; successive normalizations Complex surface and hypersurface singularities, Global theory and resolution of singularities (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects) Cubic hyper-resolutions of analytic varieties with hypersurface ordinary singularities of dimension \(\leq 5\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; local uniformization; ramification; principalization; Galois approximation V.COSSARTand O.PILTANT,\textit{Resolution of singularities of threefolds in positive characteristic I}: \textit{Reduction to local uniformization on Artin-Schreier and purely inseparable coverings}, J. Algebra 320 (2008), no. 3, 1051--1082. http://dx.doi.org/10.1016/j.jalgebra.2008.03.032.MR2427629 Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, \(3\)-folds, Ramification problems in algebraic geometry, Rational and birational maps Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system flag variety; geometric invariant theory; principal SL(2)-subgroup; branching cone; Mori dream space Geometric invariant theory, Divisors, linear systems, invertible sheaves, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Homogeneous spaces and generalizations Geometric invariant theory for principal three-dimensional subgroups acting on flag varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Cox rings; projective varieties; divisors; moduli spaces Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Research exposition (monographs, survey articles) pertaining to algebraic geometry Finite generation of 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 symbolic powers; containment problem; resurgence; asymptotic resurgence; symbolic Rees algebra Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves On resurgence via asymptotic resurgence | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 divisor; base point freeness; very ampleness; \(\mathbb{Q}\)-divisor; adjoint bundles; weak log-terminal singularities; projective 3-fold DOI: 10.2996/kmj/1138043548 Divisors, linear systems, invertible sheaves, \(3\)-folds, Singularities in algebraic geometry Effective base point freeness | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; valuations Divisors, linear systems, invertible sheaves A review of geometrically defined functions on Newton-Okounkov bodies | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjoint linear system on a smooth complex threefold Divisors, linear systems, invertible sheaves, \(3\)-folds A linear system on a threefold | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Manin-Mumford; \(p\)-adic rigidity Class field theory; \(p\)-adic formal groups, Regular local rings, Formal power series rings, Formal groups, \(p\)-divisible groups An infinitesimal \(p\)-adic multiplicative Manin-Mumford 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 Tsuchihashi cusps; arithmetic genus default; zeta zero Ishida, M.-N.: Cusp singularities given by stellable cones. Int. J. Math.2, 635--657 (1991) 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) Cusp singularities given by reflections of stellable cones | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 theorem; positive characteristic; Tango; differentials Artin, E.: Supersingular K3 surfaces. Ann. Sci. École Norm Sup. (4\(^e\) Serie) \textbf{7}, 543-568 (1974) Vanishing theorems in algebraic geometry, Families, fibrations in algebraic geometry, Divisors, linear systems, invertible sheaves, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Surfaces and higher-dimensional varieties Counterexamples to Kodaira's vanishing and Yau's inequality in positive characteristics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 plane curve; linear systems Marc Coppens and Takao Kato, The gonality of smooth curves with plane models, Manuscripta Math. 70 (1990), no. 1, 5 -- 25. , https://doi.org/10.1007/BF02568358 Marc Coppens and Takao Kato, Correction to: ''The gonality of smooth curves with plane models'', Manuscripta Math. 71 (1991), no. 3, 337 -- 338. Divisors, linear systems, invertible sheaves, Singularities of curves, local rings The gonality of smooth curves with plane models | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 algebraic sets, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, Klein surfaces Read line bundles on \(k\)-gonal real 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 multiplicity; mixed multiplicity; divisorial valuation; filtration Multiplicity theory and related topics, Divisors, linear systems, invertible sheaves Examples of multiplicities and mixed multiplicities of filtrations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 variety; cohomology of line bundles; semisimple algebraic group; root system Paramasamy, K.: Cohomology of line bundles on Schubert varieties: the rank two case, Proc. indian acad. Sci. 114, No. 4, 345-363 (2004) Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Classical groups (algebro-geometric aspects) Cohomology of line bundles on Schubert varieties: The rank two case | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system homologically finite object; perfect complex; smooth triangulated category; (weakly crepant) categorical resolution; (relative) derived category; CM-finite Gorenstein algebra Zhang, P, Categorical resolutions of a class of derived categories, Sci China Math, 61, 391-402, (2018) Global theory and resolution of singularities (algebro-geometric aspects), Representations of associative Artinian rings, Cohen-Macaulay modules in associative algebras, Relative homological algebra, projective classes (category-theoretic aspects) Categorical resolutions of a class of derived categories | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system monodromy; Picard-Lefschetz transformation; zeta function; Poincaré series Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Deformations of complex singularities; vanishing cycles, Modifications; resolution of singularities (complex-analytic aspects) Lectures on 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 Theorems of Mansion and Smith; determinant; function of the diagonals; product; divisors; line; proof of a corollary; principle of addition of rows; elements above the principal diagonal Research exposition (monographs, survey articles) pertaining to linear algebra, Determinants, permanents, traces, other special matrix functions, Products, amalgamated products, and other kinds of limits and colimits, Divisors, linear systems, invertible sheaves, Proof theory in general (including proof-theoretic semantics) On a theorem of M. Mansion. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasideterminantal rational surface singularity; dual resolution graph Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Determinantal varieties, Complex surface and hypersurface singularities Quasi-determinantal rational surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system terminal singularity; deformation of the surface singularities; minimal model; weak simultaneous resolution; quotient singularity; singularities of class T; moduli space Kollár, J.; Shepherd-Barron, NI, Threefolds and deformations of surface singularities, Invent. Math., 91, 299-338, (1988) Singularities of surfaces or higher-dimensional varieties, Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects) Threefolds and deformations of surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system symbolic powers; codimension two; arithmetically Cohen-Macaulay; locally complete intersection; points in \(\mathbb P^1 \times \mathbb P^1\) Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Symbolic powers of codimension two Cohen-Macaulay ideals | 0 |
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