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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 principalization; toroidalization; resolution of morphisms \(3\)-folds, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Local structure of morphisms in algebraic geometry: étale, flat, etc. A principalization algorithm for locally monomial ideal sheaves on 3-folds with an application to toroidalization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Geometric aspects of tropical varieties, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Embeddings in algebraic geometry Effective faithful tropicalizations associated to adjoint linear systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Puiseux's theorem; Newton-Puiseux algorithm; infinitely near points; proximate points; satellite and free points; resolution of singularities; equisingularity; semigroup of a curve; characteristic exponents; linear families of germs; clusters; polar germ; formal power series; convergent power series E. Casas-Alvero, Singularities of plane curves, London Math. Soc. Lecture Note Ser. 276, Cambridge University Press, Cambridge 2000. Singularities of curves, local rings, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces, Equisingularity (topological and analytic), Local complex singularities, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Germs of analytic sets, local parametrization Singularities 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 canonical bundle; subadjunction; log canonical center; log Fano variety; nonvanishing theorem Osamu Fujino & Yoshinori Gongyo, ``On canonical bundle formulas and subadjunctions'', Mich. Math. J.61 (2012) no. 2, p. 255-264 Divisors, linear systems, invertible sheaves, Adjunction problems, Global theory and resolution of singularities (algebro-geometric aspects) On canonical bundle formulas and subadjunctions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 of divisor; blow up of projective surface; exceptional divisors Küchle, O., Ample line bundles on blown up surfaces, Math. Ann., 304, 1, 151-155, (1996) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces Ample line bundles on blown up 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 ample line bundles; blown-up complex surfaces Divisors, linear systems, invertible sheaves, Special surfaces, Global theory and resolution of singularities (algebro-geometric aspects) On the ampleness of the line bundles on blown-up complex 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 Abhyankar-Moh theorem; embedding line theorem; deformation; equisingular family Lejeune-Jalabert, M.: Sur l'équivalence des courbes algébroïdes planes. Coefficients de Newton. Contribution à l'etude des singularités du poit du vue du polygone de Newton, Paris VII, Janvier 1973, Thèse d'Etat. See also in Travaux en Cours, 36 (edit. Lê Dũng Trãng) Introduction à la théorie des singularités I, 49-124 (1988) Singularities of curves, local rings, Formal methods and deformations in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Jacobians, Prym varieties, Equisingularity (topological and analytic), Singularities in algebraic geometry On equisingularity, analytical irreducibility and embedding line 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 affine toric variety; equivariant resolution of the singularities; essential divisors; exceptional divisors C. Bouvier, Germes de courbes tracées sur une variété torique singulière et diviseurs essentiels , C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), no. 4, 387-390. Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects) Germs of curves on a singular toric variety and essential 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 elliptic singularity; topological invariant; line bundle A. Némethi, ''Weakly'' elliptic Gorenstein singularities of surfaces, Invent. Math. 137 (1999), no. 1, 145--167. Equisingularity (topological and analytic), Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Global theory and resolution of singularities (algebro-geometric aspects) ``Weakly'' elliptic Gorenstein singularities of 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 resolution; blowing-up; marked ideal; admissible transformation; derivative ideals; test transformation Bierstone, E., Milman, P.: Functoriality in resolution of singularities. Publ. R.I.M.S. Kyoto Univ.~\textbf{44}, 609-639 (2008) Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps, Birational geometry, Modifications; resolution of singularities (complex-analytic aspects), Equisingularity (topological and analytic) Functoriality in 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 minimally elliptic singularities; constant Hilbert-Samuel function; rational singularity; desingularization; normally flat deformations; cone singularities; fundamental cycle; smoothability U. Karras : Normally flat deformations of rational and minimally elliptic singularities . Proc. of Symp. in Pure Math. 40(I) (1983) 619-639. Deformations of singularities, Singularities of surfaces or higher-dimensional varieties, Deformations of complex singularities; vanishing cycles, Complex singularities, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Formal methods and deformations in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Normally flat deformations of rational and minimally elliptic 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 normal flatness; strictly complete intersection; permissible blowing up; isomultiplicity Michela Brundu, Normal flatness and isomultiplicity, Rend. Sem. Mat. Univ. Politec. Torino 40 (1982), no. 1, 163 -- 172 (Italian, with English summary). Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Multiplicity theory and related topics, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Regular local rings Normal flatness and isomultiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Global theory and resolution of singularities (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Bordism and cobordism theories and formal group laws in algebraic topology Intersection theory in algebraic cobordism | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system index of singularity; codiscrepancy; Cartier divisor; log terminal singularities; cyclic quotient singularities; Hirzebruch-Jung continued fraction; algorithm; log canonical singularities; weights Blache, R. (1994): Two aspects of log terminal surface singularities. Abh. Math. Sem. Univ. of Hamburg64, 59--87 Singularities of surfaces or higher-dimensional varieties, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Two aspects of log terminal 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 uniform Artin-Rees property; regular ring; finite Krull dimension; annihilation of local cohomology; Noetherian ring Huneke C. (2000). Desingularizations and the uniform Artin--Rees theorem. J. London Math. Soc. 62: 740--756 Structure, classification theorems for modules and ideals in commutative rings, Global theory and resolution of singularities (algebro-geometric aspects), Local cohomology and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Regular local rings Desingularizations and the uniform Artin-Rees 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 curves embedded in a rational surface singularity; proximity; divisors; equisingularity Reguera, A. J.: Courbes et proximité sur LES singularités rationnelles de surface. CR acad. Sci. Paris sér. I math. 319, 383-386 (1994) Singularities of surfaces or higher-dimensional varieties, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Curves in algebraic geometry, Local deformation theory, Artin approximation, etc. Curves and proximity in 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 \(F\)-blowups; \(F\)-pure surface; \(F\)-regular surface; rational double points; simple elliptic singularities \beginbarticle \bauthor\binitsN. \bsnmHara, \bauthor\binitsT. \bsnmSawada and \bauthor\binitsT. \bsnmYasuda, \batitle\(F\)-blowups of normal surface singularities, \bjtitleAlgebra Number Theory \bvolume7 (\byear2013), page 733-\blpage763. \endbarticle \OrigBibText N. Hara, T. Sawada and T. Yasuda, \(F\)-blowups of normal surface singularities, Algebra Number Theory 7 (2013), 733-763. \endOrigBibText \bptokstructpyb \endbibitem Singularities in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) \(F\)-blowups of normal surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system very ample line bundle; adjoint linear system; multiplier ideals L. Ein, \textit{Adjoint linear systems}, in: \textit{Current Topics in Complex Algebraic Geometry}, MSRI Publications, 1995, pp. 87-95. Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties Adjoint linear systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system subadjoint ideals; hyperplane sections; sub-adjoint hypersurface Varieties and morphisms, Divisors, linear systems, invertible sheaves, Other special types of modules and ideals in commutative rings, Hypersurfaces and algebraic geometry Subadjoint ideals and hyperplane sections | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system of quadrics Projective analytic geometry, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Sur le rang de la jacobienne des systèmes linéaires de quadriques. (On the rank of the Jacobian 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 \(\mathcal{S}_5\)-covers; canonical resolution; surfaces of general type with positive indices; Galois closure curves; Galois points Global theory and resolution of singularities (algebro-geometric aspects), Coverings in algebraic geometry, Ramification problems in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Surfaces of general type Galois closure covers for 5-fold covers between smooth surfaces 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 nonisolated hypersurface singularities; Milnor fibration; morsification; equisingularity; Zariski's multiplicity conjecture; topological triviality; Floer homology; lattice homology; low dimensional topology; plumbing 3-manifolds; simultaneous resolutions; \(\mu\)-constant families; isolated surface singularities; topological triviality; Lipschitz equisingularity; motivic integration; arc spaces; vanishing cycles; monodromy; vanishing folds; cobordism theorem; computer algebra system ``Singular'' Singularities in algebraic geometry, Equisingularity (topological and analytic), Complex surface and hypersurface singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Topological equisingularity: old problems from a new perspective (with an appendix by G.-M. Greuel and G. Pfister on \textsc{Singular}) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system formal function along a subspace; implicit differentiation; formal power series; standard basis of a local ideal; resolution of singularities Edward Bierstone and Pierre D. Milman, Standard basis along a Samuel stratum, and implicit differentiation, The Arnoldfest (Toronto, ON, 1997) Fields Inst. Commun., vol. 24, Amer. Math. Soc., Providence, RI, 1999, pp. 81 -- 113. Formal neighborhoods in algebraic geometry, Local structure of morphisms in algebraic geometry: étale, flat, etc., Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Formal methods and deformations in algebraic geometry, Formal power series rings, Relevant commutative algebra Standard basis along a Samuel stratum, and implicit differentiation | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 of curves; generality on pointsets in projective 2-space; very ample divisor; blowing-up a finite set of points; Cayley-Bacharach theorem Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Families, moduli of curves (algebraic) Bese's very ampleness theorem and punctured complete intersections | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)), Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Erratum to: Fujita's conjecture and Frobenius amplitude | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 uniformization; hypersurface singularities; resolution of singularities; defect; multiplicity; valuations; Perron transforms; Zariski's reduction of singularities; defectless projection Global theory and resolution of singularities (algebro-geometric aspects), General valuation theory for fields, Valuations, completions, formal power series and related constructions (associative rings and algebras) Defect and local uniformization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system models of subspace arrangements; building sets; Coxeter arrangements; permutoassociahedron G. Gaiffi, ''Real structures of models of arrangements,'' Int. Math. Res. Not., iss. 64, pp. 3439-3467, 2004. Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Global theory and resolution of singularities (algebro-geometric aspects), Relations with arrangements of hyperplanes Real structures of models of 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 blowing-up; infinitely near point; multiplicity sequence; Arf dimension; Campillo saturation; Zariski saturation; equisingularity Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Infinitesimal methods in algebraic geometry On the geometry of the sequence of infinitely near 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 10.1007/s00222-015-0595-7 Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym varieties, Syzygies, resolutions, complexes and commutative rings The generic Green-Lazarsfeld secant 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 quadratic space; conic bundle surface; resolution of singularities; orders in quaternion algebras Singularities of surfaces or higher-dimensional varieties, General binary quadratic forms, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Polynomial rings and ideals; rings of integer-valued polynomials, Global theory and resolution of singularities (algebro-geometric aspects) Arithmetical quadratic surfaces of genus 0. 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 resolution of singularities; equisingularity class; algebroid plane curve Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings Enriques diagram of a plane algebroid branch and the classification 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 Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Families, moduli of curves (algebraic), Singularities of curves, local rings, Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry Mini-workshop: Singular curves on \(K3\) surfaces and hyperkähler manifolds. Abstracts from the mini-workshop held November 8--14, 2015 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Global theory and resolution of singularities (algebro-geometric aspects), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Resolution of singularities: an introduction | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system coverings; linear series; morphism of degree 2 of smooth curves Del Centina, A. : '' Remarks on curves admitting an involution of genus \succcurleq 1 and some applications '', Boll. U.M.I. (6) 4-B(1985) 671-683. Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Divisors, linear systems, invertible sheaves Remarks on curves admitting an involution of genus \(>1\) and some 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 regular local ring; dimension two; blow up C. Favre and M. Jonsson, \textit{Valuations and multiplier ideals}, J. Amer. Math. Soc. 18(2005), no. 3, 655--684. Singularities in algebraic geometry, Lelong numbers, Regular local rings Valuations and multiplier 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 Kodaira energy; polarized threefolds; spectrum conjecture Kollár, J.: Singularities of pairs. In: Algebraic Geometry, Santa Cruz 1995, Proc. Symp. Pure Math, vol. 62, pp. 221-287. Amer. Math. Soc., Providence (1997) Divisors, linear systems, invertible sheaves, \(3\)-folds, Adjunction problems On Kodaira energy and adjoint reduction of polarized 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 projective variety; nef and big (ample) line bundle; (quasi-)polarized variety; \(i\)th \(\Delta\)-genus Divisors, linear systems, invertible sheaves, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\)) A note on non-negativity of the \(i\)th \(\Delta \)-genus of 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 Hilbert schemes; elliptic genera W. Wang and J. Zhou, ''Orbifold Hodge Numbers of Wreath Product Orbifolds,'' J. Geom. Phys. 38, 152--169 (2001). Modifications; resolution of singularities (complex-analytic aspects), Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects), Elliptic genera Orbifold Hodge numbers of the wreath product orbifolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system trigonal curve; Maroni invariant; Weierstrass point; gap-sequence; ramification Brundu, M; Sacchiero, G, On the varieties parametrizing trigonal curves with assigned Weierstrass points, Commun. Algebra, 26, 3291-3312, (1998) Special divisors on curves (gonality, Brill-Noether theory), Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves On the varieties parametrizing trigonal curves with assigned 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 textbook (algebraic geometry); schemes and morphisms; prevarieties; quasi-coherent sheaves; vector bundles; divisors; algebraic curves; determinantal varieties; singularities Görtz, U., Wedhorn, T.: Algebraic Geometry I. Vieweg+Teubner, Wiesbaden (2010) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Schemes and morphisms, Divisors, linear systems, invertible sheaves, Group schemes, Determinantal varieties, Group actions on varieties or schemes (quotients), Singularities in algebraic geometry Algebraic geometry I. Schemes. With examples and exercises | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system ample vector bundle; adjunction; sectional genus Hironobu Ishihara, Some adjunction properties of ample vector bundles, Canad. Math. Bull. 44 (2001), no. 4, 452 -- 458. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Adjunction problems, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) Some adjunction properties of ample vector bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Brill-Noether curve; divisor; covering of curves; base point free pencil Coverings of curves, fundamental group, Pencils, nets, webs in algebraic geometry, Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic) On the construction of a special divisor of some special 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 semi-ample divisor; linear system; Hilbert polynomial; Riemann-Roch inequalities T. Matsusaka, A note and a correction to Riemann-Roch type inequalities, Amer. J. Math. 106 (1984), no. 6, 1265-1268. Riemann-Roch theorems, Divisors, linear systems, invertible sheaves A note and a correction to Riemann-Roch type 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 Seshadri constants; Lelong numbers; Nagata conjecture Eckl, T.: Lower bounds for Seshadri constants, Math. nachr. 281, No. 8, 1119-1128 (2008) Transcendental methods of algebraic geometry (complex-analytic aspects), Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Lower bounds for Seshadri 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 blow up; \((-1)\)-curves; degeneration technique Laface, A.; Ugaglia, L.: Quasi-homogeneous linear systems on P2 with base points of multiplicity 5 Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Fibrations, degenerations in algebraic geometry Quasi-homogeneous linear systems on \({\mathbb P}^ 2\) with base points of multiplicity 5. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Chen-Ruan cohomology; Hilbert schemes; crepant resolution conjecture; symmetric product Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects) On Hilbert schemes and Chen-Ruan 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 conic-line arrangements; nodes; tacnodes; freeness; nearly freeness Configurations and arrangements of linear subspaces, Divisors, linear systems, invertible sheaves, Relations with arrangements of hyperplanes On conic-line arrangements with nodes, tacnodes, and ordinary triple 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 integral Zariski decomposition; \(K3\) surface; Picard number 2 Divisors, linear systems, invertible sheaves A note on a smooth projective surface with Picard number 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 characteristic \(p\); gap sequence; base point free linear subseries Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Divisors, linear systems, invertible sheaves, Picard groups, Riemann surfaces; Weierstrass points; gap sequences On the general osculating flag of a projection of a curve in char\( p\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Waldschmidt constant; Demailly's conjecture; Chudnovsky's conjecture; Nagata-Iarrobino conjecture Divisors, linear systems, invertible sheaves, Ideals and multiplicative ideal theory in commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry Demailly's conjecture on Waldschmidt constants for sufficiently many very general points in \(\mathbb{P}^n\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hypersurface singularities; invariants of singularities; analytic families; Buchsbaum-Rim multiplicities; equisingularity; Jacobian module Terence Gaffney & Steven L. Kleiman, ``Specialization of integral dependence for modules'', Invent. Math.137 (1999) no. 3, p. 541-574 Equisingularity (topological and analytic), Singularities in algebraic geometry, Multiplicity theory and related topics Specialization of integral dependence for modules | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli High dimensional reducible hyperplane sections with multigenera \(\leqq 1\) | 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 elementary functions; differential fields; algebraic curve; divisor; algorithmic integration in finite terms; algorithms; transcendental functions; algebraic functions Symbolic computation and algebraic computation, Extension theory of commutative rings, Algebraic functions and function fields in algebraic geometry, Differential algebra, Divisors, linear systems, invertible sheaves, Software, source code, etc. for problems pertaining to measure and integration, Software, source code, etc. for problems pertaining to algebraic geometry Primitives des fonctions élémentaires (d'après Risch et Davenport) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system ideal sheaf; Fourier-Mukai; divisor; abelian surface; Hilbert scheme; stable sheaf Enumerative problems (combinatorial problems) in algebraic geometry, Configurations and arrangements of linear subspaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles, Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves A Fourier-Mukai approach to the enumerative geometry of principally polarized 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 higher discriminants; multiplicity of the discriminant of a line bundle; Chern classes; cotangent bundle; Segre classes of the jacobian scheme P. Aluffi and F. Cukierman, Manuscripta Math., 78, 245--258 (1993); M. Chardin, J. Pure Appl. Algebra, 101, 129--138 (1995); L. Ducos, J. Pure Appl. Algebra, 145, 149--163 (2000); L. Busé and C. D'Andrea, C. R. Math. Acad. Sci. Paris, 338, 287--290 (2004); C. D' Andrea, T. Krick, and A. Szanto, J. Algebra, 302, 16--36 (2006); arXiv:math/0501281v3 (2005). Divisors, linear systems, invertible sheaves, Jacobians, Prym varieties, Picard schemes, higher Jacobians Multiplicities of discriminants | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system absolute Galois group; function field; anabelian geometry Szamuely, T., Groupes de Galois de corps de type fini (d'après pop), Astérisque, 294, 403-431, (2004) Separable extensions, Galois theory, Global theory and resolution of singularities (algebro-geometric aspects), Arithmetic ground fields for curves, Arithmetic ground fields for surfaces or higher-dimensional varieties Galois groups of fields of finite type (following Pop). | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 model of compact Kähler manifolds; canonical ring; effective divisor; log-terminal singularity Nakayama, N.: The singularities of the canonical model of complex K?hler manifolds. Math. Ann.280, 509-512 (1988) Divisors, linear systems, invertible sheaves, Global differential geometry of Hermitian and Kählerian manifolds The singularity of the canonical model of compact Kähler manifolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system abelian surfaces; nef cone; elliptic curves; volume functions Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties Nef cone volumes and discriminants of 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 complex projective algebraic variety; cycle; divisor; monodromy representation Gennaro, V; Franco, D, Monodromy of a family of hypersurfaces, Ann. Sci. Éc. Norm. Supér. 4e Série, 42, 517-529, (2009) Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Algebraic cycles Monodromy of a family of 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 effective divisor class; almost excellent effective divisors; linear systems of plane curves B. Harbourne, Complete linear systems on rational surfaces, Trans. Amer. Math. Soc., 289 (1985), no. 1, 213--226.Zbl 0609.14004 MR 0779061 Divisors, linear systems, invertible sheaves, Riemann-Roch theorems, Rational and unirational varieties Complete linear systems on rational 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 stable curve; moduli space; Clifford theorem; Picard scheme; Brill-Noether Caporaso L.: Brill-Noether theory of binary curves. Math. Res. Lett. 17(2), 243--262 (2010) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory) Brill-Noether theory of binary 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 adjoint line bundle; global generation; 5-fold; multiplier ideal; critical variety Divisors, linear systems, invertible sheaves, Multiplier ideals, Singularities in algebraic geometry, Adjunction problems Global generation of adjoint line bundles on projective 5-folds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system 10.1007/s00013-005-1275-4 Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, Theta functions and abelian varieties, Projective techniques in algebraic geometry Some results about the projective normality of 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 theta series; slopes; Siegel modular form; Fourier-Jacobi expansion; Schottky's polynomial; moduli space Salvati Manni, R.: Modular forms of the fourth degree. (Remark on a paper of Harris and Morrison). Proc. Conf., Trento/Italy 1990, Lect. Notes Math., vol. 1515, pp. 106--111 (1992) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves Modular forms of the fourth degree. (Remark on a paper of Harris and Morrison) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system intersection cohomology; small resolution for any Schubert cell Zelevinskiĭ, A. V.: Small resolutions of singularities of Schubert varieties. Funct. anal. Appl. 17, No. 2, 142-144 (1983) Global theory and resolution of singularities (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, (Co)homology theory in algebraic geometry Small resolutions of singularities of Schubert 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 asymptotic invariants of linear series; Newton-Okounkov bodies; ampleness and nefness of line bundles; moving Seshadri constants; jet separation Küronya, A.; Lozovanu, V., Infinitesimal Newton-Okounkov bodies and jet separation, (2015) Divisors, linear systems, invertible sheaves, Kähler manifolds, Convex sets in \(n\) dimensions (including convex hypersurfaces) Infinitesimal Newton-Okounkov bodies and jet separation | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Multiplier ideals, Divisors, linear systems, invertible sheaves, Mixed Hodge theory of singular varieties (complex-analytic aspects) Restriction, subadditivity, and semicontinuity theorems for Hodge 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 Blanco, R, Desingularization of binomial varieties in arbitrary characteristic. part II: combinatorial desingularization algorithm, Q. J. Math., 63, 771-794, (2012) Global theory and resolution of singularities (algebro-geometric aspects) Desingularization of binomial varieties in arbitrary characteristic. II: Combinatorial desingularization algorithm | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system twisted homogeneous coordinate ring; torsion modules M. Artin and M. Van den Bergh, ''Twisted homogeneous coordinate rings,''J. Algebra,133, No. 2, 249--271 (1990). Schemes and morphisms, Divisors, linear systems, invertible sheaves, Categories in geometry and topology, Relevant commutative algebra Twisted homogeneous coordinate 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 very ampleness; spannedness; embedding; abelian surfaces; ample line bundle; effective divisor Terakawa, H., The \textit{k}-very ampleness and \textit{k}-spannedness on polarized abelian surfaces, Math. Nachr., 195, 1, 237-250, (1998) Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli of abelian varieties, classification, Embeddings in algebraic geometry The \(k\)-very ampleness and \(k\)-spannedness on polarized 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 DOI: 10.1016/j.crma.2006.11.033 Parametrization (Chow and Hilbert schemes), Group actions on varieties or schemes (quotients), Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies Smooth toric \(G\)-Hilbert schemes via \(G\)-graphs | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system non-commutative crepant resolutions; Hibi rings; class groups Cohen-Macaulay modules, Rings arising from noncommutative algebraic geometry, Algebraic aspects of posets, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects) Non-commutative crepant resolutions of Hibi rings with small class group | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Kummer surfaces; resolving singularities of the quotient of a complex torus by a finite abelian group; Euler numbers; toroidal desingularization; string J. Halverson, C. Long and B. Sung, \textit{Algorithmic universality in F-theory compactifications}, \textit{Phys. Rev.}\textbf{D 96} (2017) 126006 [arXiv:1706.02299] [INSPIRE]. Special surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Topological properties in algebraic geometry On the generalization of Kummer 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 moduli spaces; surfaces; surfaces of general type; volumes of divisors; slc pairs Surfaces of general type, Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves On the boundedness of slc surfaces of general type | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjoint linear systems; line bundle; Fujita conjecture; variety of general type; invariance of plurigenera; Hodge theory Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Transcendental methods, Hodge theory (algebro-geometric aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Transcendental methods of algebraic geometry (complex-analytic aspects), Adjunction problems \(L^2\) methods and effective results in 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 McKay correspondence; derived categories; stacks; Hilbert scheme; Brauer group Chen, J-C; Tseng, H-H, A note on derived mckay correspondence, Math. Res. Lett., 15, 435-445, (2008) McKay correspondence, Stacks and moduli problems, Global theory and resolution of singularities (algebro-geometric aspects), Generalizations (algebraic spaces, stacks), Brauer groups of schemes A note on derived McKay correspondence | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system cuspidal rational plane curves; logarithmic Kodaira dimension Fernández de Bobadilla, Javier; Luengo, Ignacio; Melle Hernández, Alejandro; Némethi, Andras, Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair.Real and complex singularities, Trends Math., 31-45, (2007), Birkhäuser, Basel Singularities of curves, local rings, Singularities in algebraic geometry, Complex surface and hypersurface singularities, Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects) Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system automorphism; semi-abelian variety; group action; logarithmic Kodaira dimension Divisors, linear systems, invertible sheaves, Automorphisms of surfaces and higher-dimensional varieties, Group varieties, Group actions on varieties or schemes (quotients) The dimension of automorphism groups of algebraic varieties with pseudo-effective 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 Kleiman-Chevalley quasi-projectivity criterion; Weil divisor; Cartier divisor; normal variety; quasi-projective variety Włodarczyk, Maximal quasiprojective subsets and the Kleiman-Chevalley quasiprojectivity criterion, J. Math. Sci. Univ. Tokyo 6 pp 41-- (1999) Divisors, linear systems, invertible sheaves, Projective and enumerative algebraic geometry, Picard groups, (Equivariant) Chow groups and rings; motives Maximal quasiprojective subsets and the Kleiman-Chevalley quasiprojectivity criterion | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 of forms; indeterminate Jacobian; Jacobian with irregular dimension Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry Linear systems of forms whose Jacobian has irregular 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 singularities of quotient; simplicial toric variety; canonical singularities Pouyanne, Nicolas: Une résolution en singularités toriques simpliciales des singularités-quotient de dimension trois. Ann. fac. Sci. Toulouse (6) 1, 363-398 (1992) \(3\)-folds, Singularities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects) A resolution of three dimensional quotient-singularities in simplicial toric singularities. Three dimensional 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 polarized manifold; adjoint bundle; effectivity Fukuma, Y., Effective non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds, J. Pure Appl. Algebra, 215, 168-184, (2011) Divisors, linear systems, invertible sheaves, \(3\)-folds, Adjunction problems Effective non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 order of vanishing; ideal sheaf; level-\(n\) asympotic multiplier ideal; graded system of ideals; smooth complex variety; symbolic power of an ideal Ideals and multiplicative ideal theory in commutative rings, Integral closure of commutative rings and ideals, Structure, classification theorems for modules and ideals in commutative rings, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry A Briançon-Skoda type theorem for graded systems of 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 irregularity; polarized manifold; sectional genus Divisors, linear systems, invertible sheaves, \(3\)-folds On polarized 3-folds \((X, L)\) such that \(h^0 < (L)=2\) and the sectional genus of (\(X, L\)) is equal to the irregularity of \(X\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system fat points; regularity index; zero-scheme Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series An estimate of the regularity index of fat points in some cases | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(q\)-ample vector bundles; \(q\)-ample subvarieties Algebraic cycles, Formal neighborhoods in algebraic geometry, Divisors, linear systems, invertible sheaves Partially ample subvarieties 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 number of non-rational subfields; number of separable subfields; number of morphisms of algebraic curves; Chow coordinates; theorem of the base; Jacobian; genus; function field; Angle theorem; de Franchis' theorem E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Birational geometry, Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Special surfaces Bounds on the number of non-rational subfields of a function 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 dual varieties; isolated singularities; irreducible cycles Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves Sur le discriminant des sections d'une variété projective singulière par des hypersurfaces de degré élevé. (On the discriminant of hypersurface sections of high order of a projective singular variety) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic surfaces; adjoint linear systems Surfaces of general type, Divisors, linear systems, invertible sheaves, Adjunction problems, Families, moduli, classification: algebraic theory Adjoint linear systems on algebraic surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system maximal quasi-projective subset doi:10.1090/S0002-9939-05-07859-7 Schemes and morphisms, \(3\)-folds, Divisors, linear systems, invertible sheaves, Rational and birational maps On the projectivity of 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 equisingularity; plane singular curve Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Plane and space curves Algebraic aspects of Zariski's equisingularity in codimension 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 cones; fat flats; special linear systems; line arrangements; unexpected varieties; base loci Configurations and arrangements of linear subspaces, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Combinatorial aspects of commutative algebra, Sheaves in algebraic geometry New constructions of unexpected hypersurfaces in \(\mathbb{P}^n\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system planar vector fields; nilpotent singularities; analytic unfolding; blowing-up; strict transforms; desingularization; canard problem; foliations; power geometry; normal forms; limit periodic sets; limit cycles Panazzolo, D., Desingularization of nilpotent singularities in families of planar vector fields, Mem. Am. Math. Soc., 158, (2002) Singularities of vector fields, topological aspects, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, Control problems involving ordinary differential equations, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects) Desingularization of nilpotent singularities in families of planar vector fields | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 curve singularities; positive characteristic; saturation Campillo, A.: Arithmetical aspects of saturation of singularities. Pol. Acad. Publ. 20, 121-137 (1988) Singularities of curves, local rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local rings and semilocal rings Arithmetical aspects of saturation 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 Kähler differents; sheaf of relative differentials; ramification points; birational morphism; exceptional locus; Dedekind different; reduced ramification index; dominating pair of regular local rings Zhao Hua Luo, Ramification divisor of regular schemes, Algebraic geometry and algebraic number theory (Tianjin, 1989 -- 1990) Nankai Ser. Pure Appl. Math. Theoret. Phys., vol. 3, World Sci. Publ., River Edge, NJ, 1992, pp. 77 -- 91. Regular local rings, Modules of differentials, Singularities in algebraic geometry, Schemes and morphisms Ramification divisor of regular 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 log minimal model program; vanishing theorems Osamu Fujino, ``Fundamental theorems for the log minimal model program'', Publ. Res. Inst. Math. Sci.47 (2011) no. 3, p. 727-789 Minimal model program (Mori theory, extremal rays), Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves Fundamental theorems for the log minimal model program | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system monoidal transformation of the complex projective plane; Néron-Severi group; effective divisor; exceptional curves Rosoff, J., Effective divisor classes and blowings-up of \(\mathbb P^2\), Pacific J. Math., 89, 2, 419-429, (1980) Divisors, linear systems, invertible sheaves, Rational and birational maps Effective divisor classes and blowings-up 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 linear system; \(d\)-gonal curve; rational normal scroll; scrollar invariants; bielliptic curves; Castelnuovo curves Del Centina A., Gimigliano A.: Scrollar invariants and resolutions of certain d-gonal curves. Ann. Univ. Ferrara Sez. VII Sc. Mat. XXXIX, 187--201 (1993) Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Elliptic curves Scrollar invariants and resolutions of certain \(d\)-gonal 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 holomorphic functions of two variables; Milnor fibre; Lipschitz homeomorphisms Milnor fibration; relations with knot theory, Local complex singularities, Equisingularity (topological and analytic), Singularities of curves, local rings Concentration of curvature and Lipschitz invariants of holomorphic functions of two variables | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic stacks; toroidal geometry; logarithmic schemes; birational geometry; resolution of singularities Generalizations (algebraic spaces, stacks), Rational and birational maps, Global theory and resolution of singularities (algebro-geometric aspects) Toroidal orbifolds, destackification, and Kummer blowings up | 0 |
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