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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Étale and other Grothendieck topologies and (co)homologies, Ramification problems in algebraic geometry, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Ultraproducts (number-theoretic aspects), Algebraic moduli problems, moduli of vector bundles
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Jacobians, Prym varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Grassmannians, Schubert varieties, flag manifolds
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Singularities of curves, local rings, Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Equisingularity (topological and analytic), Singularities in algebraic geometry, Singularities of curves, local rings, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) N. Bourbaki, \textit{Commutative Algebra}, Chapters 1-7, Elements of Mathematics (Berlin) (Springer-Verlag, Berlin, 1998); Translated from the French; Reprint of the 1989 English translation. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Theory of modules and ideals in commutative rings, Research exposition (monographs, survey articles) pertaining to commutative algebra, Collected or selected works; reprintings or translations of classics, Topological rings and modules, Ideals and multiplicative ideal theory in commutative rings, Valuations and their generalizations for commutative rings, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge Research exposition (monographs, survey articles) pertaining to algebraic geometry, Divisors, linear systems, invertible sheaves, Group actions on varieties or schemes (quotients), Toric varieties, Newton polyhedra, Okounkov bodies
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Kouvidakis, A.: Divisors on symmetric products of curves. Trans. Am. Math. Soc. 337, 117--128 (1993) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Bauer, T; Schulz, C, Seshadri constants on the self-product of an elliptic curve, J. Algebra., 320, 2981-3005, (2008) Elliptic curves, Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties, Abelian varieties and schemes
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Ebeling W., Wall C.T.C.: Kodaira singularities and an extension of Arnold's strange duality. Compositio Math. 56, 3--77 (1985) Singularities of surfaces or higher-dimensional varieties, Deformations of singularities, Complex singularities, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local complex singularities
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Singularities in algebraic geometry, Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Embeddings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Picard groups
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Chiarli, N.: Completeness and non-speciality of linear series on space curves and deficiency of the corresponding linear series on normalization. Queen's papers in pure and applied mathematics 67 (1984) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) [LP] Lanteri, A., Palleschi, M.: Adjuntion properties of polarized surfaces via Reider's method. Math. Scand.65, 175-188 (1989) Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) M. Thaddeus, Stable pairs, linear systems and the Verlinde formula, Invent. Math. 117 (1994), 317-353. Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Classical real and complex (co)homology in algebraic geometry, Deformations of fiber bundles
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Alberich-Carramiñana, M., An algorithm for computing the singularity of the generic germ of a pencil of plane curves, Commun. Algebra, 32, 1637-1646, (2004) Singularities in algebraic geometry, Equisingularity (topological and analytic)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.1007/BF02584813 Riemann surfaces; Weierstrass points; gap sequences, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) \(3\)-folds, Rational and unirational varieties, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Complete intersections
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Beltrametti, M.C., Lanteri, A., Sommese, A.J.: Adjunction and singular loci of hyperplane sections. J. Math. Soc. Jpn. (2014) Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties, \(n\)-folds (\(n>4\)), Adjunction problems
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Voisin, C. : '' Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri '', Acta Math. 168 (1992) 249-272. Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Curves in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) J. Denef and F. Loeser, \textit{Germs of arcs in singular algebraic varieties and motivic integration}, \textit{Invent. Math.}\textbf{135} (1999) 201 [math/9803039]. Arcs and motivic integration, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Semialgebraic sets and related spaces, Quantifier elimination, model completeness, and related topics, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Motivic cohomology; motivic homotopy theory
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Lee, Y-P, A formula for Euler characteristics of tautological line bundles on the Deligne-Mumford moduli spaces, IMRN, 8, 393-400, (1997) Families, moduli of curves (algebraic), Topological properties in algebraic geometry, Divisors, linear systems, invertible sheaves, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Pseudogroups and differentiable groupoids, Logarithmic algebraic geometry, log schemes
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Hwang, J.; Keum, J., Seshadri-exceptional foliations, Mathematische Annalen, 2, 287-297, (2003) Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Picard groups, Local cohomology and algebraic geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Dlab, V.: Representations of valued graphs. In: Séminaire de Mathématiques Supérieures [Seminar on Higher Mathematics], vol. 73. Presses de l'Université de Montréal, Montreal, Que (1980) Singularities in algebraic geometry, Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Complex surface and hypersurface singularities, Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Michon, J. F.: Codes de goppa. Sem. th. Nombres Bordeaux 7 (1983--1984) Linear codes (general theory), Algebraic functions and function fields in algebraic geometry, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Syzygies, resolutions, complexes and commutative rings, Rational and ruled surfaces
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Biswas, I.; Parameswaran, A. J.; Subramanian, S.: Numerically effective line bundles associated to a stable bundle over a curve. Bull. sci. Math 128, 23-29 (2004) Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Group actions on varieties or schemes (quotients)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Other algebraic groups (geometric aspects), Representation theory for linear algebraic groups, Singularities in algebraic geometry, Semisimple Lie groups and their representations
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Y. Kawamata, ''On the extension problem of pluricanonical forms,'' in Algebraic Geometry: Hirzebruch 70, Providence, RI: Amer. Math. Soc., 1999, vol. 241, pp. 193-207. Rational and birational maps, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Computational aspects of higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Symbolic computation and algebraic computation
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Riemann surfaces; Weierstrass points; gap sequences, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Zariski O.: Le problème des modules pour les courbes planes. Hermann, Paris (1986) Global theory and resolution of singularities (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Singularities in algebraic geometry, Power series rings
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Configurations and arrangements of linear subspaces, Polynomial rings and ideals; rings of integer-valued polynomials, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Configurations and arrangements of linear subspaces, Planar arrangements of lines and pseudolines (aspects of discrete geometry), Secant varieties, tensor rank, varieties of sums of powers
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Algebraic cycles, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\))
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Frédéric Mangolte, Une surface réelle de degré 5 dont l'homologie est entièrement engendrée par des cycles algébriques, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 4, 343 -- 346 (French, with English and French summaries). Singularities of surfaces or higher-dimensional varieties, Real algebraic sets, Classical real and complex (co)homology in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Hara, N., A characteristic \(p\) analog of multiplier ideals and applications, Commun. Algebra, 33, 3375-3388, (2005) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Regular local rings, Effectivity, complexity and computational aspects of algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Esteves E., J. Pure Appl. Algebra 214 pp 1718-- (2010) Divisors, linear systems, invertible sheaves, Fibrations, degenerations in algebraic geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Huneke C., Sally J. (1988). Birational extensions in dimension two and integrally closed ideals. J. Algebra 115:481--500 Regular local rings, Multiplicity theory and related topics, Rational and birational maps, Local rings and semilocal rings
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli, classification: algebraic theory
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) 10.1093/imrn/rnu067 Global theory of complex singularities; cohomological properties, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Local complex singularities, Complex singularities, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Characteristic classes and numbers in differential topology, Foliations in differential topology; geometric theory
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Lang, J.; Blass, P.; Joyce, D.: The divisor classes of the \(zp = G(x, y)\), a programmable problem. J. algebra 100 (1986) Software, source code, etc. for problems pertaining to algebraic geometry, Special surfaces, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) D'Ambros, P., Bipolarized threefolds with hyperelliptic curve sections, Ann. Univ. Ferrara. Sez. VII, XLV, 75-86, (1999) \(3\)-folds, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) M. OKA, On the resolution of hypersurfaces singularities, Adv. Studies in Pure Math. 8 (1986), 405-^36 Zentralblatt MATH: Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) O'Grady, Kieran G, On the Picard group of the moduli space for \(K\)-\(3\) surfaces, Duke Math. J., 53, 117-124, (1986) Picard groups, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Mumford, D.: Varieties defined by quadratic equations, 1970 Questions on Algebraic Varieties (C.I.M.E., III Ciclo, Varenna, 29-100 Edizioni Cremonese, Rome (1969) Divisors, linear systems, invertible sheaves, \(3\)-folds
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Cauwbergs, Thomas; Veys, Willem, Monodromy eigenvalues and poles of zeta functions, Bull. Lond. Math. Soc., 49, 2, 342-350, (2017) Singularities in algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Local complex singularities
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Farnik, Ł., A note on k-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces, Abh. Math. Semin. Univ. Hambg., 86, 1, 69-77, (2016) Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Villamayor, O.: On smoothness and blowing ups of arithmetical schemes. Math. Z. 225, 317-332 (1997) Schemes and morphisms, Global theory and resolution of singularities (algebro-geometric aspects), Arithmetic problems in algebraic geometry; Diophantine geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Local complex singularities, Equisingularity (topological and analytic), Global theory of complex singularities; cohomological properties, Complex surface and hypersurface singularities
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Igor Zhukov, Ramification of surfaces: Artin-Schreier extensions, Algebraic number theory and algebraic geometry, Contemp. Math., vol. 300, Amer. Math. Soc., Providence, RI, 2002, pp. 211 -- 220. Ramification problems in algebraic geometry, Ramification and extension theory, Regular local rings
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fano varieties, Complete intersections, Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) De La Rosa Navarro, B.L., Frías Medina, J.B., Lahyane, M., Moreno Mejía, I., Osuna Castro, O.: A geometric criterion for the finite generation of the Cox ring of projective surfaces. Rev. Mat. Iberoam. 31(4), 1131-1140 (2015) Divisors, linear systems, invertible sheaves, Picard groups, Riemann-Roch theorems
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Integral closure of commutative rings and ideals, Regular local rings, Plane and space curves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, Special surfaces
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Deshommes, B.: Critères de rationalité et application à la série génératrice d'un système d'équations à coefficients dans un corps local. J. number theory 22, 75-114 (1986) Zeta functions and \(L\)-functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global theory and resolution of singularities (algebro-geometric aspects)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Domitrescu, O.; Postinghel, E.; Urbinati, S., Cones of effective divisors on the blown-up \(\mathbb{P}^3\) in general lines, Rend. circ. mat. Palermo, II, 66, 8, 205-216, (2017) Divisors, linear systems, invertible sheaves, \(3\)-folds, Fano varieties
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Surfaces of general type
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Critical points of functions and mappings on manifolds, Singularities in algebraic geometry, Equisingularity (topological and analytic)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Peternell, T.: Manifolds of Semi-positive Curvature. LNM 1646, 98--142 (1996) Divisors, linear systems, invertible sheaves, Kähler manifolds, Global differential geometry of Hermitian and Kählerian manifolds
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Lauritzen, N.; Thomsen, J. F., Line bundles on Bott-Samelson varieties, J. Algebraic Geom., 13, 461-473, (2004) Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Classical groups (algebro-geometric aspects), Vanishing theorems in algebraic geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) F. Sakai, Normal Gorenstein surfaces and blowing ups, Saitama Math. J.1 (1983), 29--35. Rational and birational maps, Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Y. Fukuma , On d-very ample line bundles on abelian surfaces , preprint. Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Seunghun Lee, Filtrations and local syzygies of multiplier ideals, J. Algebra 315 (2007), no. 2, 629 -- 639. Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory), Topology of real algebraic varieties, Real algebraic and real-analytic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.1006/jabr.1997.7120 Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Kulikov, V.S. 1983. The calculation of the singularities of the embedding of a generic algebraic surface in the projective space P 3. Functional Analysis and Applications, 17:176-186. Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Minimal model program (Mori theory, extremal rays), Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fulton, W. , Harris, J. , Lazarsfeld, R. : '' Excess linear series on an algebraic curve '', Proc. AMS 92 (1984) 320-322. Divisors, linear systems, invertible sheaves, Curves in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991) Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Families, moduli, classification: algebraic theory, Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) M.L. Fania , Extension of modifications of ample divisors on fourfolds II , J. Math. Soc. Japan , 38 ( 1986 ), pp. 285 - 294 . Article | MR 833203 | Zbl 0597.14035 \(4\)-folds, Divisors, linear systems, invertible sheaves, Birational geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Süß, H., Fano threefolds with 2-torus action--a picture book, Doc. Math., 19, 905-914, (2014) Group actions on varieties or schemes (quotients), Fano varieties, Kähler-Einstein manifolds, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr: Singular curves and quasi-hereditary algebras. (2015) Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Artal Bartolo, E.; Luengo, I.; Melle-Hernández, A., Milnor number at infinity, topology and Newton boundary of a polynomial function, Math. Z., 233, 4, 679-696, (2000) Equisingularity (topological and analytic), Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Topological properties in algebraic geometry, Geometric invariant theory
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Singularities of curves, local rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Computational aspects of algebraic curves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Holomorphic symplectic varieties, hyper-Kähler varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Singularities of holomorphic vector fields and foliations, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Guardo, E; Harbourne, B; Tuyl, A, Asymptotic resurgences for ideals of positive dimensional subschemes of projective space, Adv. Math., 246, 114-127, (2013) Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) O. Haution, Reduced Steenrod operations and resolution of singularities, J. K-Theory 9 (2012), no. 2, 269-290. Riemann-Roch theorems, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) di Rocco, S., Sommese, A.J.: Line bundles for which a projectivized jet bundle is a product. Proc. Am. Math. Soc. 129(6), 1659--1663 (2000) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Holomorphic bundles and generalizations
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fernandez-Sanchez, J.: Equivalence of the Nash conjecture for primitive and sandwiched singularities. Proc. amer. Math. soc. 133, 677-679 (2005) Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Homogeneous spaces and generalizations, Regular local rings
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Adjunction problems, \(n\)-folds (\(n>4\)), Fano varieties, Divisors, linear systems, invertible sheaves
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