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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) S. Choi, Y. Hyun, J. Park, and J. Won, Okounkov bodies associated to pseudoeffective divisors, preprint, arXiv:1508.03922. OKOUNKOV BODIES AND ZARISKI DECOMPOSITIONS ON SURFACES1697 Divisors, linear systems, invertible sheaves, Convex sets in \(n\) dimensions (including convex hypersurfaces)
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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. P. Demaily, Effective bounds for very ample line bundles, Invent. Math., 124 (1996), pp. 243-261. Zbl0862.14004 MR1369417 Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry, Normal analytic spaces
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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) Jean-Pierre Demailly, ``Complex analytic and differential geometry'', Vanishing theorems in algebraic geometry, Transcendental methods of algebraic geometry (complex-analytic aspects), Sheaves and cohomology of sections of holomorphic vector bundles, general results, Divisors, linear systems, invertible sheaves, Kähler manifolds, Vanishing 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) Hypersurfaces and algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Equisingularity (topological and analytic), 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) Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Geometric invariant theory, 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) Keum, J, Wild \(p\)-cyclic actions on smooth projective surfaces with \(p_g=q=0\), J. Algebra, 244, 45-58, (2001) Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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) Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties, \(3\)-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) S Yokura, Quasi-bivariant Chern classes obtained by resolutions of singularities, Rep. Fac. Sci. Kagoshima Univ. (2003) 17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Other homology theories in algebraic topology
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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. Wunram, Reflexive modules on cyclic quotient surface singularities, in \(Singularities, Representation of Algebras, and Vector Bundles\) (Springer, Berlin, 1987), pp. 221-231 Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Other special types of modules and ideals in commutative rings, Singularities of surfaces or higher-dimensional varieties, Group actions on varieties or schemes (quotients)
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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) Siksek S., Explicit Chabauty over number fields, Algebra Number Theory 7 (2013), no. 4, 765-793. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Analytic theory of abelian varieties; abelian integrals and differentials, 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) Deformations of singularities, Hypersurfaces and algebraic geometry, Equisingularity (topological and analytic), Complex surface and hypersurface 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) Global theory and resolution of singularities (algebro-geometric aspects), Orders in separable algebras
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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 Gennaro R.: On the structure of the Hartshorne-Rao module of curves on surfaces of minimal degree. Comm. Algebra 33(8), 2749--2763 (2005) Plane and space curves, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Linkage
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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) T. Hayakawa, Blowing ups of \(3\)-dimensional terminal singularities, II, Publ. Res. Inst. Math. Sci. 36 (2000), 423--456. Global theory and resolution of singularities (algebro-geometric aspects), Local complex singularities, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, \(3\)-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) Arcs and motivic integration, Complex surface and hypersurface singularities, Minimal model program (Mori theory, extremal rays), Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to 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) Embeddings in algebraic geometry, Divisors, linear systems, invertible sheaves, 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) Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Surfaces and higher-dimensional 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) Craw, A., An explicit construction of the McKay correspondence for \(A\)-Hilb \({\mathbb{C}^3}\), J. Algebra, 285, 682-705, (2005) Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Toric varieties, Newton polyhedra, Okounkov bodies, Classical real and complex (co)homology in algebraic geometry, Ordinary representations and characters
| 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) M. COPPENS, Very ample linear systems on blowings-up at general points of projective spaces, 45 (2002), pp. 349-354. Zbl1042.14001 MR1937670 Divisors, linear systems, invertible sheaves, Projective techniques 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) D. Morrison: ''The birational geometry of surfaces with rational double points'', Math. Ann., Vol. 271, (1985), pp. 415--438. Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps, Singularities of surfaces or higher-dimensional varieties, 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) [Io]P. Ionescu, ``Generalized adjunction and applications{'',Math. Proc. Camb. Phil. Soc., 99 (1986), 457--472.} Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional 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) Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Singularities in algebraic geometry, 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) Ilic B.: Geometric properties of the double-point divisor. Trans. Am. Math. Soc. 350, 1643--1661 (1998) 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) Projective techniques in algebraic geometry, Special surfaces, 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) Group actions on varieties or schemes (quotients), Classical groups (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Linear algebraic groups and related topics
| 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) Local cohomology and algebraic geometry, Topological properties in algebraic geometry, Divisors, linear systems, invertible sheaves, Classification of mappings in algebraic topology, Complex spaces
| 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, Special divisors on curves (gonality, Brill-Noether theory), Embeddings in algebraic geometry, Syzygies, resolutions, complexes in associative algebras
| 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) Compact Riemann surfaces and uniformization, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic)
| 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) Relations with arrangements of hyperplanes, Arrangements of points, flats, hyperplanes (aspects of discrete 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) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Geometric invariant 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) M. YOSHIOKA, Polarized surfaces of zl-genus 3 and degree 5, Tohoku Math. J. 44 (1992), 597-612 Special surfaces, Global theory and resolution of singularities (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) Raciti, G.: Hilbert function and geometric properties for a closed O-dimensional subscheme of a quadric Q \subsetp3. Comm. algebra 18, No. 9, 3041-3053 (1990) Parametrization (Chow and Hilbert schemes), Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, Schemes and morphisms
| 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) Ishihara, H.: On polarized manifolds of sectional genus three. Kodai Math. J. 18, 328--343 (1995) Divisors, linear systems, invertible sheaves, 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) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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) Tadao Oda, Infinitely very near singular points, Complex analytic singularities, Adv. Stud. Pure Math., vol. 8, North-Holland, Amsterdam, 1987, pp. 363 -- 404. Global theory and resolution of singularities (algebro-geometric aspects), Infinitesimal methods in algebraic geometry, 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) Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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) Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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) Noh S., Watanabe K., Adjacent integrally closed ideals in 2-dimensional regular local rings, J. Algebra, 2006, 302(1), 156--166 Regular local rings, Relevant commutative algebra, Valuations and their generalizations for commutative rings, Integral closure of commutative rings and ideals
| 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) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), 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) Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Relations with arrangements of hyperplanes
| 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) Degtyarev, AI, Classification of surfaces of degree four having a nonsimple singular point, Math. USSR-Izv., 35, 607-627, (1990) Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces, Singularities in algebraic geometry, 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) Lopes, M. Mendes; Pardini, R.: A survey on the bicanonical map of surfaces with pg=0 and K2\?2, , 277-287 (2002) Surfaces of general type, Families, moduli, classification: algebraic theory, 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) Takagi, S; Yoshida, K, Generalized test ideals and symbolic powers, Michigan Math. J., 57, 711-724, (2008) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Regular local rings, 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) Siksek, S, Chabauty for symmetric powers of curves, Algebra Number Theory, 3, 209-236, (2009) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Varieties over global fields, Analytic theory of abelian varieties; abelian integrals and differentials, 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) Kawaguchi, S., Yamaki, K.: Algebraic rank on hyperelliptic graphs and graphs of genus 3. preprint arXiv:1401.3935 (2014, preprint) Special divisors on curves (gonality, Brill-Noether theory), Arithmetic ground fields for curves, Coverings of curves, fundamental group, Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Graph 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) Popescu, D., General Néron desingularization and approximation, Nagoya Math. J., 104, 85-115, (1986) Local structure of morphisms in algebraic geometry: étale, flat, etc., Global theory and resolution of singularities (algebro-geometric aspects), Commutative Noetherian rings and modules, Complete rings, completion, Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Henselian 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) Theta functions and abelian varieties, Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Picard schemes, higher Jacobians
| 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, \(n\)-folds (\(n>4\))
| 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) Zhang D.-Q.: Normal Algebraic Surfaces with trivial tricanonical divisors. Publ. RIMS. Kyoto Univ. 33, 427--442 (1997) \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, 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) Stéphane Chauvin and Cindy De Volder, Some very ample and base point free linear systems on generic rational surfaces, Math. Nachr. 245 (2002), 45 -- 66. , https://doi.org/10.1002/1522-2616(200211)245:13.0.CO;2-L Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, 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) Divisors, linear systems, invertible sheaves, 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) Monnier J.-Ph.: Divisors on real curves. Adv. Geom. 3, 339--360 (2003) Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory), Topology of real algebraic 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) (Equivariant) Chow groups and rings; motives, Divisors, linear systems, invertible sheaves, Transcendental methods, Hodge theory (algebro-geometric aspects), Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants
| 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) Value distribution theory in higher dimensions, Divisors, linear systems, invertible sheaves, Varieties over global fields, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.)
| 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) Furushima, M., A new example of a compactification of \(\mathbb C^3\), Math. Z., 212, 395-399, (1993) Compactification of analytic spaces, Compact complex \(3\)-folds, Divisors, linear systems, invertible sheaves, \(3\)-folds
| 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) Xiao, L., Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities, Rev. mat. iberoam., 33, 1, 67-116, (2017) Singular and oscillatory integrals (Calderón-Zygmund, etc.), 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) H. Gillet and C. Soulé, Amplitude arithmétique, C. R. Acad. Sci. Paris Sér. I Math. 307 (1988), 887--890. Arithmetic problems in algebraic geometry; Diophantine 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) Structure of families (Picard-Lefschetz, monodromy, etc.), 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) Ciro Ciliberto and Rick Miranda, Matching conditions for degenerating plane curves and applications, Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 177 -- 197. 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, \(n\)-folds (\(n>4\)), Projective techniques 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) R. Dervan, Alpha invariants and \(K\)-stability for general polarizations of Fano varieties, \textit{Int. Math. Res. Not.} IMRN (16) (2015) 7162-7189. Geometric invariant theory, Kähler manifolds, Kähler-Einstein manifolds, Fano 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, Toric varieties, Newton polyhedra, Okounkov bodies
| 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) A. J. de Jong, ``Ample line bundles and intersection theory'' in Diophantine Approximation and Abelian Varieties (Soesterberg, Netherlands, 1992) , ed. B. Edixhoven and J.-H. Evertse, Lecture Notes in Math. 1566 , Springer, Berlin, 1993, 69--76. Intersection theory, characteristic classes, intersection multiplicities 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) Picard groups, Divisors, linear systems, invertible sheaves, Jacobians, Prym 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) [7] Dloussky G., Quadratic forms and singularities of genus one or two. Annales de la faculté des sciences de Toulouse vol 20 (2011), p15-69. Minimal model program (Mori theory, extremal rays), Compact complex surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Rational and birational maps
| 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) Temkin, M., Tame distillation and desingularization by \textit{p}-alterations, Ann. of Math. (2), 186, 1, 97-126, (2017) Global theory and resolution of singularities (algebro-geometric aspects), Ramification problems in algebraic geometry, Group actions on varieties or schemes (quotients), Valued fields, Valuations and their generalizations for 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) Divisors, linear systems, invertible sheaves, Plane and space curves, Enumerative problems (combinatorial problems) in algebraic geometry, Topology of real algebraic varieties, Combinatorial aspects of tropical 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) Hara, N.; Watanabe, K.-I., \textit{F}-regular and \textit{F}-pure rings vs. log terminal and log canonical singularities, J. Algebraic Geom., 11, 2, 363-392, (2002) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities 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) Vector bundles on curves and their moduli, Singularities of curves, local rings, Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, 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) Singularities in algebraic geometry, 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) Bauer, Th.; Szemberg, T.: The effect of points fattening in dimension three. Lond. math. Soc. lect. Note ser. 417, 1-11 (2015) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 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) Valuation rings, Global theory and resolution of singularities (algebro-geometric aspects), Valuations, completions, formal power series and related constructions (associative rings and algebras)
| 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) Noma, Atsushi: Rational curves of Castelnuovo-Mumford regularity d-r+1, J. algebra. 321, 2445-2460 (2009) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus
| 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) Harbourne, B.: Rational surfaces with \textit{K}\^{}\{2\}\ >\ 0. Proc. Am. Math. Soc. 124(3), 727-733 (1996) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Computational aspects and applications of 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) Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(n\)-folds (\(n>4\)), 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) Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry, 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) Villamayor U., O. E., On flattening of coherent sheaves and of projective morphisms, J. Algebra, 295, 1, 119-140, (2006), MR 2188879 Rational and birational maps, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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) H. Dao, Remarks on non-commutative crepant resolutions of complete intersections, Adv. Math. 224 (2010), no. 3, 1021-1030. Cohen-Macaulay modules, Homological functors on modules of commutative rings (Tor, Ext, etc.), Global theory and resolution of singularities (algebro-geometric aspects), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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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), Group actions on varieties or schemes (quotients), \(3\)-folds, Representation theory for linear algebraic groups, Arithmetic varieties and schemes; Arakelov theory; heights
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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), Relevant commutative algebra, Étale and other Grothendieck topologies and (co)homologies, 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) [A-S] M. Andreatta--A.J. Sommese, Generically ample divisors on normal Gorenstein surfaces, Contemporary Mathematics, Proc. I.M.A. Singularities, vol 90 (1989), p. 1--19 Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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) \(3\)-folds, 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) Divisors, linear systems, invertible sheaves, 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) Casalaina-Martin, S.; Jensen, D.; Laza, R., Log canonical models and variation of GIT for genus 4 canonical curves, J. Algebraic Geom., 23, 727-764, (2014) Geometric invariant theory, Families, moduli of curves (algebraic), Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Parametrization (Chow and Hilbert schemes), 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) Alexander, J.; Hirschowitz, A.: Interpolation on jets. J. algebra 192, 412-417 (1997) 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) Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Hypersurfaces and 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) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Divisors, linear systems, invertible sheaves, \(3\)-folds, Rational and birational maps
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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) Haase, C.: Lattice polytopes and unimodular triangulations, Ph.D. thesis, Technical University of Berlin (2000) Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Global theory and resolution of singularities (algebro-geometric aspects), Complete intersections, 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) C. Bopp and M. Hoff, RelativeCanonicalResolution.m2--construction of relative canonical resolutions and Eagon-Northcott type compexes, a \({\mathtt{Macaulay2}}\) package. Available at http://www.math.uni-sb.de/ag-schreyer/index.php/people/researchers/75-christian-bopp, 2015. 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) Guardo, E.; Tuyl, A., Some results on fat points whose support is a complete intersection minus a point, 257-266, (2005), Berlin Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Schemes and morphisms
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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) Flavio Angelini, Ample divisors on the blow up of \(\mathbf P^ 3\) at points , Manuscripta Math. 93 (1997), no. 1, 39-48. 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) BELTRAMETTI M. C. and SOMMESE A. J., ''New properties of special varieties arising from adjunction theory'', J. Math. Soc. Japan 43 (1991), 381--412. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Special varieties, Structure of families (Picard-Lefschetz, monodromy, etc.)
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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) Abhyankar, S.: Uniformization in a \( p\)-cyclic extension of a two dimensional regular local domain of residue field characteristic \( p\) . Festschrift zur Gedächtnisfeier für Karl Weierstrass 1815 - 1965, Wissenschaftliche Abhandlungen des Landes Nordrhein-Westfalen \textbf{33} (1966), 243-317, Westdeutscher Verlag, Köln und Opladen Noncommutative algebraic geometry, Cohen-Macaulay modules, Global theory and resolution of singularities (algebro-geometric aspects), Riemann-Roch theorems, Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Representations of quivers and partially ordered sets
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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] T. Matsusaka,On Numerically Effective Divisors with Positive Self-intersection Number, Jour. Fac. Sci. Univ. of Tokyo (1991) Riemann-Roch theorems, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities 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) 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) Divisors, linear systems, invertible sheaves, Special 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) [S1] Schoen, C.: Algebraic cycles on certain desingularized nodal hypersurfaces, Math. Ann.270, 17-27 (1985) Transcendental methods, Hodge theory (algebro-geometric aspects), 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) Formal power series rings, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space 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) Carlini, E., Grieve, N., Oeding, L.: Four lectures on secant varieties. In: Cooper, S.M., Sather-Wagstaff, S. (eds.) Connections Between Algebra, Combinatorics, and Geometry. Springer Proceedings in Mathematics and Statistics, vol.~76, pp.~101-146. Springer, New York (2014) Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves
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