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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.; Roé, J., Discrete behavior of Seshadri constants on surfaces, J. pure appl. algebra, 212, 616-627, (2008) Divisors, linear systems, invertible sheaves, Surfaces and 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) Beauville A.: Vector bundles and theta functions on curves of genus 2 and 3. Am. J. Math. 128, 607--618 (2006) Vector bundles on curves and their moduli, 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) 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) J. Kollár and T. Matsusaka, Riemann-Roch type inequalities, Amer. J. Math. 105 (1983), no. 1, 229-252. Riemann-Roch theorems, Intersection theory, characteristic classes, intersection multiplicities 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) S. S. Kannan and S. K. Pattanayak, Projective normality of finite group quotients and EGZ theorem, manuscript. Divisors, linear systems, invertible sheaves, Other combinatorial number theory, Actions of groups on commutative rings; 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) Biancofiore A., Pacific Journal of Mathematics 143 pp 9-- (1990) Divisors, linear systems, invertible sheaves, Rational and ruled 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) M.C. Beltrametti, A.L. Knutsen, A. Lanteri and C. Novelli: Geometry of rays-positive manifolds , Collect. Math. 63 (2012), 375-391. Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Fano varieties, 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) Steffens A. (1998). Remarks on Seshadri constants. Math. Z. 227: 505--510 Divisors, linear systems, invertible sheaves, Jacobians, Prym varieties, Theta functions and curves; Schottky problem, Theta functions and abelian 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) Шокуров, В. В., Теорема о необращении в нуль, Изв. АН СССР. Сер. матем., 49, 3, 635-651, (1985) Divisors, linear systems, invertible sheaves, Classical real and complex (co)homology in algebraic geometry, Minimal model program (Mori theory, extremal rays)
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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 groups, \(p\)-divisible groups, Regular local rings
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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) Tomari, M., A geometric characterization of normal two-dimensional singularities of multiplicity two with pa^ 1, Publ. R. J. M. S. Kyoto Univ., 20 (1984), 1-20. Singularities of surfaces or higher-dimensional varieties, 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) Vanishing theorems in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Intersection theory, characteristic classes, intersection multiplicities 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) (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Multiplicity theory and related topics
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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, Divisors, linear systems, invertible sheaves, \(4\)-folds, \(n\)-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) ELS L.~Ein, R.~Lazarsfeld and K.~E.~Smith, Uniform bounds and symbolic powers on smooth varieties, Invent. Math. \textbf 144 (2001), no.2, 241--252. Regular local rings, Relevant commutative algebra
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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/BF02571348 Picard groups, 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) 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) Determinants, permanents, traces, other special matrix functions, Proof theory in general (including proof-theoretic semantics), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra, Relational systems, laws of composition, Divisors, linear systems, invertible sheaves, Symmetric functions and generalizations, Multiplicative structure; Euclidean algorithm; greatest common divisors, Polynomials in real and complex fields: factorization
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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) Surfaces of general type, 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) Ilardi, G., Jacobian ideals, arrangements and the Lefschetz properties, J. Algebra, 508, 418-420, (2018) Commutative Artinian rings and modules, finite-dimensional algebras, Configurations and arrangements of linear subspaces, Projective differential geometry, Divisors, linear systems, invertible sheaves, Rational and unirational 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) Y. Fukuma, On sectional genus of quasi-polarized \(3\) -folds, Trans. Amer. Math. Soc., 351 (1999), pp. 363-377. Zbl0905.14003 MR1487615 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) Benito, Angélica; Villamayor U., Orlando E., Monoidal transforms and invariants of singularities in positive characteristic, Compos. Math., 149, 8, 1267-1311, (2013) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Graded rings, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes
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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) Barja, M. Á.; Pardini, R.; Stoppino, L., Surfaces on the Severi line, J. Math. Pures Appl. (9), 105, 5, 734-743, (2016) Surfaces of general type, Coverings 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) Bertin, J.: Obstructions locales, au relèvement de revêtements galoisiens de courbes lisses. C.R. Acad. Sci. Paris Sér.~I Math. 326, 55--58 (1998) Coverings of curves, fundamental group, Arithmetic ground fields for curves, 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) Global theory and resolution of singularities (algebro-geometric aspects), Homogeneous spaces 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) \(K3\) surfaces and Enriques surfaces, 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) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects), Complex spaces, Global theory and resolution of singularities (algebro-geometric aspects), Dynamical aspects of holomorphic foliations and vector fields, Singularities of holomorphic vector fields and foliations, Foliations (differential geometric aspects), Contact manifolds (general theory), Foliations in differential topology; geometric theory, 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) D. Eisenbud and J.-H. Koh, ''Remarks on points in a projective space,'' in Math. Sci. Res. Inst. Publ. Berkeley, CA, 1987, Vol. 15: Commutative Algebra (Springer, New York, 1989), pp. 157--172. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, 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) D. J. Saltman, ''Cyclic algebras over \(p\)-adic curves,'' J. Algebra, vol. 314, iss. 2, pp. 817-843, 2007. Finite-dimensional division rings, Curves over finite and local fields, Arithmetic ground fields for curves, Brauer groups of schemes, Skew fields, division rings, Algebras and orders, and their zeta functions, Algebraic functions and function fields in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local ground fields in algebraic geometry, 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) Global theory and resolution of singularities (algebro-geometric aspects), Transcendence (general theory), Computational number theory, Semialgebraic sets and related 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) 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) Serrano F. (1987). Extension of morphisms defined on a divisor. Math. Ann. 277: 395--413 Divisors, linear systems, invertible sheaves, Local structure of morphisms in algebraic geometry: étale, flat, 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) Lê, D. T., Singularity Theory, Generic sections of singularities, 677-682, (2007), World Scientific, Hackensack 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, Vanishing theorems in algebraic geometry, Embeddings 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) Cheltsov, I.; Park, J., Factorial hypersurfaces in P\^{}\{4\} with nodes, Geom. Dedicata, 121, 205-219, (2006) Singularities of surfaces or higher-dimensional varieties, Divisors, linear systems, invertible sheaves, \(3\)-folds, 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) Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Transcendental methods, Hodge theory (algebro-geometric aspects), Sheaves in algebraic geometry, Families, moduli of curves (algebraic), Global theory and resolution of singularities (algebro-geometric aspects), Geometric invariant theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Mixed Hodge theory of singular varieties (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) Singularities 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) [Mk]K. Matsuki, ``On pluricanonical maps for 3-folds of general type{'',J. Math. Soc. Japan, 38 (1986), 339--359.} \(3\)-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) Families, moduli of curves (algebraic), Algebraic cycles, 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) DOI: 10.1007/BF02984105 Minimal model program (Mori theory, extremal rays), Rational and birational maps, 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) Local deformation theory, Artin approximation, etc., Moduli, classification: analytic theory; relations with modular forms, Surfaces of general type, Fano varieties, Coverings in algebraic geometry, Vanishing theorems in algebraic geometry, Deformations of complex structures, Equisingularity (topological and analytic), Compact complex surfaces, Arrangements of points, flats, hyperplanes (aspects of discrete 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) Local complex singularities, Singularities of curves, local rings, 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) [3]A. Bodin, Invariance of Milnor numbers and topology of complex polynomials, Comment. Math. Helv. 78 (2003), 134--152. Equisingularity (topological and analytic), Singularities of curves, local rings
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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) Brenton, D.; Drucker, D., Perfect graphs and complex surface singularities with perfect local fundamental group, Tohoku Math. J., 41, 507-525, (1989) Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Local complex singularities, Continued fractions, Coverings in algebraic geometry, Graph 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) Totaro, B., \textit{the topology of smooth divisors and the arithmetic of abelian varieties}, Michigan Math. J., 48, 611-624, (2000) Divisors, linear systems, invertible sheaves, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian 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) Alagal W., Maciocia A.: Critical \(k\)-Very Ampleness for Abelian Surfaces, preprint arXiv:1401.4046v3 [math.AG] (2014) Fine and coarse moduli spaces, Divisors, linear systems, invertible sheaves, 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) Quadratic forms over general fields, Regular local rings, (Co)homology theory 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) H. Hironaka, On the presentations of resolution data, in Algebraic analysis, geome- try, and number theory (Baltimore, MD, 1988), 135-151, Johns Hopkins Univ. Press, Baltimore, MD, 1989. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, 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) Braun, R.: On the normal bundle of cartier divisors on projective varieties. Arch. math. 59, 403-411 (1992) 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) T. Shioda, \textit{Algebraic cycles on a certain hypersurface, in Algebraic Geometry (Tokyo/Kyoto, 1982)}, Lecture Notes in Mathematics \textbf{1016}, Springer-Verlag, Berlin, 1983, pp. 271-294. Picard groups, Classical real and complex (co)homology in 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) Yujiro Kawamata, The Zariski decomposition of log-canonical divisors, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 425 -- 433. 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) D. I. Dais, M. Henk, G. M. Ziegler, On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimensions \geqslant4 Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra 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) T. Bauer, S. Di Rocco, B. Harbourne, M. Kapustka, A. L. Knutsen, W. Syzdek and T. Szemberg, A primer on Seshadri constants, in \textit{Interactions of Classical and Numerical Algebraic Geometry}, Contemporary Mathematics, 496, Amer. Math. Soc., Providence, RI, 2009, 33-70. Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Rational and ruled surfaces, 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) Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Singularities 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) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, 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) L. Degoli: Trois nouveaux théorèmes sur les systèmes linéaires de quadriques à Jacobienne identiquement nulle. Demonstratio Mathematica, Warszawa, Vol. 16) Projective techniques in algebraic geometry, Projective analytic 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) Singularities of curves, local 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) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Vanishing theorems 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) Weil, André, Sur les courbes algébriques et les variétés qui s'en déduisent, Actual. Sci. Ind., vol. 1041, (1948), Hermann et Cie: Hermann et Cie Paris Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic problems in algebraic geometry; Diophantine geometry, Curves in algebraic geometry, Arithmetic algebraic geometry (Diophantine geometry), Divisors, linear systems, invertible sheaves, Riemann-Roch theorems
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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) Beauville, A., Some stable vector bundles with reducible theta divisor, \textit{Manuscripta Math.}, 110, 343-349, (2003) Vector bundles on curves and their moduli, Theta functions and curves; Schottky problem, Theta functions and abelian varieties, 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) Coppens, M.: The existence of k-gonal curves possessing exactly two linear systems gk1. Math. ann. 307, 291-297 (1997) 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) Singularities of curves, local rings, Divisors, linear systems, invertible sheaves, 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) Local complex singularities, Complex singularities, Fundamental group, presentations, free differential calculus, Coverings in algebraic geometry, 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) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Fano varieties, \(n\)-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) Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Picard groups, Minimal model program (Mori theory, extremal rays), Families, moduli, classification: algebraic theory, Vector bundles on surfaces and higher-dimensional varieties, 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) Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Positive characteristic ground fields 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) J. M. Wahl, A characterization of quasihomogeneous Gorenstein surface singularities, Compos. Math., 55 (1985), 269--288. MR799816 (87e:32013) Singularities of surfaces or higher-dimensional varieties, Modifications; resolution of singularities (complex-analytic aspects), Complete intersections, Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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) 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, Projective techniques in algebraic geometry, Computational aspects of higher-dimensional varieties, Effectivity, complexity and computational aspects of algebraic geometry, Multilinear algebra, tensor calculus, Vector and tensor algebra, theory of invariants
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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) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Bordism and cobordism theories and formal group laws in algebraic topology, Global theory and resolution of singularities (algebro-geometric aspects), Stable homotopy theory, spectra, Elliptic cohomology, Minimal model program (Mori theory, extremal rays)
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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) Rotthaus C.: On the approximation property of excellent rings. Invent. Math. 88, 39--63 (1987) Henselian rings, Regular local rings, Local cohomology 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) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory, Research exposition (monographs, survey articles) pertaining to difference and functional equations, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Painlevé-type functions, Difference equations in the complex domain, Birational automorphisms, Cremona group and generalizations, Global theory and resolution of singularities (algebro-geometric aspects), 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) Némethi, András; Nicolaescu, Liviu I., Seiberg--Witten invariants and surface singularities. II. Singularities with good \(\mathbb{C}^*\)-action, J. London Math. Soc. (2), 69, 3, 593-607, (2004) Complex surface and hypersurface singularities, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic 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) , A genelarization of the \Delta -genus of polarized varieties, J. Math. Soc. Japan 57 (2005), 1003-1044. Divisors, linear systems, invertible sheaves, Special surfaces, \(3\)-folds, \(n\)-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) Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings
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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. O. Orlov, Triangulated categories of singularities, and equivalences between Landau-Ginzburg models, Mat. Sb. 197 (2006), no. 12, 117 -- 132 (Russian, with Russian summary); English transl., Sb. Math. 197 (2006), no. 11-12, 1827 -- 1840. Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field 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) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Picard groups, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, 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) DOI: 10.1007/s002290050131 Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, Theta functions and abelian 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) Biswas I and Nagaraj D S, Parabolic ample bundles, II: Connectivity of zero locus of a class of sections,Topology 37 (1998) 781--789 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, 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) Lanteri, A.; Palleschi, M.; Sommese, A. J., Very ampleness of \(K_X \otimes \mathcal{L}^{\dim(X)}\) for ample and spanned line bundles \(\mathcal{L}\), Osaka J. Math., 26, 3, 647-664, (1989) 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) Y. Kawamata, Index one covers of log terminal surface singularities, J. Alg. Geom. 8 (1999), 519--527. Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Coverings 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) Ein, L.; Lazarsfeld, R.; Mustaţă, M.; Nakamaye, M.; Popa, M., Restricted volumes and base loci of linear series, Amer. J. Math., 131, 3, 607-651, (2009) Divisors, linear systems, invertible sheaves, Surfaces and 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) Divisors, linear systems, invertible sheaves, Local ground fields 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) Wang W.: Resolution of singularities of null cones. Can. Math. Bull. 44(4), 491--503 (2001) Classical groups (algebro-geometric aspects), Global theory and resolution of singularities (algebro-geometric aspects), 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) Geometric Langlands program: representation-theoretic aspects, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic)
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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) Libgober, A.; Tibăr, M.: Homotopy groups of complements and nonisolated singularities. Internat. math. Res. notices 17, 871-888 (2002) Singularities of differentiable mappings in differential topology, Singularities 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) Alberto Alzati and Gian Mario Besana, On the \?-regularity of some projective manifolds, Collect. Math. 49 (1998), no. 2-3, 149 -- 171. Dedicated to the memory of Fernando Serrano. Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Vanishing theorems 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) Grassmannians, Schubert varieties, flag manifolds, Syzygies, resolutions, complexes and commutative rings, Singularities of surfaces or higher-dimensional varieties, Linear algebraic groups over the reals, the complexes, the quaternions, 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) Arcs and motivic integration, Singularities in algebraic geometry, Nash functions and manifolds, Topology of real algebraic varieties, 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) Varieties and morphisms, Divisors, linear systems, invertible sheaves, 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) Equisingularity (topological and analytic), Noncommutative algebraic geometry, Group actions on varieties or schemes (quotients), Poisson manifolds; Poisson groupoids and algebroids
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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, 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) Harris, J.: Interpolation. In: Current Developments in Algebraic Geometry, vol. 59, pp. 165-176. Mathematical Sciences Research Institute Publications, Cambridge University Press, Cambridge (2012) 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) --------, On the minimal free resolution of some projective curves , Ann. Mat. Pura Appl., Plane and space curves, 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) Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Complex surface and hypersurface singularities, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\)), 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) H. Clemens, Curves on higher-dimensional complex projective manifolds, In: ``Proceedings of the International Congress of Mathematicians'', (2) 1 (Berkeley, Calif., 1986), 634-640. Zbl0682.14024 MR934266 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) DOI: 10.2969/jmsj/04920231 \(3\)-folds, 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) C. Eyral and M. Oka, Non-compact Newton boundary and Whitney equisingularity for non-isolated singularities, Adv. Math., 316 (2017), 94--113. Singularities of surfaces or higher-dimensional varieties, Equisingularity (topological and analytic), Hypersurfaces and algebraic geometry, 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), Rational and ruled surfaces, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, 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) Cheltsov, I.; Shramov, K., Weakly-exceptional singularities in higher dimensions, J. Reine Angew. Math., 689, 201-241, (2014) Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects)
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