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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/BF00147460 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) Zariski, O.: M.artind.mumfordcollected papers, vol. II. Collected papers, vol. II (1973) Foundations of algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Conference proceedings and collections of articles, Divisors, linear systems, invertible sheaves, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Riemann-Roch theorems
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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)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Andrew Kresch, ``Canonical rational equivalence of intersections of divisors'', Invent. Math.136 (1999) no. 3, p. 483-496 (Equivariant) Chow groups and rings; motives, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Birbrair L., Fernandes A., Neumann W.D.: Bi-Lipschitz geometry of complex surface singularities. Geom. Dedicata, 139, 259--267 (2009) Equisingularity (topological and analytic), Singularities of surfaces or higher-dimensional varieties, Local complex singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants
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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), 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) Pareschi, Giuseppe, A proof of Lazarsfeld's theorem on curves on \(K3\) surfaces, J. Algebraic Geom., 4, 1, 195-200, (1995) Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, Infinitesimal methods in algebraic geometry
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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.Wolper, Some intersection properties of the fibres of Springer's resolution, Proc. Am. Math. Soc. 91 (1984), 182--188. Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Payne S.: Stable base loci, movable curves, and small modifications, for toric varieties. Math. Z. 253(2), 421--431 (2006) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Mehta, V. B.; Subramanianm, S.: Nef line bundles which are not ample. Math. zeit. 219, 235-244 (1995) 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) A. D. R. Choudary and A. Dimca, On the dual and Hessian mappings of projective hypersurfaces , Math. Proc. Cambridge Philos. Soc. 101 (1987), no. 3, 461-468. Singularities in algebraic geometry, Projective techniques in algebraic geometry, Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Global theory and resolution of singularities (algebro-geometric aspects), Complex singularities, Singularities of surfaces or higher-dimensional varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fujino, O., Higher direct images of log canonical divisors, J. Differ. Geom., 66, 453-479, (2004) Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Chiang, L.; Roan, S. -S.: Crepant resolutions of \(Cn/A1(n)\) and flops of n-folds for n=4,5, Fields inst. Commun. 38, 27-41 (2003) Homogeneous spaces and generalizations, Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Parametrization (Chow and Hilbert schemes)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Losev, A., Nekrasov, N., Shatashvili, S.: \textit{Testing Seiberg-Witten solution}. In: Strings, branes and dualities (Cargèse, 1997), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. \textbf{520}. Dordrecht: Kluwer Acad. Publ., 1999, pp. 359-372 Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Deformations of singularities, Formal methods and deformations in algebraic geometry, Special surfaces, Singularities of surfaces or higher-dimensional varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) [CGO]Cossart, V., Giraud, J. \&Orbanz, U.,Resolutions of Surface Singularities. Lecture Notes in Math., 1101. Springer-Verlag, Berlin-New York, 1984. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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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. H. Van Lint, ''Algebraic Geometric Codes,'' preprint. Other types of codes, Computational aspects of algebraic curves, Curves in algebraic geometry, Divisors, linear systems, invertible sheaves, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Riemann-Roch theorems
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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., Kato T.: Non-trivial linear systems on smooth plane curves. Math. Nachr. 166, 71--82 (1994) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Ballico E.,On the minimal free resolution of s points in P 3, Rend. Circolo Mat. Palermo37 (1988), 431--443. Global theory and resolution of singularities (algebro-geometric aspects), Projective techniques in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Taalman, L., The Nash sheaf of a complete resolution, Manuscr. Math., 106, 249-270, (2001) Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fujita, T., \textit{Classification Theories of Polarized Varieties}, 155, (1990), Cambridge University Press, Cambridge (UK) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(3\)-folds, Projective techniques in algebraic geometry, Families, moduli, classification: algebraic theory
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Complex surface and hypersurface singularities, Global theory and resolution of singularities (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) V.COSSARTand O.PILTANT,\textit{Resolution of singularities of threefolds in positive characteristic I}: \textit{Reduction to local uniformization on Artin-Schreier and purely inseparable coverings}, J. Algebra 320 (2008), no. 3, 1051--1082. http://dx.doi.org/10.1016/j.jalgebra.2008.03.032.MR2427629 Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, \(3\)-folds, Ramification problems in algebraic geometry, Rational and birational maps
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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 invariant theory, Divisors, linear systems, invertible sheaves, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), 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) Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.2996/kmj/1138043548 Divisors, linear systems, invertible sheaves, \(3\)-folds, 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) Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, \(3\)-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) Class field theory; \(p\)-adic formal groups, Regular local rings, Formal power series rings, Formal groups, \(p\)-divisible 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) Ishida, M.-N.: Cusp singularities given by stellable cones. Int. J. Math.2, 635--657 (1991) Singularities in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Artin, E.: Supersingular K3 surfaces. Ann. Sci. École Norm Sup. (4\(^e\) Serie) \textbf{7}, 543-568 (1974) Vanishing theorems in algebraic geometry, Families, fibrations in algebraic geometry, Divisors, linear systems, invertible sheaves, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Surfaces and higher-dimensional varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Marc Coppens and Takao Kato, The gonality of smooth curves with plane models, Manuscripta Math. 70 (1990), no. 1, 5 -- 25. , https://doi.org/10.1007/BF02568358 Marc Coppens and Takao Kato, Correction to: ''The gonality of smooth curves with plane models'', Manuscripta Math. 71 (1991), no. 3, 337 -- 338. Divisors, linear systems, invertible sheaves, Singularities of curves, local rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Real algebraic sets, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, Klein 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) Multiplicity theory and related topics, 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) Paramasamy, K.: Cohomology of line bundles on Schubert varieties: the rank two case, Proc. indian acad. Sci. 114, No. 4, 345-363 (2004) Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Classical groups (algebro-geometric aspects)
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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, P, Categorical resolutions of a class of derived categories, Sci China Math, 61, 391-402, (2018) Global theory and resolution of singularities (algebro-geometric aspects), Representations of associative Artinian rings, Cohen-Macaulay modules in associative algebras, Relative homological algebra, projective classes (category-theoretic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Deformations of complex singularities; vanishing cycles, Modifications; resolution of singularities (complex-analytic aspects)
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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 linear algebra, Determinants, permanents, traces, other special matrix functions, Products, amalgamated products, and other kinds of limits and colimits, Divisors, linear systems, invertible sheaves, Proof theory in general (including proof-theoretic semantics)
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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, Global theory and resolution of singularities (algebro-geometric aspects), Determinantal varieties, 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) Kollár, J.; Shepherd-Barron, NI, Threefolds and deformations of surface singularities, Invent. Math., 91, 299-338, (1988) Singularities of surfaces or higher-dimensional varieties, Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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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. D. Hacon, On the degree of the canonical maps of \(3\)-folds, Proc. Japan Acad. Ser. A Math. Sci. 80 (2004), no. 8, 166--167. \(3\)-folds, 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) J. Bryan and T. Graber, ``The crepant resolution conjecture'' in Algebraic Geometry--Seattle 2005, Part 1, Proc. Sympos. Pure Math. 80, Amer. Math. Soc., Providence, 2009, 23--42. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) A. Lanteri-M. Palleschi, About the adjunction process for polarized algebraic surfaces Jour, für di Reine und Angew. Math.352 (1984), p 15-23 Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities 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) Marc Coppens, Changho Keem, and Gerriet Martens, The primitive length of a general \?-gonal curve, Indag. Math. (N.S.) 5 (1994), no. 2, 145 -- 159. 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) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Grothendieck groups, \(K\)-theory, etc., Regular local rings, 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) Chen, H., Seeley, C., Yau, S.S.-T.: Algebraic determination of isomorphism classes of the moduli algebras of \$\(\backslash\)tilde\{E\}\_\{6\}\$ singularities. Math. Ann. 318, 637--666 (2000) Equisingularity (topological and analytic), Infinitesimal methods in algebraic geometry, Commutative Artinian rings and modules, finite-dimensional algebras, Classification; finite determinacy of map germs
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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, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, 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) [Y] Kunrui Yu,Linear forms in elliptic logarithms, J. Number Theory20 (1985), 1--69. Algebraic independence; Gel'fond's method, Elliptic curves, Group varieties, 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) Z. Li, L. Zhang, Modular forms and special cubic fourfolds. Adv. Math. 245, 315--326 (2013) Modular and automorphic functions, \(4\)-folds, 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) A. Lanteri and C. Turrini, Projective threefolds of small class, Abh. Math. Sem. Univ. Hamburg 57 (1987), 103--117. \(3\)-folds, Topological properties 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) Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, \(3\)-folds, \(4\)-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) Global theory and resolution of singularities (algebro-geometric aspects), Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Rational and birational maps, Computational aspects of 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) Markushevich, D.G., Tikhomirov, A.S.: A parametrization of the theta divisor of the quartic double solid. Int. Math. Res. Not. \textbf{2003}(51), 2747-2778 (2003) Picard schemes, higher Jacobians, \(3\)-folds, Fano varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Sheaves 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) Herwig Hauser and Georg Regensburger, Explizite Auflösung von ebenen Kurvensingularitäten in beliebiger Charakteristik, Enseign. Math. (2) 50 (2004), no. 3-4, 305 -- 353 (German). Plane and space curves, Singularities of curves, local rings, 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) Ciliberto, Ciro; Farnik, Michal; Küronya, Alex; Lozovanu, Victor; Roé, Joaquim; Shramov, Constantin, Newton--Okounkov bodies sprouting on the valuative tree, Rend. Circ. Mat. Palermo (2), 66, 2, 161-194, (2017) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Valuations and their generalizations for 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) Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Fibrations, degenerations in algebraic geometry, Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory), Projective techniques in algebraic geometry, Abelian varieties of dimension \(> 1\)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Elizondo, E. J., The ring of global sections of multiples of a line bundle on a toric variety, Proc. Am. Math. Soc., 125, 9, 2527-2529, (1997) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Grassmannians, Schubert varieties, flag manifolds, 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) \(3\)-folds, 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, Families, moduli, classification: algebraic theory, 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) Akbulut S., King H.: A resolution theorem for homology cycles of real algebraic varieties. Invent. Math. 79, 589--601 (1985) Real algebraic and real-analytic geometry, Realizing cycles by submanifolds, 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) C. Galati and A. L. Knutsen, Seshadri constants of K3 surfaces of degrees 6 and 8, Int. Math. Res. Notices IMRN (2013), 4072-4084. Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques 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) BRIVIO S.--LANTERI A. On complex projective surfaces with trigonal hyperplane sections. Preprint Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, \(n\)-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) Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, 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, \(4\)-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) Minimal model program (Mori theory, extremal rays), \(3\)-folds, Divisors, linear systems, invertible sheaves, Birational automorphisms, Cremona group 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) Y. Fukuma, A lower bound for sectional genus of quasi-polarized manifolds, II, preprint, http://www.math.kochi-u.ac.jp/fukuma/preprint.html Zbl0899.14003 MR1601389 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) Monnier J.-Ph.: On real generalized Jacobian varieties. J. Pure Appl. Algebra 203, 252--274 (2005) Topology of real algebraic 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) Herwig Hauser, Seven short stories on blowups and resolutions, Proceedings of Gökova Geometry-Topology Conference 2005, Gökova Geometry/Topology Conference (GGT), Gökova, 2006, pp. 1 -- 48. 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) Singularities of surfaces or higher-dimensional varieties, 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) S. Tsuboi: Cubic hyper-equisingular families of complex projective varieties. I. Proc. Japan Acad., 71A, 207-209 (1995). Mixed Hodge theory of singular varieties (complex-analytic aspects), Equisingularity (topological and analytic), Variation of Hodge structures (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, Compact Kähler manifolds: generalizations, classification
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Encinas, S. and Hauser, H.: Strong resolution of singularities in characteristic zero. Comment. Math. Helv. 77 (2002), no. 4, 821-845. Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, 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) Reichstein, Z.; Youssin, B.: A non-split torsor with trivial fixed point obstruction. J. algebra 263, No. 2, 255-261 (2003) Group actions on varieties or schemes (quotients), Geometric invariant theory, Linear algebraic groups over arbitrary fields, Global theory and resolution of singularities (algebro-geometric aspects), 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) Martinelli, D; Nakamura, Y; Witaszek, J, On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field, Algebra Number Theory, 9, 725-747, (2015) Minimal model program (Mori theory, extremal rays), 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) B. Nanayakkara, Terminal resolutions of Brauer pairs, PhD thesis, University of New Brunswick, 2010. Brauer groups of schemes, Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), 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) Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Singularities of surfaces or higher-dimensional varieties, Birational geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) I. NAKAMURA, On surfaces of class VII0 with curves, Proc. Japan Acad. Ser. A 58 (1982), 380-38 (1982); II 62 (1986), 406-409. Moduli, classification: analytic theory; relations with modular forms, Compact complex surfaces, 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) Bocci, C, Special effect varieties and \((-1)\)-curves, Rocky Mt. J. Math., 40, 397-419, (2010) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Singularities of curves, local rings, Interpolation in approximation 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) Coverings of curves, fundamental group, Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Divisors, linear systems, invertible sheaves, Curves over finite and local fields, Exponential sums and character sums
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Szendröi, B., On the ample cone of an ample hypersurface, Asian J. Math., 7, 001, (2003) Divisors, linear systems, invertible sheaves, 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) Araujo C.: The cone of pseudo-effective divisors of log varieties after Batyrev. Math. Z., 264(1), 179--193 (2010) Divisors, linear systems, invertible sheaves, 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) \textsc{D. Eisenbud and B. Ulrich}, The regularity of the conductor, In: A Celebration of Algebraic Geometry, 267-280 Clay Math. Proc., vol. 18, Amer. Math. Soc., Providence, RI, 2013. Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Algebraic moduli problems, moduli of vector bundles, Coverings of curves, fundamental group
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Hideyasu Sumihiro, Determinantal varieties associated to rank two vector bundles on projective spaces and splitting theorems, Hiroshima Math. J. 29 (1999), no. 2, 371 -- 434. Determinantal varieties, Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Surfaces of general type, \(3\)-folds, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, 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) Semialgebraic sets and related spaces, Equisingularity (topological and analytic), Modifications; resolution of singularities (complex-analytic aspects), Singularities of differentiable mappings in differential topology, Nash functions and manifolds
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Roy Smith and Robert Varley, Components of the locus of singular theta divisors of genus 5, Algebraic geometry, Sitges (Barcelona), 1983, Lecture Notes in Math., vol. 1124, Springer, Berlin, 1985, pp. 338 -- 416. Theta functions and abelian varieties, Algebraic moduli of abelian varieties, classification, 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: 10.1007/BF01450836 Vanishing theorems, Transcendental methods, Hodge theory (algebro-geometric aspects), Holomorphic bundles and generalizations, 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) Cornalba, M; Harris, J, Divisor classes associated to families of stable varieties, with applications to the moduli space of curves, Ann. Sci. École Norm. Sup. (4), 21, 455-475, (1988) Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Miyanishi, M.; Robbiano, L.; Sui Sheng Wang, S., A brief proof of Jacobian hypothesis implies flatness, Proc. amer. math. soc., 109, 2, 327-330, (1990) Polynomial rings and ideals; rings of integer-valued polynomials, Injective and flat modules and ideals in commutative rings, Local structure of morphisms in algebraic geometry: étale, flat, etc., 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) Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps, Singularities in algebraic geometry, Morphisms of 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) Zeta functions and \(L\)-functions, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Global theory and resolution of singularities (algebro-geometric aspects), Other Dirichlet series and zeta functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry, 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) Katz D., Comm. Algebra 22 pp 721-- (1994) Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Singularities in algebraic geometry, 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) Andreatta, M.; Wiśniewski, JA, 4\textit{-dimensional symplectic contractions}, Geom. Dedicata, 168, 311-337, (2014) Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), 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) Sturmfels, B.: Toric ideals. Lecture notes (1994) Toric varieties, Newton polyhedra, Okounkov bodies, \(4\)-folds, 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) Ambro, F., A semiampleness criterion, J. Math. Sci. Univ. Tokyo, 12, 445-466, (2005) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays)
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