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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. Harbourne, Complete linear systems on rational surfaces, Trans. Amer. Math. Soc., 289 (1985), no. 1, 213--226.Zbl 0609.14004 MR 0779061 Divisors, linear systems, invertible sheaves, Riemann-Roch theorems, Rational and unirational varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Caporaso L.: Brill-Noether theory of binary curves. Math. Res. Lett. 17(2), 243--262 (2010) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory)
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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, Multiplier ideals, Singularities in algebraic geometry, 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) 10.1007/s00013-005-1275-4 Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, Theta functions and abelian varieties, Projective techniques in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Salvati Manni, R.: Modular forms of the fourth degree. (Remark on a paper of Harris and Morrison). Proc. Conf., Trento/Italy 1990, Lect. Notes Math., vol. 1515, pp. 106--111 (1992) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Zelevinskiĭ, A. V.: Small resolutions of singularities of Schubert varieties. Funct. anal. Appl. 17, No. 2, 142-144 (1983) Global theory and resolution of singularities (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, (Co)homology theory in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Küronya, A.; Lozovanu, V., Infinitesimal Newton-Okounkov bodies and jet separation, (2015) Divisors, linear systems, invertible sheaves, Kähler manifolds, Convex sets in \(n\) dimensions (including convex hypersurfaces)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Multiplier ideals, Divisors, linear systems, invertible sheaves, 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) Blanco, R, Desingularization of binomial varieties in arbitrary characteristic. part II: combinatorial desingularization algorithm, Q. J. Math., 63, 771-794, (2012) Global theory and resolution of singularities (algebro-geometric aspects)
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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. Artin and M. Van den Bergh, ''Twisted homogeneous coordinate rings,''J. Algebra,133, No. 2, 249--271 (1990). Schemes and morphisms, Divisors, linear systems, invertible sheaves, Categories in geometry and topology, Relevant commutative algebra
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Terakawa, H., The \textit{k}-very ampleness and \textit{k}-spannedness on polarized abelian surfaces, Math. Nachr., 195, 1, 237-250, (1998) Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli of abelian varieties, classification, Embeddings in algebraic geometry
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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: 10.1016/j.crma.2006.11.033 Parametrization (Chow and Hilbert schemes), Group actions on varieties or schemes (quotients), Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Cohen-Macaulay modules, Rings arising from noncommutative algebraic geometry, Algebraic aspects of posets, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects)
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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. Halverson, C. Long and B. Sung, \textit{Algorithmic universality in F-theory compactifications}, \textit{Phys. Rev.}\textbf{D 96} (2017) 126006 [arXiv:1706.02299] [INSPIRE]. Special surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Topological properties in algebraic geometry
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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, 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) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Transcendental methods, Hodge theory (algebro-geometric aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Transcendental methods of algebraic geometry (complex-analytic aspects), Adjunction problems
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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, J-C; Tseng, H-H, A note on derived mckay correspondence, Math. Res. Lett., 15, 435-445, (2008) McKay correspondence, Stacks and moduli problems, Global theory and resolution of singularities (algebro-geometric aspects), Generalizations (algebraic spaces, stacks), Brauer groups of schemes
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fernández de Bobadilla, Javier; Luengo, Ignacio; Melle Hernández, Alejandro; Némethi, Andras, Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair.Real and complex singularities, Trends Math., 31-45, (2007), Birkhäuser, Basel Singularities of curves, local rings, Singularities in algebraic geometry, Complex surface and hypersurface singularities, Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects)
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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, Automorphisms of surfaces and higher-dimensional varieties, Group varieties, Group actions on varieties or schemes (quotients)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Włodarczyk, Maximal quasiprojective subsets and the Kleiman-Chevalley quasiprojectivity criterion, J. Math. Sci. Univ. Tokyo 6 pp 41-- (1999) Divisors, linear systems, invertible sheaves, Projective and enumerative algebraic geometry, Picard groups, (Equivariant) Chow groups and rings; motives
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Pouyanne, Nicolas: Une résolution en singularités toriques simpliciales des singularités-quotient de dimension trois. Ann. fac. Sci. Toulouse (6) 1, 363-398 (1992) \(3\)-folds, Singularities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fukuma, Y., Effective non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds, J. Pure Appl. Algebra, 215, 168-184, (2011) Divisors, linear systems, invertible sheaves, \(3\)-folds, Adjunction problems
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Ideals and multiplicative ideal theory in commutative rings, Integral closure of commutative rings and ideals, Structure, classification theorems for modules and ideals in commutative rings, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry
| 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, \(3\)-folds
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
| 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, Formal neighborhoods in algebraic geometry, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Birational geometry, Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Special surfaces
| 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) 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) Surfaces of general type, Divisors, linear systems, invertible sheaves, Adjunction problems, 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) doi:10.1090/S0002-9939-05-07859-7 Schemes and morphisms, \(3\)-folds, 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) Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Plane and space curves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Configurations and arrangements of linear subspaces, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Combinatorial aspects of commutative algebra, Sheaves in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Panazzolo, D., Desingularization of nilpotent singularities in families of planar vector fields, Mem. Am. Math. Soc., 158, (2002) Singularities of vector fields, topological aspects, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, Control problems involving ordinary differential equations, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Campillo, A.: Arithmetical aspects of saturation of singularities. Pol. Acad. Publ. 20, 121-137 (1988) Singularities of curves, local rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local rings and semilocal rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Zhao Hua Luo, Ramification divisor of regular schemes, Algebraic geometry and algebraic number theory (Tianjin, 1989 -- 1990) Nankai Ser. Pure Appl. Math. Theoret. Phys., vol. 3, World Sci. Publ., River Edge, NJ, 1992, pp. 77 -- 91. Regular local rings, Modules of differentials, Singularities in algebraic geometry, Schemes and morphisms
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Osamu Fujino, ``Fundamental theorems for the log minimal model program'', Publ. Res. Inst. Math. Sci.47 (2011) no. 3, p. 727-789 Minimal model program (Mori theory, extremal rays), Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Rosoff, J., Effective divisor classes and blowings-up of \(\mathbb P^2\), Pacific J. Math., 89, 2, 419-429, (1980) Divisors, linear systems, invertible sheaves, Rational and birational maps
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Del Centina A., Gimigliano A.: Scrollar invariants and resolutions of certain d-gonal curves. Ann. Univ. Ferrara Sez. VII Sc. Mat. XXXIX, 187--201 (1993) Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Elliptic curves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Milnor fibration; relations with knot theory, Local complex singularities, 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) Generalizations (algebraic spaces, stacks), Rational and birational maps, 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 S. Mori,Birational Geometry of Algebraic Varieties, Cambridge Univ. Press, to appear. \(3\)-folds, 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) 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) Heier, G; Ru, M, Essentially large divisors and their arithmetic and function-theoretic inequalities, Asian J. Math., 16, 387-407, (2012) Varieties over global fields, Heights, Divisors, linear systems, invertible sheaves, Arithmetic varieties and schemes; Arakelov theory; heights, Schmidt Subspace Theorem and applications, Value distribution theory in higher dimensions
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Teissier, B., \textit{Résultats récents sur l'approximation des morphismes en algèbre commutative (d'après André, Artin, Popescu, et spivakovsky)}, Séminaire Bourbaki, exposé n{\(\deg\)} 784, March 1994, 259-282, (1995), Société Mathématique de France, Paris Étale and flat extensions; Henselization; Artin approximation, Henselian rings, Projective and free modules and ideals in commutative rings, Morphisms of commutative rings, Local deformation theory, Artin approximation, 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) Collections of abstracts of lectures, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Kobayashi, R., Kähler-Einstein metrics on an open algebraic manifold, Osaka J. Math., 21, 399-418, (1984) Complex manifolds, Global differential geometry of Hermitian and Kählerian manifolds, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Geometric invariant theory, Local deformation theory, Artin approximation, 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) S. Ishii, ''Arcs, valuations and the Nash map,'' J. Reine Angew. Math., vol. 588, pp. 71-92, 2005. Singularities in algebraic geometry, Valuations and their generalizations for commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies, 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, Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Rational and ruled surfaces, Sheaves and cohomology of sections of holomorphic vector bundles, general results
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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, Complete intersections, 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) Plane and space curves, Hypersurfaces and algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, 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) History of algebraic geometry, Biographies, obituaries, personalia, bibliographies, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Coverings in algebraic geometry, Jacobian problem
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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.\ A. Chen and C.\ D. Hacon, On the irregularity of the image of the Iitaka fibration, Comm. Algebra 32 (2004), 203-215. Divisors, linear systems, invertible sheaves, Subvarieties of abelian varieties, Fibrations, degenerations in algebraic geometry, Rational and birational maps, Algebraic theory of 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) Rodrigues, B., Veys, W.: Poles of zeta functions on normal surfaces. Proc. London Math. Soc. 87, 164--196 (2003) 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), Singularities of surfaces or higher-dimensional varieties, 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) [2] Frédéric Campana &aThomas Peternell, &Algebraicity of the ample cone of projective varieties&#xJ. Reine Angew. Math.407 (1990), p.~160-MR~10 | &Zbl~0728. Divisors, linear systems, invertible sheaves, Real algebraic sets, 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) Li, Q, Pseudo-effective and nef cones on spherical varieties, Math. Z., 280, 945-979, (2015) Compactifications; symmetric and spherical varieties, 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) \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Holomorphic symplectic varieties, hyper-Kähler varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) 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) Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Picard groups, Lattices and convex bodies in \(2\) dimensions (aspects of discrete 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) González, V.; Rodríguez, R.: On automorphisms of curves and linear series, Aportaciones mat. Notas investigación 5, 101-105 (1992) Automorphisms of curves, Curves 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) V. Cossart, Uniformisation et désingularisation des surfaces d'apr` es Zariski, in Res- olution of singularities (Obergurgl, 1997), 239-258, Progr. Math., 181, Birkhäuser, Basel. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Other nonalgebraically closed 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) Fernandes, A., Soares Jr., C. H.: On the bi-Lipschitz triviality of families of real maps. In: Real and Complex Singularities. Contemp. Math., vol. 354, pp. 95--103. Amer. Math. Soc., Providence (2004) Real algebraic and real-analytic geometry, 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) Decker, W., Greuel, G.-M., Pfister, G., Schönemann, H.: \textsc{Singular} 3-1-6--A Computer Algebra System for Polynomial Computations. http://www.singular.uni-kl.de (2012) Global theory and resolution of singularities (algebro-geometric aspects), General commutative ring theory, 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) Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Picard groups, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Configurations and arrangements of linear subspaces, Syzygies, resolutions, complexes and commutative rings, Combinatorial aspects of matroids and geometric lattices
| 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) Kollár, J.: Moduli of varieties of general type. In: Farkas, G., Morrison, I. (eds.) Handbook of Moduli: Volume II. Advanced Lectures in Mathematics, vol.~24, pp. 131-158. International Press (2012). arXiv:1008.0621 Embeddings in algebraic geometry, Surfaces of general type, 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) Valuations and their generalizations for commutative rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Semigroup rings, multiplicative semigroups of 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) 2 A. Aizenbud and V. Drinfeld, 'The wave front set of the fourier transform of algebraic measures', \textit{Israel J. Math.}207 (2015) 527-580 (English). Local ground fields in algebraic geometry, Measures on groups and semigroups, etc., Global theory and resolution of singularities (algebro-geometric aspects), Fourier and Fourier-Stieltjes transforms on locally compact and other abelian 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) Dumnicki, Marcin; Harbourne, Brian; Küronya, Alex; Roé, Joaquim; Szemberg, Tomasz, Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata type conjecture, Comm. Anal. Geom., 25, 1, 125-161, (2017) Divisors, linear systems, invertible sheaves, Valuations and their generalizations for commutative rings, 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) \(3\)-folds, \(n\)-folds (\(n>4\)), 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 in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Polynomials in real and complex fields: location of zeros (algebraic theorems), Directed graphs (digraphs), tournaments
| 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) Walker, R. M., Uniform harbourne-huneke bounds via flat extensions Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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) Wiśniewski, JA, On contractions of extremal rays of Fano manifolds, J. Reine Angew. Math., 417, 141-157, (1991) Fano 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) Schmitz, D.; Seppänen, H., Global Okounkov bodies for Bott-Samelson varieties, J. Algebra, 490, 518-554, (2017) Grassmannians, Schubert varieties, flag manifolds, 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) Szemberg, T, An effective and sharp lower bound on Seshadri constants on surfaces with Picard number 1, J. Algebra, 319, 3112-3119, (2008) Divisors, linear systems, invertible sheaves, 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) Ciliberto, C., van~der Geer, G.: On the Jacobian of a hyperplane section of a surface. In: Classification of Irregular Varieties (Trento, 1990). Lecture Notes in Mathematics, vol. 1515, pp. 33-40, Springer, Berlin (1992) Jacobians, Prym varieties, Picard schemes, higher Jacobians, 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, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, 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) Ito, A.: Seshadri constants via toric degenerations. J. Reine Angew. Math. 10.1515/crelle-2012-0116 (2012, to appear) 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) Henaut A., Ann. Inst. Fourier Grenoble 37 pp 143-- (1987) Global theory and resolution of singularities (algebro-geometric aspects), Algebraic cycles, Local complex singularities, 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), Coadjoint orbits; nilpotent 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) Projective and free modules and ideals in commutative rings, Divisors, linear systems, invertible sheaves, Characteristic classes and numbers in differential topology, Algebraic cycles
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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, (Equivariant) Chow groups and rings; motives, Elliptic curves over local fields, Abelian varieties of dimension \(> 1\), Elliptic curves, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Polylogarithms and relations with \(K\)-theory
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings, Curves in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Walter, C., The minimal free resolution of the homogeneous ideal of \textit{s} general points in \(\mathbb{P}^4\), Math. Z., 219, 2, 231-234, (1995) Projective techniques in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), 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) Smith, K.-E.; Kahanpää, L.; Kekäläinen, P.; Traves, W., An invitation to algebraic geometry, (2000), Springer-Verlag New York Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Foundations of algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Affine geometry, Real algebraic and real-analytic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Brenner, H.; Schröer, S.: Ample families, multihomogeneous spectra, and algebraization of formal schemes. Pacific J. Math. (2001) Schemes and morphisms, Divisors, linear systems, invertible sheaves, Geometric invariant theory, Formal methods and deformations in algebraic geometry, 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) Hering, M.; Küronya, A.; Payne, S., Asymptotic cohomological functions of toric divisors, Adv. Math., 207, 2, 634-645, (2006) Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Local cohomology 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) Frühbis-Krüger, Anne: An application of resolution of singularities: computing the topological \({\zeta}\)-function of isolated surface singularities in (C3,0), Singularity theory (2007) Computational aspects 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) D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980), no. 1, 35-64. Homological methods in commutative ring theory, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Complete intersections, 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) DeWolfe, O., Giryavets, A., Kachru, S., Taylor, W.: Enumerating flux vacua with enhanced symmetries. JHEP \textbf{0502}, 037 (2005). hep-th:0411061 Calabi-Yau manifolds (algebro-geometric aspects), 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) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Noncommutative 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) [tDP] T. tom Dieck, T. Petrie. Homology planes: An announcement and survey. In:Topological methods in algebraic transformation groups, Progress in Mathem. 80,Birkhäuser, Boston e.a., 1989, 27--48 Special surfaces, Birational automorphisms, Cremona group and generalizations, 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) V. Lakshmibai, V. B. Mehta, A. J. Parameswaran, Frobenius splittings and blow-ups, J. Algebra 208 (1998), no. 1, 10128. Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Formal methods and deformations in algebraic geometry, Grassmannians, Schubert varieties, flag 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) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Regular local rings, Curves in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) 10.14231/AG-2016-010 Embeddings in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) A. Broustet, Non-annulation effective et positivité locale des fibrés en droites amples adjoints, Math. Ann. 343 (2009), no. 4, 727--755. Divisors, linear systems, invertible sheaves, Rational and birational maps, Minimal model program (Mori theory, extremal rays), \(3\)-folds, \(n\)-folds (\(n>4\)), Fano 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) Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Simplicial sets and complexes in algebraic topology
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Neto ( O. ) .- Equisingularity and Legendrian curves , Bull. London Math. Soc. 33, p. 527 - 534 ( 2001 ). MR 1844549 | Zbl 1032.58028 Topological invariants on manifolds, Singularities in algebraic geometry, Equisingularity (topological and analytic)
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