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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fano varieties, Minimal model program (Mori theory, extremal rays), 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) Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Special surfaces, Divisors, linear systems, invertible sheaves, Picard groups, 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) M. Lejeune , Sur l'équivalence des singularités des courbes algébroïdes planes . Coefficients de Newton. Thèse. Singularities in algebraic geometry, Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Finite ground fields in algebraic geometry, Analytic subsets of affine space
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Dennis S. Keeler, Criteria for \?-ampleness, J. Amer. Math. Soc. 13 (2000), no. 3, 517 -- 532. Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Automorphisms of surfaces and higher-dimensional varieties, Rings arising from 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) Kaledin, D., \textit{symplectic singularities from the Poisson point of view}, J. reine angew. Math., 600, 135-156, (2006) Poisson manifolds; Poisson groupoids and algebroids, 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) Brian Harbourne, ``Anticanonical rational surfaces'', Trans. Am. Math. Soc.349 (1997) no. 3, p. 191-1208 Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Rational and unirational 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) Ballico E.,Trigonal Gorenstein curves and special linear systems, Israel J. Math.,119 (2000), 143--155. Special divisors on curves (gonality, Brill-Noether theory), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) C. Raicu, Representation stability for syzygies of line bundles on Segre-Veronese varieties, arXiv:1209.1183 (2012). Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Combinatorial aspects of representation theory, Simplicial sets and complexes in algebraic topology, 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) Global theory and resolution of singularities (algebro-geometric aspects), Compact complex \(3\)-folds, Singularities in algebraic geometry, Local complex singularities, Toric varieties, Newton polyhedra, Okounkov bodies, Real algebraic and real-analytic 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) Configurations and arrangements of linear subspaces, Divisors, linear systems, invertible sheaves, Relations with arrangements of hyperplanes
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) D. Morrison, ''The biratioanl geometry of surfaces with ratiional double points,''Math. Ann.,271, 415--438 (1985). Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps, Singularities of surfaces or higher-dimensional varieties, \(3\)-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) Fujita, T., Approximating Zariski decomposition of big line bundles, \textit{Kodai Math. J.}17 ( 1994), no. 1, 1- 3. 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) Brasselet, J-P; Schürmann, J.; Yokura, S., Hirzebruch classes and motivic Chern classes for singular spaces, J. Topol. Anal., 2, 1-55, (2010) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Riemann-Roch theorems, Global theory and resolution of singularities (algebro-geometric aspects), Global theory of complex singularities; cohomological properties, 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) Fibrations, degenerations in algebraic geometry, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Questions of classical 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) Ragnar-Olaf Buchweitz and David Mond, Linear free divisors and quiver representations, Singularities and computer algebra, London Math. Soc. Lecture Note Ser., vol. 324, Cambridge Univ. Press, Cambridge, 2006, pp. 41 -- 77. Formal methods and deformations in algebraic geometry, Representations of quivers and partially ordered sets, Deformation of singularities, Divisors, linear systems, invertible sheaves, Actions of groups on commutative rings; invariant theory
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) O. Fujino, \textit{Semipositivity theorems for moduli problems}, preprint, arXiv:1210.5784v2 [math.AG] (2012). Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Local theory in algebraic geometry, 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) M. Chen, Weak boundedness theorems for canonically fibered Gorenstein minimal \(3\)-folds, Proc. Amer. Math. Soc. 133 (2005), no. 5, 1291--1298. 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) Failla, G., Lahyane, M., Molica Bisci, G.: On the finite generation of the monoid of effective divisor classes on rational surfaces of type (\textit{n}, \textit{m}). Atti Accademia Peloritana Pericolanti Cl. Sci. Fis., Mat. Natur. LXXXIV (2006). https://doi.org/10.1478/C1A0601001 Rational and ruled 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) Lahyane, Mustapha; Harbourne, Brian, Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid, Pacific J. Math., 218, 1, 101-114, (2005) Rational and ruled 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) A. Dimca G. Sticlaru Free and nearly free surfaces in P 3 Hypersurfaces and algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Computational homological algebra, Divisors, linear systems, invertible sheaves, Relations with arrangements of hyperplanes
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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, General valuation theory for fields, Complete rings, completion, 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) Ciro Ciliberto, Joe Harris, and Montserrat Teixidor i Bigas, On the endomorphisms of \?\?\?(\?\textonesuperior _{\?}(\?)) when \?=1 and \? has general moduli, Classification of irregular varieties (Trento, 1990) Lecture Notes in Math., vol. 1515, Springer, Berlin, 1992, pp. 41 -- 67. Jacobians, Prym varieties, Families, moduli of curves (algebraic), Picard schemes, higher Jacobians, 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) D. Kaledin, ''Derived equivalences by quantization,'' Geom. Funct. Anal., vol. 17, iss. 6, pp. 1968-2004, 2008. Global theory and resolution of singularities (algebro-geometric aspects), Poisson manifolds; Poisson groupoids and algebroids, Deformation quantization, star products, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure
| 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. Cacciola, M. Donten-Bury, O. Dumitrescu, A. Lo Giudice, and J. Park, Cones of divisors of blow-ups of projective spaces, Matematiche (Catania) 66 (2011), no. 2, 153 -- 187. Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Spindler, H., Trautmann, G.: Rational normal curves and the geometry of special instanton bundles on \$\$\{\(\backslash\)mathbb\{P\}\^\{2n+1\}\}\$\$ . Math. Gottingensis 18 (1987) Constructive quantum field theory, Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Grassmannians, Schubert varieties, flag manifolds
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Villamayor, O.: Differential operators on smooth schemes and embbeded singularities. Rev. Un. Mat. Argentina 46 (2005), no. 2, 1-18. 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) Projective techniques in algebraic geometry, 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) Divisors, linear systems, invertible sheaves, \(3\)-folds, \(4\)-folds, \(n\)-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) Transcendental methods of algebraic geometry (complex-analytic aspects), 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) Andersen, Henning Haahr: Cohomology of line bundles, Algebraic groups and homogeneous spaces, 13-36 (2007) Grassmannians, Schubert varieties, flag manifolds, Vanishing theorems in algebraic geometry, Group actions on varieties or schemes (quotients), 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) Rational and birational maps, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Singularities in algebraic geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.1002/mana.3211800105 Divisors, linear systems, invertible sheaves, 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) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Biswas, I.; Seshadri, H., On the Kähler structures over quot schemes II, Ill. J. math., 58, 689-695, (2014) Divisors, linear systems, invertible sheaves, Computational aspects of algebraic curves, Positive curvature complex manifolds, Vector bundles on curves and their moduli, Parametrization (Chow and Hilbert schemes)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.4310/PAMQ.2011.v7.n4.a16 Divisors, linear systems, invertible sheaves, Fibrations, degenerations in algebraic geometry, Variation of Hodge structures (algebro-geometric aspects), de Rham cohomology and algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Cassou-Noguès, P., Veys, W.: Newton trees for ideals in two variables and applications. Proc. Lond. Math. Soc. (3) 108(4), 869-910 (2014) Structure, classification theorems for modules and ideals in commutative rings, Singularities in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects), Integral closure of commutative rings and ideals, Global theory and resolution of singularities (algebro-geometric aspects), Formal power series 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) Aldo Biancofiore, Maria Lucia Fania, and Antonio Lanteri, Polarized surfaces with hyperelliptic sections, Pacific J. Math. 143 (1990), no. 1, 9 -- 24. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Elliptic curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Families, moduli of curves (algebraic), Surfaces and higher-dimensional 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) Divisors, linear systems, invertible sheaves, Elliptic curves, Complex multiplication and abelian varieties
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Franciosi, M.; Tenni, E., Green's conjecture for binary curves Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Singularities of curves, local rings, Surfaces and higher-dimensional varieties
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Y. Namikawa, \textit{Birational geometry of symplectic resolutions of nilpotent orbits}, in \textit{Moduli spaces and arithmetic geometry}, vol. 45 of \textit{Adv. Stud. Pure Math.}, Math. Soc. Japan, Tokyo, Japan (2006), pp. 75 [math/0404072]. Global theory and resolution of singularities (algebro-geometric aspects), Group actions on varieties or schemes (quotients), Simple, semisimple, reductive (super)algebras
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Proceedings of conferences of miscellaneous specific interest, Festschriften, Proceedings, conferences, collections, etc. pertaining to commutative algebra, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Polynomials and finite commutative rings, Commutative rings and modules of finite generation or presentation; number of generators, Polynomial rings and ideals; rings of integer-valued polynomials, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Surfaces and higher-dimensional varieties, Affine 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) D'Souza, H., Threefolds whose hyperplane sections are elliptic surfaces, Pac. J. Math., 134, 57-78, (1988) \(3\)-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) DOI: 10.5802/aif.1670 Divisors, linear systems, invertible sheaves, Homotopy theory and fundamental groups in algebraic geometry, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Vanishing theorems, Coverings in algebraic geometry, Transcendental methods of algebraic geometry (complex-analytic 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) Rubei E.: A note on property N p . Manuscr. Math. 101, 449--455 (2000) Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Ein L., Lazarsfeld R., Mustaţă M., Nakamaye M., Popa M., Asymptotic invariants of line bundles, Pure Appl. Math. Q., 2005, 1(2), Special Issue: In memory of Armand Borel. I, 379--403 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), Arcs and motivic integration, 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) Aspinwall, P. S.: A mckay-like correspondence for (0,2)-deformations String and superstring theories; other extended objects (e.g., branes) in quantum field theory, McKay correspondence, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Parametrization (Chow and Hilbert schemes), Deformations of singularities, Topology and geometry of orbifolds, Representations of quivers and partially ordered sets, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Blow-up in context of PDEs
| 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) Coverings of curves, fundamental group, Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Roé, Joaquim, Local positivity in terms of Newton--Okounkov bodies, (2015) Divisors, linear systems, invertible sheaves, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Adjunction problems, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Biagio, L. di and Pacienza, G., Restricted volumes of effective divisors, \textit{Bull. Soc. Math. France}144 ( 2016), no. 2, 299- 337. Divisors, linear systems, invertible sheaves, Multiplier ideals
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Coppo, M. -A.: Familles maximales de systèmes de points surabondants dans P2. Math. ann. 291, 725-735 (1991) Projective techniques in algebraic geometry, Parametrization (Chow and Hilbert schemes), 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) Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Singularities of curves, local rings, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) A. Calabri - R. Ferraro, Explicit resolutions of double point singularities of surfaces, Collect. Math. 53 (2002), 99--131. Singularities of surfaces or higher-dimensional varieties, Complex surface and hypersurface singularities, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) V. Alexeev and C. D. Hacon, ''Non-rational centers of log canonical singularities,'' J. Algebra, vol. 369, pp. 1-15, 2012. Singularities in 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) [S] Strømme, S.A.: Ample divisors on fine moduli spaces on the projective plane. Math. Z.187, 405--423 (1984) Divisors, linear systems, invertible sheaves, Fine and coarse moduli spaces, Characteristic classes and numbers in differential topology
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Gert-Martin Greuel and Eugenii Shustin, Geometry of equisingular families of curves, Singularity theory (Liverpool, 1996) London Math. Soc. Lecture Note Ser., vol. 263, Cambridge Univ. Press, Cambridge, 1999, pp. xvi, 79 -- 108. Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic), Plane and space curves, Topology of real algebraic varieties
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) \textsc{M. Coppens, } Linear series on \(4\)-gonal curves, Math. Nachr. \textbf{213} (2000), 35-55. Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Riemann surfaces; Weierstrass points; gap sequences, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) de Rham cohomology and algebraic geometry, Divisors, linear systems, invertible sheaves, Relations with arrangements of hyperplanes
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Algebraic cycles, Transcendental methods of algebraic geometry (complex-analytic 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) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Theta functions and abelian varieties, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic ground fields for abelian varieties, Divisors, linear systems, invertible sheaves, Étale and other Grothendieck topologies and (co)homologies, Theta functions and curves; Schottky problem, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Finite ground fields 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) Alberich-Carramiñana, M.; Fernández-Sánchez, J.: Equisingularity classes of birational projections of normal singularities to a plane, Adv. math. 216, 753-770 (2007) Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Regular local rings
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Lin, H.-W., Combinatorial method in adjoint linear systems on toric varieties, Michigan Math. J., 51, 491-501, (2003) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Dao, H., Iyama, O., Takahashi, R., Vial, C.: Non-commutative resolutions and Grothendieck groups. J. Noncommut. Geom. \textbf{9}(1), 21-34 (2015) Grothendieck groups, \(K\)-theory and commutative rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Representations of orders, lattices, algebras over commutative rings, Homological dimension (category-theoretic 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) Lee, Y., Numerical bounds for degenerations of surfaces of general type, International Journal of Mathematics, 10, 79-92, (1999) Global theory and resolution of singularities (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Surfaces of general type, Minimal model program (Mori theory, extremal rays)
| 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) K. Suzuki, ``On Fano indices of \(\mathbf{Q}\)-Fano 3-folds'', Manuscripta Math., 114:2 (2004), 229 -- 246 Fano varieties, 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) 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) Galois theory, Ramification and extension theory, Varieties over finite and local fields, Global theory and resolution of singularities (algebro-geometric aspects), McKay correspondence
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Seade, José, On the topology of isolated singularities in analytic spaces, Progress in Mathematics 241, xiv+238 pp., (2006), Birkhäuser Verlag, Basel Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Global theory of complex singularities; cohomological properties, Global theory and resolution of singularities (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Computational aspects of higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.1216/RMJ-2011-41-1-299 Local cohomology and commutative rings, Regular local rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Local cohomology and algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Vector bundles on curves and their moduli, Riemann surfaces; Weierstrass points; gap sequences, 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, \(4\)-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) Pokora, P.; Tutaj-Gasińska, H., Harbourne constants and conic configurations on the projective plane, Math. Nachr., 289, 888-894, (2016) 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) Syzygies, resolutions, complexes and commutative rings, Homological conjectures (intersection theorems) in commutative ring theory, Local cohomology and commutative rings, Global theory and resolution of singularities (algebro-geometric aspects), Multiplier ideals
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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. T. Stafford and M. Van den Bergh, Noncommutative resolutions and rational singularities, Michigan Math. J. 57 (2008), 659-674. Special volume in honor of Melvin Hochster. Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Homological dimension (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) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Toric varieties, Newton polyhedra, Okounkov bodies, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Special surfaces, Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.), 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) (Equivariant) Chow groups and rings; motives, 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) de Fernex, T.; Küronya, A.; Lazarsfeld, R., Higher cohomology of divisors on a projective variety, Math. Ann., 337, 443-455, (2007) Divisors, linear systems, invertible sheaves, (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) Andreatta, M., Mella, M.: Contractions on a manifold polarized by an ample vector bundle. Trans. AMS 349, 4669--4683 (1997) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), \(n\)-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) Bezrukavnikov, R.; Finkelberg, M.; Ginzburg, V., Cherednik algebras and Hilbert schemes in characteristic \textit{p}, Represent. Theory, 10, 254-298, (2006), with an appendix by Pavel Etingof Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Associative rings and algebras arising under various constructions
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Henry, J. P. G., & Merle, M. (1987). Complexity of computation of embedded resolution of algebraic curves. In J. H. Davenport (Ed.),\textit{Lecture notes in computer science 378}, \textit{EUROCAL '87} (pp. 381-390). New York: Springer. Software, source code, etc. for problems pertaining to algebraic geometry, Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Symbolic computation and algebraic computation
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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.: Effective freeness of adjoint line bundles. Doc. Math. 7, 31--42 (2002) Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry, 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) Arithmetic ground fields for curves, Divisors, linear systems, invertible sheaves, Finite 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) --, On special linear systems on curves.Comm. in Algebra 18 (1990), 279--284. Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.4134/JKMS.2007.44.1.035 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles, Symplectic structures of moduli spaces, \(K3\) surfaces and Enriques surfaces, 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) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Schemes and morphisms, Divisors, linear systems, invertible sheaves, Sheaves in algebraic geometry, Group schemes, Determinantal varieties, Group actions on varieties or schemes (quotients), 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) Algebraic cycles, Formal neighborhoods in algebraic geometry, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) S. Zucker, Intermediate Jacobians and normal functions , Topics in Transcendental Algebraic Geometry (Princeton, N.J., 1981/1982), Ann. of Math. Stud., vol. 106, Princeton University Press, Princeton, NJ, 1984, pp. 259-267. Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Transcendental methods of algebraic geometry (complex-analytic aspects), Picard schemes, higher Jacobians
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Tutaj-Gasińska, H.: Embeddings of blown-up plane. Geom. dedicata. 76, 165-175 (1999) 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) Global theory of symplectic and contact manifolds, Symplectic manifolds (general theory), Divisors, linear systems, invertible sheaves, Symplectic field theory; contact homology, Differential geometry of immersions (minimal, prescribed curvature, tight, 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) J.\ A. Chen, O. Debarre and Z. Jiang, Varieties with vanishing holomorphic Euler characteristic, J. reine angew. Math. 691 (2014), 203-227. Divisors, linear systems, invertible sheaves, Fibrations, degenerations in algebraic geometry, \(3\)-folds, Abelian varieties and schemes
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