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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Murayama, T., Frobenius-Seshadri constants and characterizations of projective space, Math. Res. Lett., 25, 3, 905-936, (2018) Divisors, linear systems, invertible sheaves, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, 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) F. Campana and B. Kreußler, A conic bundle description of Moishezon twistor spaces without effective divisors of degree one, Math. Z. 229 (1998), no. 1, 137 -- 162. Twistor theory, double fibrations (complex-analytic aspects), Compact complex \(n\)-folds, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Infinitesimal methods in algebraic geometry, Local cohomology and algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Algebraic cycles, Variation of Hodge structures (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) M. Lejeune-Jalabert and A. J. Reguera-López, Exceptional divisors which are not uniruled belong to the image of the Nash map, 2008. Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Local complex singularities, 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) Faber, E.; Westra, D. B., Blowups in tame monomial ideals, J. Pure Appl. Algebra, 215, 8, 1805-1821, (2011) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Rational and birational maps, Configurations and arrangements of linear subspaces
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Integral closure of commutative rings and ideals, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Motivic cohomology; motivic homotopy theory, Schemes and morphisms, \(K\)-theory and homology; cyclic homology and cohomology, 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) Divisors, linear systems, invertible sheaves, Vector spaces, linear dependence, rank, lineability, Riemann-Roch theorems, 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) J. Keum, ``Quotients of fake projective planes'', Geom. Topol.12 (2008) no. 4, p. 2497-2515 Surfaces of general type, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Fernández-Sánchez, J.: Nash families of smooth arcs on a sandwiched singularity. Math. proc. Cambridge philos. Soc. 138, 117-128 (2005) Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) D. Witt Nyström,Transforming metrics on a line bundle to the Okounkov body, Ann. Sci. Éc. Norm. Supér. (4)47(2014), 1111--1161. Divisors, linear systems, invertible sheaves, Special polytopes (linear programming, centrally symmetric, etc.), Kähler manifolds, Complex Monge-Ampère operators
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.2996/kmj/1104247353 \(3\)-folds, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, 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) \beginbarticle \bauthor\binitsF. \bsnmCampana and \bauthor\binitsT. \bsnmPeternell, \batitleProjective manifolds whose tangent bundles are numerically effective, \bjtitleMath. Ann. \bvolume289 (\byear1991), page 169-\blpage187. \endbarticle \OrigBibText \beginbarticle \bauthor\binitsF. \bsnmCampana and \bauthor\binitsT. \bsnmPeternell, \batitleProjective manifolds whose tangent bundles are numerically effective, \bjtitleMath. Ann. \bvolume289 (\byear1991), page 169-\blpage187. \endbarticle \DOI10.1007/BF01446566 \endOrigBibText \bptokaddids, structpyb \endbibitem Mathematical Reviews (MathSciNet): \(3\)-folds, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Perrin, N, Small codimension smooth subvarieties in even-dimensional homogeneous spaces with Picard group \({\mathbb{Z}}\), C. R. Acad. Sci., 345, 155-160, (2007) Divisors, linear systems, invertible sheaves, Picard groups, 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) V. Cossart, O. Piltant, Resolution of Singularities of Arithmetical Threefolds II. ArXiv e-prints, Dec. 2014. Valuations and their generalizations for commutative rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) H.HAUSER,\textit{The Hironaka theorem on resolution of singularities (or: A proof we always wanted to} \textit{understand)}, Bull. Amer. Math. Soc. (N.S.) 40 (2003), no. 3, 323--403.http://dx.doi.org/ 10.1090/S0273-0979-03-00982-0.MR1978567 Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Local complex singularities, Invariants of analytic local rings, 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) Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), 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) Complex surface and hypersurface singularities, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) A. Dimca, ''Singularities and Topology of Hypersurfaces'', Universitext, Springer-Verlag, New York, 1992. DOI: 10.1007/978-1-4612-4404-2 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes, Research exposition (monographs, survey articles) pertaining to algebraic topology, Algebraic topology on manifolds and differential topology, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Deformations of complex singularities; vanishing cycles, Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc., Classical real and complex (co)homology in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), de Rham cohomology and algebraic geometry, Mixed Hodge theory of singular varieties (complex-analytic aspects), Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Milnor fibration; relations with knot theory, Stratifications in topological manifolds, Complex surface and hypersurface singularities
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) 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) Maeda H.: Nef line bundles on algebraic surfaces. Kodai Math. J. 18, 187--197 (1995) Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Generalizations (algebraic spaces, stacks), Logarithmic algebraic geometry, log 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) Cano, F.: Desingularization strategies for a three-dimensional vector field. Lect. notes in math. 1259 (1987) Global theory and resolution of singularities (algebro-geometric aspects), Ordinary differential equations in the complex domain, Research exposition (monographs, survey articles) pertaining to algebraic geometry, 2-person games, Singularities in algebraic geometry, \(3\)-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) Serrano F.: Strictly nef divisors and Fano threefolds. J. Reine Angew. Math. 464, 187--206 (1995) Divisors, linear systems, invertible sheaves, \(3\)-folds, 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) F. C. Kirwan, ''Partial desingularisations of quotients of nonsingular varieties and their Betti numbers,'' Ann. of Math., vol. 122, iss. 1, pp. 41-85, 1985. Global theory and resolution of singularities (algebro-geometric aspects), Group actions on varieties or schemes (quotients), Geometric invariant theory, Algebraic moduli problems, moduli of vector bundles, Classical real and complex (co)homology 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) Valuations and their generalizations for commutative rings, Divisors, linear systems, invertible sheaves, Rational and ruled surfaces
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Sheaves in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Projective techniques in algebraic geometry
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Topological properties 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) Fulton, W. (1969). \textit{Algebraic curves. Mathematics lecture note series}. New York-Amsterdam: W.A. Benjamin. Determinantal varieties, Special algebraic curves and curves of low genus, 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) Kajiwara, T.: The functor of a toric variety with enough invariant effective cartier divisors. Tôhoku math. J. 50, 139-157 (1998) Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Birational 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) Determinants, permanents, traces, other special matrix functions, Divisibility and factorizations in commutative rings, 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) Sakai, F, Anticanonical models of rational surfaces, Math. Ann., 269, 389-410, (1984) Families, moduli, classification: algebraic theory, Special surfaces, Rational and unirational varieties, Divisors, linear systems, invertible sheaves, Singularities of surfaces or 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) General commutative ring theory, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) A. Moriwaki, Some remarks on Kollár's vanishing theorem , Preprint, Kyoto Univ. 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) Borel, A., Tits, J.: Groupes Réductifs. Inst. Hautes Étud. Sci. Publ. Math. \textbf{27}(1), 55-150 (1965) Cycles and subschemes, Finite ground fields in algebraic geometry, Special surfaces, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Arithmetic ground fields for 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) Fano varieties, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Paranjape K and Ramanan S, \textit{On the canonical ring of a curve, in: Algebraic geometry and commutative algebra, vol. II} (1988) (Tokyo: Kinokuniya) pp. 503-516 Special algebraic curves and curves of low genus, (Co)homology theory 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) Scheiderer C.: Purity theorems for real spectra and applications. In: Broglia, F., Galbiati, M., Tognoli, A. (eds) Real Analytic and Algebraic Geometry (Trento 1992), pp. 229--250. de Gruyter, Berlin (1995) Real algebraic and real-analytic geometry, Étale and other Grothendieck topologies and (co)homologies, 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) Church, P. T.; Timourian, J. G.: Global structure for nonlinear operators in differential and integral equations. I. folds; II. Cusps: topological nonlinear analysis. (1997) Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Equations involving nonlinear operators (general), Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) \(3\)-folds, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Nuño-Ballesteros, JJ; Tomazella, JN, The Milnor number of a function on a space curve germ, Bull. Lond. Math. Soc., 40, 129-138, (2008) Deformations of complex singularities; vanishing cycles, Critical points of functions and mappings on manifolds, Equisingularity (topological and analytic), 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) Gimigliano, Stable postulation and stable ideal generation: conjectures for fat points in the plane, Bull. Belg. Math. Soc. Simon Stevin 16 (5) pp 853-- (2009) Divisors, linear systems, invertible sheaves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Cavaliere, M. P.; Rossi, M. E.; Valla, G.: The strong Castelnuovo lemma for zerodimensional schemes. (1994) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Schemes and morphisms, 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) T. Fujita: On quasi-polarized varieties (in preparation). Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Nobile, A.: Equisingularity theory for plane curves with embedded points. Pacific J. Math. 170, 543-566 (1995) Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, 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) García, LF, Projective normality of abelian surfaces of type \((1,2d)\), Manuscr. Math., 114, 385-390, (2004) Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, Special surfaces, Adjunction problems
| 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 over global fields, Heights, Schmidt Subspace Theorem and applications, Divisors, linear systems, invertible sheaves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Value distribution theory in higher dimensions, Hyperbolic and Kobayashi hyperbolic 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) S.-K. Yeung, Very ampleness of line bundles and canonical embedding of coverings of manifolds, Compos. Math. 123 (2000), no. 2, 209-223. Divisors, linear systems, invertible sheaves, Compact Kähler manifolds: generalizations, classification, Negative curvature complex manifolds, Embeddings in algebraic geometry, Embedding theorems for complex manifolds, Global differential geometry of Hermitian and Kählerian 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) S. D. Cutkosky and V. Srinivas, On a problem of Zariski on dimensions of linear systems , Ann. of Math. (2) 137 (1993), 531-559. JSTOR: Divisors, linear systems, invertible sheaves, Riemann-Roch theorems
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Derivations and commutative rings, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Hurşit Önsiper, On generalized Albanese varieties for surfaces, Math. Proc. Cambridge Philos. Soc. 104 (1988), no. 1, 1 -- 6. Surfaces and higher-dimensional varieties, Divisors, linear systems, invertible sheaves, Abelian varieties and 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) Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Binomial coefficients; factorials; \(q\)-identities, Sheaves in algebraic geometry, Enumerative problems (combinatorial problems) 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) Cutkosky, Steven Dale; Teissier, Bernard, Semigroups of valuations on local rings, Michigan Math. J., 57, 173-193, (2008) Valuations and their generalizations for commutative rings, Global theory and resolution of singularities (algebro-geometric aspects), Graded rings and modules (associative rings and algebras), Ordered semigroups and monoids
| 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) Ottaviani, G., An invariant regarding waring\(###\)s problem for cubic polynomials, Nagoya Math. J., 193, 95-110, (2009) Projective techniques in algebraic geometry, Classical groups (algebro-geometric aspects), Determinantal varieties, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Configurations and arrangements of linear subspaces, Cohen-Macaulay modules
| 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) Geometric invariant theory, Group actions on varieties or schemes (quotients), Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Syzygies, resolutions, complexes and commutative rings, 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) M. Artebani, A. Garbagnati, A. Laface: Cox rings of extremal rational elliptic surfaces. To appear in Transactions of the AMS. Preprint, arXiv:1302.4361. Rational and ruled surfaces, Divisors, linear systems, invertible sheaves
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) De Volder, Cindy; Tutaj-Gasińska, Halszka, Higher order embeddings of certain blow-ups of \(\mathbb{P}^2\), Proc. am. math. soc., 137, 12, 4089-4097, (2009) 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, Symplectic manifolds (general theory)
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) M. C. Beltrametti, A. J. Sommese, \textit{The adjunction theory of complex projective varieties}, volume 16 of \textit{de Gruyter Expositions in Mathematics}. De Gruyter 1995. MR1318687 Zbl 0845.14003 Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, 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) Non-Archimedean analysis, Divisors, linear systems, invertible sheaves, Rigid analytic geometry, Plurisubharmonic functions and generalizations, Complex Monge-Ampère operators
| 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) Khalid, A.; Kosar, Z., An easy proof of the general neron desingularization in dimension 1, \textit{Bull. Math. Soc. Sci. Math. Roumanie}, 59, 107, 349-353, (2016) Étale and flat extensions; Henselization; Artin approximation, Local structure of morphisms in algebraic geometry: étale, flat, etc., Regular local rings, Henselian rings
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Evans, E. G.; Griffith, P.: Syzygies, London math. Soc. lecture note ser. 106 (1985) Syzygies, resolutions, complexes and commutative rings, Sheaves in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), Local cohomology and algebraic geometry, 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) Katz, S.: Small resolutions of Gorenstein threefold singularities. Algebraic geometry: Sundance 1988, pp. 61-70, Contemp. Math., vol. 116, Am. Math. Soc., Providence, RI (1991) Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Formal methods and deformations in algebraic geometry, Deformations of singularities, 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) Koike, S.: The Briancon--Speder and Oka families are not bilipschits trivial, in several topics in singularity theory, Kyoto University research information repository, vol. 1328, pp. 165--173 (2003). http://www.kurims.kyoto-u.ac.jp/\(\sim\)kyodo/kokyuroku/2003.html Critical points of functions and mappings on manifolds, Singularities in algebraic geometry, Equisingularity (topological and analytic)
| 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) Welters G.: Curves of twice the minimal class on principally polarized abelian varieties. Indag. Math. 94, 87--109 (1987) Algebraic moduli of abelian varieties, classification, Families, moduli of curves (algebraic), Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties, Jacobians, Prym varieties
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Bundle convexity, Convex sets in \(2\) dimensions (including convex curves), Syzygies, resolutions, complexes and commutative rings
| 0
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Castellanos, J.: The dual graph for space curves. Lecture notes in mathematics 1462, 73-81 (1991) Plane and space curves, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, 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) Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, 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) 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) Fania M.L., Degree ten manifolds of dimension \(3\)-folds, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\))
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Franciosi, M, On the canonical ring of curves and surfaces, Manuscr. Math., 140, 573-596, (2013) Special algebraic curves and curves of low genus, 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) Alexander, J, Singularités imposables en position générale aux hypersurfaces de \(###\)\^{}\{n\}, Compos. Math., 68, 305-354, (1988) Enumerative problems (combinatorial problems) in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional 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) Grigoriev, D.; Milman, P., Nash desingularization for binomial varieties as Euclidean division, a priori termination bound, polynomial complexity in dim 2, \textit{Adv. Math.}, 231, 6, 3389-3428, (2012) Global theory and resolution of singularities (algebro-geometric aspects), Combinatorial complexity of geometric structures, Toric varieties, Newton polyhedra, Okounkov bodies, Analysis of algorithms and problem complexity
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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, 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) Derksen, H.; Fei, J., General presentations of algebras, Adv. Math., 278, 210-237, (2015) Representations of associative Artinian rings, Syzygies, resolutions, complexes in associative algebras, Global theory and resolution of singularities (algebro-geometric aspects), 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) 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) DOI: 10.1080/00927879508825475 Divisors, linear systems, invertible sheaves, Rational and birational maps, 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) Families, moduli, classification: algebraic theory, Moduli, classification: analytic theory; relations with modular forms, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) J.A. Moody, On resolving singularities, Maths Institute, Warwick University, 2001, preprint. Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) M. Fulger, ''Local volumes on normal algebraic varieties,'' arXiv: 1105.2981 [math.AG]. Rational and birational maps, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Local cohomology and algebraic geometry, Local complex singularities
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Rational and unirational varieties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) V. V. Shokurov, preprint in Birational Geometry of Algebraic Varieties: Open Problems, 23rd Taneguchi International Symposium, Katata , 1988. \(3\)-folds, Rational and birational maps, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) M. Field, \textit{Lectures on Bifurcations, Dynamics and Symmetry}, Chapman & Hall/CRC Research Notes in Mathematics Series, Taylor & Francis, 1996, URL https://books.google.co.uk/books?id=4dqrLHmicR8C. Group-invariant bifurcation theory in infinite-dimensional spaces, Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory, Local and nonlocal bifurcation theory for dynamical systems, 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) Minimal model program (Mori theory, extremal rays), Fano varieties, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Research exposition (monographs, survey articles) pertaining to algebraic geometry, History of algebraic geometry, History of mathematics in the 21st century
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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. Anderson, A. Küronya and V. Lozovanu, Okounkov bodies of finitely generated divisors, Int. Math. Res. Not. IMRN 2014 (2014), no.9, 2343--2355. Divisors, linear systems, invertible sheaves, Special polytopes (linear programming, centrally symmetric, 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) Vector bundles on curves and their moduli, Geometric methods, Divisors, linear systems, invertible sheaves, Pole and zero placement problems, Linear systems in control 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) Global theory and resolution of singularities (algebro-geometric aspects), History of mathematics in the 20th century, History of algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Relevant commutative algebra, Polynomial rings and ideals; rings of integer-valued polynomials, 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) R. Pandharipande, Intersections of \(\({ Q}\)\)-divisors on Kontsevich's moduli space \(\({\overline{M}}_{0, n}({ P}^{r}, d)\)\) and enumerative geometry. Trans. Am. Math. Soc. 351(4), 1481-1505 (1999) Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic), Birational geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Picard groups
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) [B1] Blache, R.: Moishezon-Flächen mit log-canonischen Singularitäten. Dissertation, Bochum 1992 Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) González-Sprinberg, G., Cycle maximal et invariant d'Euler local des singularités isolées de surfaces, Topology, 21, 4, 401-408, (1982) Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Topological properties in algebraic geometry, Singularities in algebraic geometry, Local complex singularities
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Yang, S., Linear systems in \(\mathbb P^2\) with base points of bounded multiplicity, J. Algebraic Geom., 16, 1, 19-38, (2007) 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), Special surfaces, Software, source code, etc. for problems 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) Beltrametti, M.: Contractions of non numerically effective extremal rays in dimension 4, Proc. Alg. Geom. Teubner-Texte Math. 92, 24-37, Berlin: Teubner 1986 Divisors, linear systems, invertible sheaves, Rational and birational maps, \(4\)-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) Analytic theory of abelian varieties; abelian integrals and differentials, Picard groups, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Configurations and arrangements of linear subspaces, Polynomial rings and ideals; rings of integer-valued polynomials, 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) Hironaka, Heisuke, Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math. (2) \textbf{79} (1964), 109--203; ibid. (2), 79, 205-326, (1964) 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) S. Abhyankar, Resolution of singularities of embedded algebraic surfaces, 2nd ed., Springer Monogr. Math., Springer, Berlin 1998. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rational and birational maps, Modifications; resolution of singularities (complex-analytic aspects)
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