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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system C. D. Hacon, On the degree of the canonical maps of \(3\)-folds, Proc. Japan Acad. Ser. A Math. Sci. 80 (2004), no. 8, 166--167. \(3\)-folds, Coverings in algebraic geometry, Divisors, linear systems, invertible sheaves On the degree of the canonical maps of 3-folds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system crepant resolution; orbifold; Lefschetz condition; Gromov-Witten J. Bryan and T. Graber, ``The crepant resolution conjecture'' in Algebraic Geometry--Seattle 2005, Part 1, Proc. Sympos. Pure Math. 80, Amer. Math. Soc., Providence, 2009, 23--42. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Global theory and resolution of singularities (algebro-geometric aspects) The crepant resolution conjecture | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjunction; polarized surface; ample divisor; hyperplane sections A. Lanteri-M. Palleschi, About the adjunction process for polarized algebraic surfaces Jour, für di Reine und Angew. Math.352 (1984), p 15-23 Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces About the adjunction process for polarized algebraic surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(k\)-gonal curve; Clifford sequence; linear series; primitive length; Clifford lengths of curves; Brill-Noether theory Marc Coppens, Changho Keem, and Gerriet Martens, The primitive length of a general \?-gonal curve, Indag. Math. (N.S.) 5 (1994), no. 2, 145 -- 159. Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves The primitive length of a general \(k\)-gonal curve | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system reduced norms; \(K\)-groups; Gersten complexes; principal homogeneous spaces; Azumaya algebras; semilocal regular rings Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Grothendieck groups, \(K\)-theory, etc., Regular local rings, Homogeneous spaces and generalizations On a Grothendieck conjecture for Azumaya algebras | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system simple elliptic singularities; moduli algebras; modulus; Artinian local algebras; \(j\)-invariant Chen, H., Seeley, C., Yau, S.S.-T.: Algebraic determination of isomorphism classes of the moduli algebras of \$\(\backslash\)tilde\{E\}\_\{6\}\$ singularities. Math. Ann. 318, 637--666 (2000) Equisingularity (topological and analytic), Infinitesimal methods in algebraic geometry, Commutative Artinian rings and modules, finite-dimensional algebras, Classification; finite determinacy of map germs Algebraic determination of isomorphism classes of the moduli algebras of \(\widehat E_6\) singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system variety over a real closed field; divisors Divisors, linear systems, invertible sheaves, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Divisors on varieties over a real closed field | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system zero estimates; lower bounds; linear forms in elliptic integrals; complex multiplications; dependence relations; heights; elliptic curve; multihomogeneous zero estimate [Y] Kunrui Yu,Linear forms in elliptic logarithms, J. Number Theory20 (1985), 1--69. Algebraic independence; Gel'fond's method, Elliptic curves, Group varieties, Regular local rings Linear forms in elliptic logarithms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system special cubic fourfold; modular form; Heegner divisor; Eisenstein series Z. Li, L. Zhang, Modular forms and special cubic fourfolds. Adv. Math. 245, 315--326 (2013) Modular and automorphic functions, \(4\)-folds, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory Modular forms and special cubic fourfolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system number of tangent hyperplanes; Betti numbers; linear sections; threefold A. Lanteri and C. Turrini, Projective threefolds of small class, Abh. Math. Sem. Univ. Hamburg 57 (1987), 103--117. \(3\)-folds, Topological properties in algebraic geometry, Divisors, linear systems, invertible sheaves Projective threefolds of small class | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polarized manifold; ample line bundle; adjunction theory; classification; sectional Betti number; sectional invariant Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\)) Classification of polarized manifolds by the second sectional Betti number. II | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system higher Nash blowup; higher-order Jacobian matrix; hypersurface Global theory and resolution of singularities (algebro-geometric aspects), Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Rational and birational maps, Computational aspects of higher-dimensional varieties Computational aspects of the higher Nash blowup of hypersurfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system intermediate Jacobians; Fano varieties; threefolds; theta divisors; families of curves; quartic double solids; moduli spaces of stable vector bundles; Abel-Jacobi map Markushevich, D.G., Tikhomirov, A.S.: A parametrization of the theta divisor of the quartic double solid. Int. Math. Res. Not. \textbf{2003}(51), 2747-2778 (2003) Picard schemes, higher Jacobians, \(3\)-folds, Fano varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves A parametrization of the theta divisor of the quartic double solid | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjoint linear system; generation of jets; Mumford regularity Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Sheaves in algebraic geometry On the simultaneous generation of jets of the adjoint bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Herwig Hauser and Georg Regensburger, Explizite Auflösung von ebenen Kurvensingularitäten in beliebiger Charakteristik, Enseign. Math. (2) 50 (2004), no. 3-4, 305 -- 353 (German). Plane and space curves, Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects) Explicit resolution of plane curve singularities in arbitrary characteristic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Newton-Okounkov body; valuative tree; valuation; linear system; algebraic geometry Ciliberto, Ciro; Farnik, Michal; Küronya, Alex; Lozovanu, Victor; Roé, Joaquim; Shramov, Constantin, Newton--Okounkov bodies sprouting on the valuative tree, Rend. Circ. Mat. Palermo (2), 66, 2, 161-194, (2017) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Valuations and their generalizations for commutative rings Newton-Okounkov bodies sprouting on the valuative tree | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system degeneration; Severi varieties; polarization; abelian surfaces; nodal curves; Brill-Noether theory Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Fibrations, degenerations in algebraic geometry, Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory), Projective techniques in algebraic geometry, Abelian varieties of dimension \(> 1\) Severi varieties and Brill-Noether theory of curves on abelian surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system finitely generated ring of global sections; complete toric variety; Cartier divisor Elizondo, E. J., The ring of global sections of multiples of a line bundle on a toric variety, Proc. Am. Math. Soc., 125, 9, 2527-2529, (1997) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies The ring of global sections of multiples of a line bundle on a toric variety | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Kazhdan-Lusztig polynomials; Schubert varieties; small resolutions Grassmannians, Schubert varieties, flag manifolds, Global theory and resolution of singularities (algebro-geometric aspects) Small resolutions of Schubert varieties and Kazhdan-Lusztig polynomials | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system pluricanonical maps; threefolds of general type; Kodaira dimension; canonical complete linear system; stable canonical map \(3\)-folds, Divisors, linear systems, invertible sheaves Stability of the pluricanonical maps of threefolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory, Special surfaces On sectional genus of \(k\)-very ample line bundles on smooth surfaces with non-negative Kodaira dimension | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system real algebraic set; algebraic resolution; stable algebraic subsets Akbulut S., King H.: A resolution theorem for homology cycles of real algebraic varieties. Invent. Math. 79, 589--601 (1985) Real algebraic and real-analytic geometry, Realizing cycles by submanifolds, Global theory and resolution of singularities (algebro-geometric aspects) A resolution theorem for homology cycles of real algebraic varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system C. Galati and A. L. Knutsen, Seshadri constants of K3 surfaces of degrees 6 and 8, Int. Math. Res. Notices IMRN (2013), 4072-4084. Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces Seshadri constants of \(K3\) surfaces of degrees 6 and 8 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system BRIVIO S.--LANTERI A. On complex projective surfaces with trigonal hyperplane sections. Preprint Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves Erratum to ``On complex projective surfaces with trigonal hyperplane sections'' | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Mori theory; Kawamata-Shokurov contraction; extremal ray Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) When \(K+(n-4)L\) fails to be nef | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system nef subschemes; ample subschemes; Fujita vanishing theorem; intersection theory; movable cone; partially positive line bundles; partial ampleness Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry On nef subvarieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjoint bundles; polarized manifold; Beltrametti-Sommese conjecture; the sectional geometric genus Divisors, linear systems, invertible sheaves, \(4\)-folds On the dimension of the global sections of \(K_X+4L\) for polarized 5-folds \((X, L)\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system abundance theorem; semi log canonical threefolds Minimal model program (Mori theory, extremal rays), \(3\)-folds, Divisors, linear systems, invertible sheaves, Birational automorphisms, Cremona group and generalizations On abundance theorem for semi log canonical threefolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system nef-big divisor; quasi-polarized manifold; sectional genus; irregularity Y. Fukuma, A lower bound for sectional genus of quasi-polarized manifolds, II, preprint, http://www.math.kochi-u.ac.jp/fukuma/preprint.html Zbl0899.14003 MR1601389 Divisors, linear systems, invertible sheaves A lower bound for sectional genus of quasi-polarized manifolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system real algebraic curve; Cartier divisor; invertible sheaf Monnier J.-Ph.: On real generalized Jacobian varieties. J. Pure Appl. Algebra 203, 252--274 (2005) Topology of real algebraic varieties, Divisors, linear systems, invertible sheaves On real generalized Jacobian varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; blowup Herwig Hauser, Seven short stories on blowups and resolutions, Proceedings of Gökova Geometry-Topology Conference 2005, Gökova Geometry/Topology Conference (GGT), Gökova, 2006, pp. 1 -- 48. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Seven short stories on blowups and resolutions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects) A geometric characterization of normal two-dimensional Gorenstein singularities with \(p_a=1\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system mixed Hodge structures; equisingular family; variation; variation of mixed Hodge structure; infinitesimal period map S. Tsuboi: Cubic hyper-equisingular families of complex projective varieties. I. Proc. Japan Acad., 71A, 207-209 (1995). Mixed Hodge theory of singular varieties (complex-analytic aspects), Equisingularity (topological and analytic), Variation of Hodge structures (algebro-geometric aspects) Cubic hyper-equisingular families of complex projective varieties. I | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system nef tangent bundles; nef anticanonical bundle; compact Riemann surface Divisors, linear systems, invertible sheaves, Compact Kähler manifolds: generalizations, classification Compact complex manifolds whose tangent bundles satisfy numerical effectivity properties (joint work with Thomas Peternell and Michael Schneider) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algorithmic resolution; centers of blowup; resolution datum; embedded resolution Encinas, S. and Hauser, H.: Strong resolution of singularities in characteristic zero. Comment. Math. Helv. 77 (2002), no. 4, 821-845. Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects) Strong resolution of singularities in characteristic zero | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic group; group action; torsor Reichstein, Z.; Youssin, B.: A non-split torsor with trivial fixed point obstruction. J. algebra 263, No. 2, 255-261 (2003) Group actions on varieties or schemes (quotients), Geometric invariant theory, Linear algebraic groups over arbitrary fields, Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps A non-split torsor with trivial fixed point obstruction. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system base-point-free theorem; semi-ample line bundles; positive characteristic; finite fields; minimal model program; log canonical Martinelli, D; Nakamura, Y; Witaszek, J, On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field, Algebra Number Theory, 9, 725-747, (2015) Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, \(3\)-folds On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system birational geometry; Brauer discrepancy; terminal resolution B. Nanayakkara, Terminal resolutions of Brauer pairs, PhD thesis, University of New Brunswick, 2010. Brauer groups of schemes, Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays) Existence of terminal resolutions of geometric Brauer pairs of arbitrary dimension | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system embedded desingularization; log-resolution; toric variety; binomial ideal; transversality Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Singularities of surfaces or higher-dimensional varieties, Birational geometry Embedded desingularization of toric varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system flat Cartier divisor; weighted dual graph; half-Inoue surfaces I. NAKAMURA, On surfaces of class VII0 with curves, Proc. Japan Acad. Ser. A 58 (1982), 380-38 (1982); II 62 (1986), 406-409. Moduli, classification: analytic theory; relations with modular forms, Compact complex surfaces, Special surfaces, Divisors, linear systems, invertible sheaves On surfaces of class \(VII_ 0\) with curves. II | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear systems; fat points Bocci, C, Special effect varieties and \((-1)\)-curves, Rocky Mt. J. Math., 40, 397-419, (2010) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Singularities of curves, local rings, Interpolation in approximation theory Special effect varieties and \((-1)\)-curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Galois covering of complete irreducible nonsingular algebraic curves over a finite field; regular differentials; \(L\)-series; trace of the Cartier operator; character sums Coverings of curves, fundamental group, Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Divisors, linear systems, invertible sheaves, Curves over finite and local fields, Exponential sums and character sums The trace of the Cartier operator and character sums | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system weak Lefschetz; ample cone birational model Szendröi, B., On the ample cone of an ample hypersurface, Asian J. Math., 7, 001, (2003) Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry On the ample cone of an ample hypersurface | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Araujo C.: The cone of pseudo-effective divisors of log varieties after Batyrev. Math. Z., 264(1), 179--193 (2010) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) The cone of pseudo-effective divisors of log varieties after Batyrev | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system canonical divisor; Hurwitz scheme; Chern classes; Kodaira dimension; moduli space of curves of general type \textsc{D. Eisenbud and B. Ulrich}, The regularity of the conductor, In: A Celebration of Algebraic Geometry, 267-280 Clay Math. Proc., vol. 18, Amer. Math. Soc., Providence, RI, 2013. Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Algebraic moduli problems, moduli of vector bundles, Coverings of curves, fundamental group On the Kodaira dimension of the moduli space of curves. II: The even-genus case | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system vector bundles; Hilbert schemes; determinantal varieties Hideyasu Sumihiro, Determinantal varieties associated to rank two vector bundles on projective spaces and splitting theorems, Hiroshima Math. J. 29 (1999), no. 2, 371 -- 434. Determinantal varieties, Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Surfaces of general type, \(3\)-folds, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Determinantal varieties associated to rank two vector bundles on projective spaces and splitting theorems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system of plane curves Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves Regularity and irreducibility of linear systems of plane curves through points of \(\mathbb{P}^ 2\) in general position with prescribed multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system jet ampleness; toric varieties; Fujita's conjectures; higher concavity; Seshadri constants Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) Generation of jets and Fujita's jet ampleness conjecture on toric varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polynomial function; Nash function; topological equivalence; semialgebraic equivalence Semialgebraic sets and related spaces, Equisingularity (topological and analytic), Modifications; resolution of singularities (complex-analytic aspects), Singularities of differentiable mappings in differential topology, Nash functions and manifolds On finiteness theorems of polynomial functions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system singular locus; moduli space; principally polarized abelian varieties; Jacobians Roy Smith and Robert Varley, Components of the locus of singular theta divisors of genus 5, Algebraic geometry, Sitges (Barcelona), 1983, Lecture Notes in Math., vol. 1124, Springer, Berlin, 1985, pp. 338 -- 416. Theta functions and abelian varieties, Algebraic moduli of abelian varieties, classification, Divisors, linear systems, invertible sheaves Components of the locus of singular theta divisors of genus 5 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system torsion freeness of higher direct images of canonical bundles; projective morphism; divisor with only normal crossings; variation of Hodge structure DOI: 10.1007/BF01450836 Vanishing theorems, Transcendental methods, Hodge theory (algebro-geometric aspects), Holomorphic bundles and generalizations, Divisors, linear systems, invertible sheaves Torsion freeness of higher direct images of canonical bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hodge class; divisor class; effective Weil divisors; effective Cartier divisors; moduli space of stable genus g curves; boundary class Cornalba, M; Harris, J, Divisor classes associated to families of stable varieties, with applications to the moduli space of curves, Ann. Sci. École Norm. Sup. (4), 21, 455-475, (1988) Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves Divisor classes associated to families of stable varieties with applications to the moduli space of curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Jacobian hypothesis; flatness; regular local ring; Jacobian determinant Miyanishi, M.; Robbiano, L.; Sui Sheng Wang, S., A brief proof of Jacobian hypothesis implies flatness, Proc. amer. math. soc., 109, 2, 327-330, (1990) Polynomial rings and ideals; rings of integer-valued polynomials, Injective and flat modules and ideals in commutative rings, Local structure of morphisms in algebraic geometry: étale, flat, etc., Regular local rings A brief proof of Jacobian hypothesis implies flatness | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; uniformization Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps, Singularities in algebraic geometry, Morphisms of commutative rings Local monomialization. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(p\)-adic manifolds; \(p\)-adic Igusa or local zeta functions Zeta functions and \(L\)-functions, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Global theory and resolution of singularities (algebro-geometric aspects), Other Dirichlet series and zeta functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry, Singularities of curves, local rings Introduction to \(p\)-adic Igusa zeta functions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system blowing up of curve singularities; almost complete intersection curve; multiplicities of blow-ups Katz D., Comm. Algebra 22 pp 721-- (1994) Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Singularities in algebraic geometry, Complete intersections On the multiplicity of blow-ups associated to almost complete intersection space curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system symplectic contractions; symplectic resolutions; modifications; Du Val singularities; Mori dream spaces; movable cones; flops; nef cones; nilpotent cones; Weyl chambers Andreatta, M.; Wiśniewski, JA, 4\textit{-dimensional symplectic contractions}, Geom. Dedicata, 168, 311-337, (2014) Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), Singularities of surfaces or higher-dimensional varieties 4-dimensional symplectic contractions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system toric \(d\)-folds with terminal singularities; flop conjectures Sturmfels, B.: Toric ideals. Lecture notes (1994) Toric varieties, Newton polyhedra, Okounkov bodies, \(4\)-folds, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry A note on lattice simplices and toric varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system abundance; semiampleness; base points; linear system; Shokurov Ambro, F., A semiampleness criterion, J. Math. Sci. Univ. Tokyo, 12, 445-466, (2005) Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) A semiampleness criterion | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Seshadri constant; 0-dimensional schemes; points; blow up Harbourne, B.; Roé, J., Discrete behavior of Seshadri constants on surfaces, J. pure appl. algebra, 212, 616-627, (2008) Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties Discrete behavior of Seshadri constants on surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system moduli of vector bundles; map associated to the determinant bundle Beauville A.: Vector bundles and theta functions on curves of genus 2 and 3. Am. J. Math. 128, 607--618 (2006) Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves Vector bundles and theta functions on curves of genus 2 and 3 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system big cotangent bundle; surfaces of general type; canonical singularities Global theory and resolution of singularities (algebro-geometric aspects) Resolutions of surfaces with big cotangent bundle and \(A_2\) singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Riemann-Roch inequalities; semi-ample line bundles; Hilbert polynomial; semi-ample Cartier divisor; bounded intersection numbers J. Kollár and T. Matsusaka, Riemann-Roch type inequalities, Amer. J. Math. 105 (1983), no. 1, 229-252. Riemann-Roch theorems, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves Riemann-Roch type inequalities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system normality of a semigroup; line bundle S. S. Kannan and S. K. Pattanayak, Projective normality of finite group quotients and EGZ theorem, manuscript. Divisors, linear systems, invertible sheaves, Other combinatorial number theory, Actions of groups on commutative rings; invariant theory Normality, projective normality and EGZ theorem | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hyperplane sections; very ample line bundle; spanned line bundle; general position; projective classification of algebraic surfaces; geometrically ruled surfaces Biancofiore A., Pacific Journal of Mathematics 143 pp 9-- (1990) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces On the hyperplane sections of ruled surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasi polarized; extremal ray; adjunction theory M.C. Beltrametti, A.L. Knutsen, A. Lanteri and C. Novelli: Geometry of rays-positive manifolds , Collect. Math. 63 (2012), 375-391. Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Fano varieties, Adjunction problems Geometry of rays-positive manifolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Néron Severi group; Seshadri constant; Jacobian of a hyperelliptic curve; principal polarized abelian variety; theta divisor Steffens A. (1998). Remarks on Seshadri constants. Math. Z. 227: 505--510 Divisors, linear systems, invertible sheaves, Jacobians, Prym varieties, Theta functions and curves; Schottky problem, Theta functions and abelian varieties Remarks on Seshadri constants | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Mori extremal rays; nef Cartier divisor; non-vanishing theorem Шокуров, В. В., Теорема о необращении в нуль, Изв. АН СССР. Сер. матем., 49, 3, 635-651, (1985) Divisors, linear systems, invertible sheaves, Classical real and complex (co)homology in algebraic geometry, Minimal model program (Mori theory, extremal rays) The non-vanishing theorem | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system formal groups; p-divisible groups; Galois endomorphisms; Tate modules Formal groups, \(p\)-divisible groups, Regular local rings Galois endomorphisms of the torsion subgroup of one-parameter generic formal groups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system arithmetic genus of singularity; normal two-dimensional singularity; resolution Tomari, M., A geometric characterization of normal two-dimensional singularities of multiplicity two with pa^ 1, Publ. R. J. M. S. Kyoto Univ., 20 (1984), 1-20. Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects) A geometric characterization of normal two-dimensional singularities of multiplicity two with \(p_ a\leq 1\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system elliptic fibration; singular fibers; coherent sheaf cohomology; Bott vanishing Vanishing theorems in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves Bott vanishing for elliptic surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system curve classes; cycle classes; Seshadri constants; multiplicity; numerical cones of curve (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Multiplicity theory and related topics Seshadri constants for curve classes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system line bundle; Fano variety; ample divisor Fano varieties, Divisors, linear systems, invertible sheaves, \(4\)-folds, \(n\)-folds (\(n>4\)) Fano manifolds as ample divisors | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system uniform bounds on ideal sheaves; multiplier ideals ELS L.~Ein, R.~Lazarsfeld and K.~E.~Smith, Uniform bounds and symbolic powers on smooth varieties, Invent. Math. \textbf 144 (2001), no.2, 241--252. Regular local rings, Relevant commutative algebra Uniform bounds and symbolic powers on smooth varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system general element of linear system; surface with Picard number equal to 1 DOI: 10.1007/BF02571348 Picard groups, Divisors, linear systems, invertible sheaves Picard numbers of surfaces in 3-dimensional weighted projective spaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system surface of general type; canonical divisor Special surfaces, Divisors, linear systems, invertible sheaves Addendum: Inégalités numériques pour les surfaces de type général. (Addendum: Numerical inequalities for surfaces of general type) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Demonstration theorem; determinant; formation law; product; divisors; theorem of Mr. Smith Determinants, permanents, traces, other special matrix functions, Proof theory in general (including proof-theoretic semantics), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra, Relational systems, laws of composition, Divisors, linear systems, invertible sheaves, Symmetric functions and generalizations, Multiplicative structure; Euclidean algorithm; greatest common divisors, Polynomials in real and complex fields: factorization Demonstration of a theorem related to an outstanding determinant. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system numerical quadrics; vector bundles on compact complex surfaces; adjunction mappings; general-type surfaces Surfaces of general type, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory Adjunction mappings on numerical quadrics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lefschetz properties; Jacobian ideals; arrangements Ilardi, G., Jacobian ideals, arrangements and the Lefschetz properties, J. Algebra, 508, 418-420, (2018) Commutative Artinian rings and modules, finite-dimensional algebras, Configurations and arrangements of linear subspaces, Projective differential geometry, Divisors, linear systems, invertible sheaves, Rational and unirational varieties Jacobian ideals, arrangements and the Lefschetz properties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasi-polarized 3-folds; divisor; sectional genus; irregularity; polarized manifolds Y. Fukuma, On sectional genus of quasi-polarized \(3\) -folds, Trans. Amer. Math. Soc., 351 (1999), pp. 363-377. Zbl0905.14003 MR1487615 Divisors, linear systems, invertible sheaves, \(3\)-folds On sectional genus of quasi-polarized 3-folds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; positive characteristic; differential operators; Rees algebras; monomial ideals. Benito, Angélica; Villamayor U., Orlando E., Monoidal transforms and invariants of singularities in positive characteristic, Compos. Math., 149, 8, 1267-1311, (2013) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Graded rings, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes Monoidal transforms and invariants of singularities in positive characteristic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system surfaces of general type; Severi inequality; étale coverings; irregular varieties Barja, M. Á.; Pardini, R.; Stoppino, L., Surfaces on the Severi line, J. Math. Pures Appl. (9), 105, 5, 734-743, (2016) Surfaces of general type, Coverings in algebraic geometry, Divisors, linear systems, invertible sheaves Surfaces on the Severi line | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system local obstructions; lifting; Galois cover; algebraic curves; characteristic \(p\) Bertin, J.: Obstructions locales, au relèvement de revêtements galoisiens de courbes lisses. C.R. Acad. Sci. Paris Sér.~I Math. 326, 55--58 (1998) Coverings of curves, fundamental group, Arithmetic ground fields for curves, Global theory and resolution of singularities (algebro-geometric aspects) Local obstructions to lifting Galois covers of smooth curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system symplectic varieties; quotient singularities; deformations Global theory and resolution of singularities (algebro-geometric aspects), Homogeneous spaces and generalizations Wreath products, nilpotent orbits and symplectic deformations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system configuration; Kummer surfaces \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) A \(4_ 3\) configuration of lines and conics in \(\mathbb{P}^ 5\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities, hypersurfaces; complex analytic spaces; infinitely near singularities; modifications; horizontal morphisms, vertical morphisms, cone-fibered spaces, blow-ups, blowing cones, normal cones; tangent cones; Weierstrass preparation theorem; normal flatness; maximal contact; idealistic exponents; characteristic cones; continuity of maximal contact; contact stability theorems; trees; forests; groves; polygroves; soil; gardens; allées; normal crossings; Samuel stratification; complex analytic foliations; valuations; Newton polygon; Thom's conjecture Research exposition (monographs, survey articles) pertaining to algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects), Complex spaces, Global theory and resolution of singularities (algebro-geometric aspects), Dynamical aspects of holomorphic foliations and vector fields, Singularities of holomorphic vector fields and foliations, Foliations (differential geometric aspects), Contact manifolds (general theory), Foliations in differential topology; geometric theory, Singularities in algebraic geometry Complex analytic desingularization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolutions; homogeneous ideal of point; Green-Lazarsfeld conjecture D. Eisenbud and J.-H. Koh, ''Remarks on points in a projective space,'' in Math. Sci. Res. Inst. Publ. Berkeley, CA, 1987, Vol. 15: Commutative Algebra (Springer, New York, 1989), pp. 157--172. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, Global theory and resolution of singularities (algebro-geometric aspects) Remarks on points in a projective space | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system central division algebras; cyclic algebras; ramification; curve points; nodal points; Brauer groups; curves over local fields; \(p\)-adic curves; field extensions; algebraic function fields; curves over rings of integers of \(p\)-adic fields D. J. Saltman, ''Cyclic algebras over \(p\)-adic curves,'' J. Algebra, vol. 314, iss. 2, pp. 817-843, 2007. Finite-dimensional division rings, Curves over finite and local fields, Arithmetic ground fields for curves, Brauer groups of schemes, Skew fields, division rings, Algebras and orders, and their zeta functions, Algebraic functions and function fields in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local ground fields in algebraic geometry, Special surfaces Cyclic algebras over \(p\)-adic curves. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system periods; Kontsevich-Zagier period conjecture; algorithmic; semi-algebraic sets; resolutions of singularities Global theory and resolution of singularities (algebro-geometric aspects), Transcendence (general theory), Computational number theory, Semialgebraic sets and related spaces A semi-canonical reduction for periods of Kontsevich-Zagier | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasi-ordinary; surface singularities; jet schemes Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Jet schemes of quasi-ordinary surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system vanishing theorem for cohomology; effective smooth divisor; morphism of divisor to curve; extension of divisor morphism; canonical divisor Serrano F. (1987). Extension of morphisms defined on a divisor. Math. Ann. 277: 395--413 Divisors, linear systems, invertible sheaves, Local structure of morphisms in algebraic geometry: étale, flat, etc. Extension of morphisms defined on a divisor | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hyperplane section Lê, D. T., Singularity Theory, Generic sections of singularities, 677-682, (2007), World Scientific, Hackensack Singularities in algebraic geometry, Equisingularity (topological and analytic) Generic sections of singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(k\)-jet ampleness; hyperelliptic surfaces; vanishing theorems Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry, Embeddings in algebraic geometry On \(k\)-jet ampleness of line bundles on hyperelliptic surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system nodal hypersurface; factoriality; integral homology; base point freeness Cheltsov, I.; Park, J., Factorial hypersurfaces in P\^{}\{4\} with nodes, Geom. Dedicata, 121, 205-219, (2006) Singularities of surfaces or higher-dimensional varieties, Divisors, linear systems, invertible sheaves, \(3\)-folds, Hypersurfaces and algebraic geometry Factorial hypersurfaces in \(\mathbb{P}^4\) with nodes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system partial desingularization; intersection Poincaré polynomial; open cone of a link; del Pezzo surface Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Transcendental methods, Hodge theory (algebro-geometric aspects), Sheaves in algebraic geometry, Families, moduli of curves (algebraic), Global theory and resolution of singularities (algebro-geometric aspects), Geometric invariant theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Mixed Hodge theory of singular varieties (complex-analytic aspects) Intersection cohomology of pure sheaf spaces using Kirwan's desingularization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system blowing-ups of two-dimensional complex manifolds; equisingularity Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Blowing-ups and bifurcation points. I: The Zariski theorem on equisingularity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system numerically effective canonical divisor; pluricanonical maps; 3-fold [Mk]K. Matsuki, ``On pluricanonical maps for 3-folds of general type{'',J. Math. Soc. Japan, 38 (1986), 339--359.} \(3\)-folds, Divisors, linear systems, invertible sheaves On pluricanonical maps for 3-folds of general type | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system moduli space of curves; effective cone Families, moduli of curves (algebraic), Algebraic cycles, Divisors, linear systems, invertible sheaves Non-polyhedral effective cones from the moduli space of curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system birarionally rigid varieties; Mori spaces; movable log pairs DOI: 10.1007/BF02984105 Minimal model program (Mori theory, extremal rays), Rational and birational maps, Divisors, linear systems, invertible sheaves Log models of birationally rigid varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system rigid complex manifolds and varieties; branched coverings; Hirzebruch Kummer coverings; deformation theory; configurations of lines; del Pezzo surfaces Local deformation theory, Artin approximation, etc., Moduli, classification: analytic theory; relations with modular forms, Surfaces of general type, Fano varieties, Coverings in algebraic geometry, Vanishing theorems in algebraic geometry, Deformations of complex structures, Equisingularity (topological and analytic), Compact complex surfaces, Arrangements of points, flats, hyperplanes (aspects of discrete geometry) Del Pezzo surfaces, rigid line configurations and Hirzebruch-Kummer coverings. Del Pezzo surfaces, rigid line configurations and Hirzebruch-Kummer covering. In beloved memory of Paolo (de Bartolomeis) | 0 |
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