text stringlengths 209 2.82k | label int64 0 1 |
|---|---|
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 of degree 6; quartic surface; nonsimple singularity; rigid isotopy type Degtyarev, AI, Classification of surfaces of degree four having a nonsimple singular point, Math. USSR-Izv., 35, 607-627, (1990) Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces, Singularities in algebraic geometry, Complex surface and hypersurface singularities Classification of surfaces of degree four having a nonsimple singular point | 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 minimal surfaces of general type; base points; dimension of the bicanonical image Lopes, M. Mendes; Pardini, R.: A survey on the bicanonical map of surfaces with pg=0 and K2\?2, , 277-287 (2002) Surfaces of general type, Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves A survey on the bicanonical map of surfaces with \(p_g=0\) and \(K^2\geq 2\). | 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 symbolic power; test ideal; graded system of ideals; tight closure; multiplier ideals Takagi, S; Yoshida, K, Generalized test ideals and symbolic powers, Michigan Math. J., 57, 711-724, (2008) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Regular local rings, Singularities in algebraic geometry Generalized test ideals and symbolic powers | 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 Chabauty; Coleman; curves; Jacobian; symmetric powers; divisors; differentials; abelian integrals Siksek, S, Chabauty for symmetric powers of curves, Algebra Number Theory, 3, 209-236, (2009) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Varieties over global fields, Analytic theory of abelian varieties; abelian integrals and differentials, Divisors, linear systems, invertible sheaves Chabauty for symmetric powers 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 algebraic curve; linear series; algebraic rank; weighted graph; tropical curve Kawaguchi, S., Yamaki, K.: Algebraic rank on hyperelliptic graphs and graphs of genus 3. preprint arXiv:1401.3935 (2014, preprint) Special divisors on curves (gonality, Brill-Noether theory), Arithmetic ground fields for curves, Coverings of curves, fundamental group, Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Graph theory Algebraic rank on hyperelliptic graphs and graphs of genus 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 regular morphism of noetherian rings; completion of an excellent henselian factorial local ring; approximation on nested subrings Popescu, D., General Néron desingularization and approximation, Nagoya Math. J., 104, 85-115, (1986) Local structure of morphisms in algebraic geometry: étale, flat, etc., Global theory and resolution of singularities (algebro-geometric aspects), Commutative Noetherian rings and modules, Complete rings, completion, Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Henselian rings General Néron desingularization and approximation | 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 theta-divisor of the jacobian; sextics of genus three; Abel-Jacobi map Theta functions and abelian varieties, Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Picard schemes, higher Jacobians The theta-divisor of the mean Jacobian for a double space \(P^ 3\) of index two | 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 manifolds; sectional genus Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) On complex \(n\)-folds polarized by an ample line bundle \(L\) with \(\mathrm{Bs}|L| = \emptyset\), \(g(X,L) = q(X) + m\) and \(h^{0}(L) =n+m-1\) | 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 trivial tricanonical divisors; log Enriques surface Zhang D.-Q.: Normal Algebraic Surfaces with trivial tricanonical divisors. Publ. RIMS. Kyoto Univ. 33, 427--442 (1997) \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Normal algebraic surfaces with trivial tricanonical 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 general blowing-up of the projective plane; Alexander's conjecture Stéphane Chauvin and Cindy De Volder, Some very ample and base point free linear systems on generic rational surfaces, Math. Nachr. 245 (2002), 45 -- 66. , https://doi.org/10.1002/1522-2616(200211)245:13.0.CO;2-L Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Vanishing theorems in algebraic geometry Some very ample and base point free linear systems on generic rational 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 Cox ring; Fano varieties Divisors, linear systems, invertible sheaves, Fano varieties On intrinsic 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 divisor; real algebraic curve Monnier J.-Ph.: Divisors on real curves. Adv. Geom. 3, 339--360 (2003) Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory), Topology of real algebraic varieties Divisors on real 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 (Equivariant) Chow groups and rings; motives, Divisors, linear systems, invertible sheaves, Transcendental methods, Hodge theory (algebro-geometric aspects), Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Divisor class groups of singular 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 Nevanlinna constant; Schmidt's subspace theorem; integral points Value distribution theory in higher dimensions, Divisors, linear systems, invertible sheaves, Varieties over global fields, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) A birational Nevanlinna constant and its consequences | 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 compactification of \(\mathbb{C}^ 3\); Fano 3-fold Furushima, M., A new example of a compactification of \(\mathbb C^3\), Math. Z., 212, 395-399, (1993) Compactification of analytic spaces, Compact complex \(3\)-folds, Divisors, linear systems, invertible sheaves, \(3\)-folds A new example of a compactification of \(\mathbb{C}^ 3\) | 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 multilinear operators; oscillatory integrals; resolution of singularities; Newton polyhedra Xiao, L., Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities, Rev. mat. iberoam., 33, 1, 67-116, (2017) Singular and oscillatory integrals (Calderón-Zygmund, etc.), Global theory and resolution of singularities (algebro-geometric aspects) Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution 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 arithmetic variety; number of sections of a Hermitian vector bundle H. Gillet and C. Soulé, Amplitude arithmétique, C. R. Acad. Sci. Paris Sér. I Math. 307 (1988), 887--890. Arithmetic problems in algebraic geometry; Diophantine geometry, Divisors, linear systems, invertible sheaves Amplitude arithmétique. (Arithmetic ampleness) | 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 family of projective spaces; divisor; weak meromorphic equivalence Structure of families (Picard-Lefschetz, monodromy, etc.), Divisors, linear systems, invertible sheaves Analytic sections in fiberings of conics | 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; degeneration Ciro Ciliberto and Rick Miranda, Matching conditions for degenerating plane curves and applications, Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 177 -- 197. Divisors, linear systems, invertible sheaves Matching conditions for degenerating plane curves and applications | 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 discriminant locus; ample line bundle; dual variety; defect; scrolls Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)), Projective techniques in algebraic geometry Low dimensional loci and scrolls | 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 log canonical threshold; alpha invariant; polarization; K-stability; Fano; log K-stability R. Dervan, Alpha invariants and \(K\)-stability for general polarizations of Fano varieties, \textit{Int. Math. Res. Not.} IMRN (16) (2015) 7162-7189. Geometric invariant theory, Kähler manifolds, Kähler-Einstein manifolds, Fano varieties, Divisors, linear systems, invertible sheaves Alpha invariants and \(K\)-stability for general polarizations of Fano 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 weighted projective spaces; curves; Ehrhart polynomial; multiplicity Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies On curves with high multiplicity on \(\mathbb{P}(a,b,c)\) for \(\min(a,b,c) \leq 4\) | 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 intersection theory; Mordell conjecture; Chow group A. J. de Jong, ``Ample line bundles and intersection theory'' in Diophantine Approximation and Abelian Varieties (Soesterberg, Netherlands, 1992) , ed. B. Edixhoven and J.-H. Evertse, Lecture Notes in Math. 1566 , Springer, Berlin, 1993, 69--76. Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves Ample line bundles and intersection theory | 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 Jacobians; linear systems on curves; rank of the Néron-Severi group Picard groups, Divisors, linear systems, invertible sheaves, Jacobians, Prym varieties On the Néron-Severi groups of the surface of special 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 minimal compact complex surfaces in class \(\text{VII}_0^+\); global spherical shells; singularities; \(\mathbb Q\)-Gorenstein; numerically Gorenstein; twisting coefficient [7] Dloussky G., Quadratic forms and singularities of genus one or two. Annales de la faculté des sciences de Toulouse vol 20 (2011), p15-69. Minimal model program (Mori theory, extremal rays), Compact complex surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Rational and birational maps Quadratic forms and singularities of genus one or two | 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; alterations; tame distillation; valued fields; valuations Temkin, M., Tame distillation and desingularization by \textit{p}-alterations, Ann. of Math. (2), 186, 1, 97-126, (2017) Global theory and resolution of singularities (algebro-geometric aspects), Ramification problems in algebraic geometry, Group actions on varieties or schemes (quotients), Valued fields, Valuations and their generalizations for commutative rings Tame distillation and desingularization by \(p\)-alterations | 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 enumerative algebraic geometry; tropical geometry; real linear series; real inflection points; real algebraic curves. Divisors, linear systems, invertible sheaves, Plane and space curves, Enumerative problems (combinatorial problems) in algebraic geometry, Topology of real algebraic varieties, Combinatorial aspects of tropical varieties Real inflection points of real hyperelliptic 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 log terminal singularities; log canonical singularities; F-regularity; F-purity; F-singularities of pairs; Frobenius map; charachteristic \(p\); effective divisor Hara, N.; Watanabe, K.-I., \textit{F}-regular and \textit{F}-pure rings vs. log terminal and log canonical singularities, J. Algebraic Geom., 11, 2, 363-392, (2002) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves F-regular and F-pure rings vs. log terminal and log canonical 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 effective Cartier divisors on integral projective curve; vector bundles on singular curves; desingularization; moduli spaces of semi-stale generalized parabolic sheaves Vector bundles on curves and their moduli, Singularities of curves, local rings, Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, Global theory and resolution of singularities (algebro-geometric aspects) Generalized parabolic sheaves on an integral projective 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 singularities; idealistic exponents; characteristic polyhedra; Newton polyhedra; resolution of singularities Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Idealistic exponents: tangent cone, ridge, characteristic polyhedra | 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 Bauer, Th.; Szemberg, T.: The effect of points fattening in dimension three. Lond. math. Soc. lect. Note ser. 417, 1-11 (2015) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) The effect of points fattening in dimension three | 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 monomial valuations; resolution of singularities; continued fractions Valuation rings, Global theory and resolution of singularities (algebro-geometric aspects), Valuations, completions, formal power series and related constructions (associative rings and algebras) Monomial valuations, cusp singularities, and continued fractions | 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 Castelnuovo-Mumford regularity; defining equations; rational curve; multisecant line Noma, Atsushi: Rational curves of Castelnuovo-Mumford regularity d-r+1, J. algebra. 321, 2445-2460 (2009) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus Rational curves of Castelnuovo-Mumford regularity \(d - r+1\) | 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 positive self-intersection; good position in projective plane; rational surfaces; anticanonical class; numerically effective divisor classes; generic blowings up Harbourne, B.: Rational surfaces with \textit{K}\^{}\{2\}\ >\ 0. Proc. Am. Math. Soc. 124(3), 727-733 (1996) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Computational aspects and applications of commutative rings Rational surfaces with \(K^ 2>0\) | 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 Iitaka fibration; stability of the cotangent bundle Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(n\)-folds (\(n>4\)), Families, moduli, classification: algebraic theory Manifolds with nef rank 1 subsheaves in \(\Omega_X^1\) | 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 algebraic surfaces; algebraic curves; fibrations; semistable fibrations; primitive coverings Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry, Divisors, linear systems, invertible sheaves, Surfaces of general type Semistable fibrations over an elliptic curve with only one singular fibre | 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 blow-up; birational morphism; Grothendieck flattening; geometrically flat modules Villamayor U., O. E., On flattening of coherent sheaves and of projective morphisms, J. Algebra, 295, 1, 119-140, (2006), MR 2188879 Rational and birational maps, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Global theory and resolution of singularities (algebro-geometric aspects) On flattening of coherent sheaves and of projective morphisms | 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 resolutions; hypersurfaces; complete intersections; isolated singularities; global dimensions H. Dao, Remarks on non-commutative crepant resolutions of complete intersections, Adv. Math. 224 (2010), no. 3, 1021-1030. Cohen-Macaulay modules, Homological functors on modules of commutative rings (Tor, Ext, etc.), Global theory and resolution of singularities (algebro-geometric aspects), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Remarks on non-commutative crepant resolutions of complete intersections | 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 closures of 3-dimensional orbits of algebraic SL(2)-modules; height; minimal equivariant desingularization Global theory and resolution of singularities (algebro-geometric aspects), Group actions on varieties or schemes (quotients), \(3\)-folds, Representation theory for linear algebraic groups, Arithmetic varieties and schemes; Arakelov theory; heights Resolution of singularities of affine, normal, quasihomogeneous \(SL_ 2\)-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 set of points; prescribed deviation Global theory and resolution of singularities (algebro-geometric aspects), Relevant commutative algebra, Étale and other Grothendieck topologies and (co)homologies, Projective techniques in algebraic geometry On the minimal free resolution of finite sets in \(\mathbb{P}^ N\) | 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 bundle; generically ample divisors; big line bundle; Gorenstein surface; adjunction mapping; minimal desingularization [A-S] M. Andreatta--A.J. Sommese, Generically ample divisors on normal Gorenstein surfaces, Contemporary Mathematics, Proc. I.M.A. Singularities, vol 90 (1989), p. 1--19 Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special surfaces Generically ample divisors on normal Gorenstein 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 \(3\)-folds, Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory) On threefolds admitting a trigonal curve as abstract complete intersection | 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 bundle; ample divisor; projective variety Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli The existence of varieties whose hyperplane section is \({\mathbb{P}}^ r\)- bundle | 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 geometric invariant theory; Hassett-Keel program; log canonical model Casalaina-Martin, S.; Jensen, D.; Laza, R., Log canonical models and variation of GIT for genus 4 canonical curves, J. Algebraic Geom., 23, 727-764, (2014) Geometric invariant theory, Families, moduli of curves (algebraic), Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Parametrization (Chow and Hilbert schemes), Special algebraic curves and curves of low genus Log canonical models and variation of GIT for genus 4 canonical 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 maximal rank of jets; divisor Alexander, J.; Hirschowitz, A.: Interpolation on jets. J. algebra 192, 412-417 (1997) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Interpolation on jets | 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 blow-up of projective space; globally generated divisors; abundance conjecture; F-conjecture Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Hypersurfaces and algebraic geometry Positivity of divisors on blown-up projective spaces. 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 Bogomolov-Gieseker conjecture; negative squares; wall-crossing Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Divisors, linear systems, invertible sheaves, \(3\)-folds, Rational and birational maps An application of wall-crossing to Noether-Lefschetz loci | 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 Haase, C.: Lattice polytopes and unimodular triangulations, Ph.D. thesis, Technical University of Berlin (2000) Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Global theory and resolution of singularities (algebro-geometric aspects), Complete intersections, Singularities in algebraic geometry Lattice polytopes and triangulations. With applications to toric geometry | 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 Clifford index; Green's conjecture; k-gonal curve; linear series C. Bopp and M. Hoff, RelativeCanonicalResolution.m2--construction of relative canonical resolutions and Eagon-Northcott type compexes, a \({\mathtt{Macaulay2}}\) package. Available at http://www.math.uni-sb.de/ag-schreyer/index.php/people/researchers/75-christian-bopp, 2015. Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves A remark on linear series on general k-gonal 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 Hilbert function; Cayley-Bacharach property; fat point scheme; graded Betti number Guardo, E.; Tuyl, A., Some results on fat points whose support is a complete intersection minus a point, 257-266, (2005), Berlin Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Schemes and morphisms Some results on fat points whose support is a complete intersection minus a point | 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 blow up; projective space; Grassmannian; linear system; exceptional divisors Flavio Angelini, Ample divisors on the blow up of \(\mathbf P^ 3\) at points , Manuscripta Math. 93 (1997), no. 1, 39-48. Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Ample divisors on the blow up of \(\mathbb{P}^3\) at points | 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 Del Pezzo manifolds; extremal ray; very ample line bundle; adjunction; Mori theory BELTRAMETTI M. C. and SOMMESE A. J., ''New properties of special varieties arising from adjunction theory'', J. Math. Soc. Japan 43 (1991), 381--412. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Special varieties, Structure of families (Picard-Lefschetz, monodromy, etc.) New properties of special varieties arising from adjunction theory | 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 non-commutative desingularization; sparse spectral sequence; simple representations; tautological Koszul complex; maximal Cohen-Macaulay; quivers; Clifford algebra Abhyankar, S.: Uniformization in a \( p\)-cyclic extension of a two dimensional regular local domain of residue field characteristic \( p\) . Festschrift zur Gedächtnisfeier für Karl Weierstrass 1815 - 1965, Wissenschaftliche Abhandlungen des Landes Nordrhein-Westfalen \textbf{33} (1966), 243-317, Westdeutscher Verlag, Köln und Opladen Noncommutative algebraic geometry, Cohen-Macaulay modules, Global theory and resolution of singularities (algebro-geometric aspects), Riemann-Roch theorems, Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Representations of quivers and partially ordered sets Non-commutative desingularization of determinantal 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 numerically effective divisor; Riemann-Roch type inequalities [M] T. Matsusaka,On Numerically Effective Divisors with Positive Self-intersection Number, Jour. Fac. Sci. Univ. of Tokyo (1991) Riemann-Roch theorems, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry On numerically effective divisors with positive self-intersection numbers | 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 Global theory and resolution of singularities (algebro-geometric aspects) On constructive 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 Quot scheme; small modification; Mori dream space Divisors, linear systems, invertible sheaves, Special varieties On birational geometry of the space of parametrized rational curves in Grassmannians | 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 ring; Hodge conjecture; desingularization of hypersurface [S1] Schoen, C.: Algebraic cycles on certain desingularized nodal hypersurfaces, Math. Ann.270, 17-27 (1985) Transcendental methods, Hodge theory (algebro-geometric aspects), Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Algebraic cycles on certain desingularized nodal 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 power series ring; characteristic pairs; singularity; JFM 50.0432.03; Puiseux series; multiplicity sequence of a resolution Formal power series rings, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves Characteristic pairs along the resolution sequence | 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 Carlini, E., Grieve, N., Oeding, L.: Four lectures on secant varieties. In: Cooper, S.M., Sather-Wagstaff, S. (eds.) Connections Between Algebra, Combinatorics, and Geometry. Springer Proceedings in Mathematics and Statistics, vol.~76, pp.~101-146. Springer, New York (2014) Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Four lectures on secant 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 hypersurface arrangement; logarithmic bundles; Torelli problem Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Torelli problem, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Logarithmic bundles of hypersurface arrangements in \(\mathbb P^n\) | 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; Zariski decomposition; elliptic fibration Elliptic surfaces, elliptic or Calabi-Yau fibrations, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) Higher dimensional elliptic fibrations and Zariski decompositions | 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 test ideal; globally generated K. Schwede, A canonical linear system associated to adjoint divisors in characteristic \( p>0\), Journal für die reine und angewandte Mathematik. to appear. Divisors, linear systems, invertible sheaves, Positive characteristic ground fields in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure A canonical linear system associated to adjoint divisors in characteristic \(p>0\) | 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 surface; equisingularity Dwi Juniati & David Trotman, Determination of Lipschitz stratifications for the surfaces \(y^a = z^b x^c + x^d\), Singularités Franco-Japonaises, Séminaires et Congrès 10, Société Mathématique de France, 2005, p. 127-138 Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Real algebraic sets, Equisingularity (topological and analytic) Determination of Lipschitz stratifications for the surfaces \(y^a= z^bx^c+ x^d\) | 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 Hilbert function; fat points; matroids Geramita, A. V.; Harbourne, B.; Migliore, J., Classifying Hilbert functions of fat point subschemes in \(\mathbb P^2\), Collect. Math., 60, 159-192, (2009) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Syzygies, resolutions, complexes and commutative rings, Low codimension problems in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Classifying Hilbert functions of fat point subschemes in \(\mathbb{P}^2\) | 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; mixed characteristic Perfectoid spaces and mixed characteristic, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Group actions on varieties or schemes (quotients) Keel's base point free theorem and quotients in mixed 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 Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves On the \(q\)-ampleness of the tensor product of two line 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 algebraic geometry (textbook); commutative algebra (textbook); finitely generated algebras; schemes; projective schemes; local rings; Kähler differentials; sheaves; algebraic curve Patil, D.P., Storch, U.: Introduction to algebraic geometry and commutative algebra, IISc Lecture Notes Series, vol. 1. World Scientific Publishing Co., Pte. Ltd., Bangalore. IISc Press, Hackensack, NJ (2010) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Schemes and morphisms, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Regular local rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Introduction to algebraic geometry and commutative algebra | 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 quiver with relation; maximal modification algebra; noncommutative crepant resolution; toric geometry; graded rank 1 Cohen-Macaulay modules; dimer models; dimers; mutations R. Bocklandt, \textit{Generating toric noncommutative crepant resolutions}, arXiv:1104.1597 [INSPIRE]. Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects) Generating toric noncommutative crepant 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 polarized variety; Seshadri constant; hypersurfaces; ampleness; bigness; ample curve; big curve Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves Positive curves in 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 complete intersection; analytic spread; linkage; Cohen-Macaulay local rings; Gorenstein normal local ring; factorial Huneke C., J. London Math. Soc 32 pp 19-- (1985) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Regular local rings Criteria for complete intersections | 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 variety; equivariant desingularizations; dimension 3; terminal model; flop Bouvier, C.; Gonzalez-Sprinberg, G., Système générateur minimal, diviseurs essentiels et G-désingularisations des variétés toriques, \textit{Tohoku Math. J.}, 47, 2, 125-149, (1995) Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on varieties or schemes (quotients) Minimal generating system, essential divisors and \(G\)-desingularisation 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 rational surface singularity; Kollár's conjecture; symbolic algebra; modifications Deformations of singularities, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties On the canonical algebra of smoothings of sandwiched 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 derived algebraic geometry; deformation theory; Picard group Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Divisors, linear systems, invertible sheaves On line bundles in derived algebraic geometry | 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 homogeneous singularity; log-resolution; local system; multiplier ideal; finite abelian cover; Hodge spectrum; spectrum multiplicity; monodromy zeta function Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Multiplier ideals, Global theory of complex singularities; cohomological properties, Mixed Hodge theory of singular varieties (complex-analytic aspects) On complex homogeneous 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 stable reduction of the Fermat curve Arithmetic ground fields for curves, Global theory and resolution of singularities (algebro-geometric aspects), Special algebraic curves and curves of low genus, Global ground fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Singularities of surfaces or higher-dimensional varieties Resolution of surface singularities and stable reduction of Fermat 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 finite ring extension; local normal domains; complete intersection Griffith P., J. Algebra 137 (2) pp 473-- (1991) Extension theory of commutative rings, Regular local rings, Ramification problems in algebraic geometry, Linkage, complete intersections and determinantal ideals Some results in local rings on ramification in low codimension | 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 K3-section; linear systems; Clifford index Donagi, R., and Morrison, D. R., \textit{Linear systems on K}3\textit{-sections}, J. Differential Geom. 29 (1989), no. 1, 49--64. Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, \(K3\) surfaces and Enriques surfaces Linear systems on K3-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 multiplier ideals; Samuel multiplicity; monomial ideals DOI: 10.1090/S0002-9947-06-03862-1 Singularities in algebraic geometry, Regular local rings, Deformations of singularities, Multiplicity theory and related topics Length, multiplicity, and multiplier ideals | 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 minimal model; weak Zariski decomposition; LC pairs Kollár, J.: Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 32. Springer, Berlin (1996). 10.1007/978-3-662-03276-3 Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves On existence of log minimal models and weak Zariski decompositions | 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 irregular variety; Brill-Noether theory; Albanese dimension M. Mendes Lopes, R. Pardini, G. P. Pirola, Brill-Noether loci for divisors on irregular varieties. \textit{J}. \textit{Eur}. \textit{Math}. \textit{Soc}. \textbf{16} (2014), 2033-2057. MR3274784 Zbl 1317.14019 Divisors, linear systems, invertible sheaves, Surfaces of general type, Special divisors on curves (gonality, Brill-Noether theory) Brill-Noether loci for divisors on irregular 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 ruled surface; class; quadric fibration; degree; hyperplane bundle; adjunction theory A. Lanteri and F. Tonoli, Ruled surfaces with small class, Comm. Algebra 24 (1996), 3501--3512. Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) Ruled surfaces with 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 Schur diagrams; partitions Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry, Projective techniques in algebraic geometry Vanishing theorems and degeneracy loci in small corang | 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 anticanonical rational surfaces; minimal models of smooth rational surfaces; Hodge index theorem; points in general position; Néron-Severi group; blowing-up Lahyane, M.: Exceptional curves on smooth rational surfaces with \(-\)\ \textit{K} not nef and of self-intersection zero. Proc. Am. Math. Soc. 133, 1593-1599 (2005) Rational and ruled surfaces, Rational and birational maps, Divisors, linear systems, invertible sheaves Exceptional curves on smooth rational surfaces with \(-K\) not nef and of self-intersection 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 bound on the degree of the rank 1 locus; map of vector bundles; determinantal loci; Castelnuovo theory; Clifford theory; products of linear series; Clifford index D. Eisenbud, J. Harris: An intersection bound for rank 1 loci, with applications to Castelnuovo and Clifford theory, J. Alg. Geom.1, 31--60 (1992) Determinantal varieties, Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry An intersection bound for rank 1 loci, with applications to Castelnuovo and Clifford theory | 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 polyhedra; Whitney equisingularity Equisingularity (topological and analytic), Toric varieties, Newton polyhedra, Okounkov bodies The integral closure of ideals and Whitney equisingularity of germs 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 constellation of infinitely near points; Enriques diagrams; cluster; toric constellations Campillo, A., Gonzalez-Sprinberg, G., Lejeune-Jalabert, M.: Enriques diagrams, resolutions and toric clusters. Comptes Rendus de l'Académie de Sciences - Série I - Mathématiques 320, 329-334 (1995) Infinitesimal methods in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects) Enriques diagrams, resolutions and toric clusters | 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; idealistic exponents; positive characteristic; determinantal varieties Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Determinantal varieties Partial local resolution by characteristic zero methods | 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; Frobenius-Seshadri constant; globally generated Mircea Mustaţă and Karl Schwede, A Frobenius variant of Seshadri constants, Math. Ann. 358 (2014), no. 3-4, 861 -- 878. Divisors, linear systems, invertible sheaves, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure A Frobenius variant of 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 threefolds with canonical singularities; Fujita's freeness conjecture; Gorenstein terminal singularities; quotient singularities Kakimi, N.: On the multiplicity of terminal singularities on threefolds Divisors, linear systems, invertible sheaves, \(3\)-folds, Singularities of surfaces or higher-dimensional varieties Freeness of adjoint linear systems on threefolds with terminal Gorenstein singularities or some quotient 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 Minimal Model Program; stable base loci [3] Sébastien Boucksom, Amaël Broustet &aGianluca Pacienza, &Uniruledness of stable base loci of adjoint linear systems via Mori theory&#xMath. Z.275 (2013) no. 1-2, p.~499Article | &MR~31 | &Zbl~1278. Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Uniruledness of stable base loci of adjoint linear systems via Mori theory | 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 affine cone; anticanonical divisor; cylinder; del Pezzo surface; du Val singularity; \(\mathbb G_{a}\)-action; minimal resolution; log canonical singularity; weak del Pezzo surface I. Cheltsov, J. Park and J. Won, Cylinders in del Pezzo surfaces, preprint (2015), . Divisors, linear systems, invertible sheaves, Rational and birational maps, Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, Fano varieties, Group actions on affine varieties, Affine fibrations Cylinders in singular del Pezzo 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 factorial ring; Weil divisor; projectively normal scheme; factorication algorithm Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Divisors, linear systems, invertible sheaves, Picard groups, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Polynomials, factorization in commutative rings Some remarks on factorial quotient rings | 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 variety; Grassmannian; Poincare-Hilbert series Witaszek, J.: The Degeneration of the Grassmannian into a Toric Variety and the Calculation of the Eigenspaces of a Torus Action. arXiv:1209.3689 [math.AG] (2012) Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves The degeneration of the Grassmannian into a toric variety and the calculation of the eigenspaces of a torus action | 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 quadrics of rank four; dimension; Brill-Noether theory; bicanonical curve Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Pencils, nets, webs in algebraic geometry On the variety of quadrics of rank four containing a projective 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 sheaves on a projective \(K3\) surface; Chern class; moduli space; desingularization; G.I.T. quotients O'Grady, Kieran G., Desingularized moduli spaces of sheaves on a \(K3\), J. Reine Angew. Math., 512, 49-117, (1999) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(K3\) surfaces and Enriques surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli, classification: algebraic theory Desingularized moduli spaces of sheaves on a \(K3\) | 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; ample determinant; rank 2 bundles on a minimal ruled surface E. Ballico and A. Lanteri, An indecomposable rank-\(2\) vector bundle the complete linear system of whose determinant consists of hyperelliptic curves , Boll. Un. Mat. Ital. A (7) 3 (1989), no. 2, 225-230. Divisors, linear systems, invertible sheaves An indecomposable rank-2 vector bundle the complete linear system of whose determinant consists of hyperelliptic 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 sectional genus; classification of irregular ruled surfaces; very ample line bundle; iterating the adjunction process Biancofiore A., Livorni E.L.:Algebraic ruled surfaces with low sectional genus.Ricerche di Matematica.Vol.XXXVI,fasc.1{\(\deg\)} (1987) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Moduli, classification: analytic theory; relations with modular forms Algebraic ruled surfaces with low sectional genus | 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 universal polynomial of type \(E_ 8\); semi-universal deformation family of the simple singularity of type \(E_ 8\); universal polynoial of type \(E_ 8\) T. Shioda, Mordell-Weil lattices of type E 8 and deformation of singularities, in: Lecture Notes in Math. 1468 (1991), 177-202. Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Mordell-Weil lattices of type \(E_ 8\) and deformation 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 Seshadri constant; multipoint Seshadri constant; Pell's equation Szemberg, T, Bounds on Seshadri constants on surfaces with Picard number 1, Commun. Algebra, 40, 2477-2484, (2012) Divisors, linear systems, invertible sheaves Bounds on Seshadri constants on surfaces with Picard number 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 gonality sequence; covering curves Keem, C.; Martens, G., The gonality sequence of covering curves, Arch. Math., 105, 33-43, (2015) Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves The gonality sequence of covering curves | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.