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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 Alexeev, Valery; Swinarski, David, Nef divisors on \(\overline{M}_{0, n}\) from GIT, (Geometry and Arithmetic, EMS Ser. Congr. Rep., (2012), Eur. Math. Soc. Zürich), 1-21 Geometric invariant theory, Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Picard groups Nef divisors on \(\bar{M}_{0,n}\) from GIT | 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) Functorial desingularization over \(\mathbb Q\): boundaries and the embedded 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 torsors; Cartier divisors; Chern classes; Stiefel-Whitney classes Divisors, linear systems, invertible sheaves, Sheaf cohomology in algebraic topology, Algebraic groups Lectures on torsors and 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 C. Galindo and F. Monserrat, The Poincaré problem, algebraic integrability and dicritical divisors, J. Differential Equations, 256 (2014), 3614--3633. Structure of families (Picard-Lefschetz, monodromy, etc.), Singularities of holomorphic vector fields and foliations, Divisors, linear systems, invertible sheaves, Ordinary differential equations on complex manifolds, Foliations in differential topology; geometric theory, Moduli, classification: analytic theory; relations with modular forms The Poincaré problem, algebraic integrability and dicritical 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 singularities; resolution of singularities; algebraic plane curves; knots and links L. Fourrier, \(Topologie d'un polynome de deux variables complexes au voisinage de l'infini\), Annales de l'institut Fourier, 46 (1996), 645-687 Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Topology of a polynomial of two complex variables at the neighbourhood of infinity | 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 computer algebra; polynomial factorization; reducible curves; function fields; divisors; algebraic extensions Duval D (1991) Absolute factorization of polynomials: a geometric approach. SIAM J Comput 20:1--21 Symbolic computation and algebraic computation, Polynomials in real and complex fields: factorization, Algebraic functions and function fields in algebraic geometry, Divisors, linear systems, invertible sheaves, Algebraic field extensions Absolute factorization of polynomials: A geometric approach | 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; dicritical divisors; two-dimensional Jacobian problem S. S. Abhyankar and I. Luengo, Algebraic theory of dicritical divisors, to appear. Global theory and resolution of singularities (algebro-geometric aspects), Jacobian problem Dicritical divisors after S.S. Abhyankar and I. Luengo | 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; fat points; linear systems of plane curves Eckl, T., Ciliberto--miranda degenerations of \(\mathbb{C} \mathbb{P}^2\) blown up in 10 points, J. Pure Appl. Algebra, 215, 672-696, (2011) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Ciliberto-Miranda degenerations of \(\mathbb {CP}^2\) blown up in 10 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 Cox rings; log terminal singularities; Fano varieties Rational and birational maps, Elliptic curves over global fields, Divisors, linear systems, invertible sheaves, Fano varieties Singularities of Cox rings 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 normal surface singularities; hyperplane sections; smoothing of curve singularity; Kulikov singularity; resolution graph; Gorenstein singularity Stevens, J.: Elliptic surface singularities and smoothings of curves. Math. Ann.267, 239-249 (1984) Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects) Elliptic surface singularities and smoothing 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 log pair; log canonical; Tian's \(\alpha\)-invariant; del Pezzo surface; Cremona group Cheltsov, I., Two local inequalities, Izv. Ross. Akad. Nauk Ser. Mat., 78, 167-224, (2014) Divisors, linear systems, invertible sheaves, Birational automorphisms, Cremona group and generalizations, Singularities of surfaces or higher-dimensional varieties, Special surfaces Two local 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 special divisors; theta characteristics; trigonal curves Special algebraic curves and curves of low genus, Algebraic functions and function fields in algebraic geometry, Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves Theta characteristics in trigonal 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 Calabi-Yau threefold; numerically trivial canonical divisor; global index; Beauville number Oguiso, K, A remark on the global indices of \({\mathbb{Q}}\)-Calabi-Yau 3-folds, Math. Proc. Cambridge Philos. Soc., 114, 427-429, (1993) \(3\)-folds, Divisors, linear systems, invertible sheaves, Calabi-Yau manifolds (algebro-geometric aspects) A remark on the global indices of \(\mathbb{Q}\)-Calabi-Yau 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 alteration; resolution of singularities; semi-stable family of curves de Jong, A. J., Smoothness, semi-stability and alterations, Publ. Math. Inst. Hautes Études Sci., 83, 51-93, (1996) Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic), Singularities in algebraic geometry Smoothness, semi-stability and 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 blowup algebra; resolution of singularity; tame ideal; clutter Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Symbolic computation and algebraic computation, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Singularities in algebraic geometry On the blowup of affine spaces along monomial ideals: tameness | 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 tropical curves; divisors; linear systems; canonical embedding; chip-firing games; tropical convexity Curves in algebraic geometry, Divisors, linear systems, invertible sheaves, Games on graphs (graph-theoretic aspects) Linear systems on tropical 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 characteristic \(p\); uniformization of singularities; Newton polygon Moh, T.T.: On a Newton polygon approach to the uniformization of singularities of characteristic \(p\). In: Algebraic geometry and singularities (La Rábida, 1991), 49-93, Progr. Math.\textbf{134}, Birkhäuser (1996) Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Valuation rings, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure On a Newton polygon approach to the uniformization of singularities of characteristic \(p\) | 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; base locus; linear speciality; effective cone Brambilla, MC; Dumitrescu, O; Postinghel, E, On a notion of speciality of linear systems in \(\mathbb{P}^n\), Trans. Am. Math. Soc., 367, 5447-5473, (2015) Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry On a notion of speciality of linear systems 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 arithmetic surface; Arakelov theory; discriminant; pairing on curves; intersection number of horizontal divisors; Green's functions; divisor group Harbater, D.: Arithmetic discriminants and horizontal intersections. Mathematische annalen 291, 705-724 (1991) Arithmetic varieties and schemes; Arakelov theory; heights, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Global ground fields in algebraic geometry, Local ground fields in algebraic geometry Arithmetic discriminants and horizontal 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 Gorenstein terminal singularities; contractions; nef value morphism [An] Andreatta, M., Contraction of Gorenstein polarized varieties with high nef value, Math. Ann.300 (1994) 669--679. Minimal model program (Mori theory, extremal rays), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves Contractions of Gorenstein polarized varieties with high nef value | 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 syzygies; gonality; plane curves Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus A lower bound for the gonality 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 Cartier operator; non-hyperelliptic curves; effective divisors Divisors, linear systems, invertible sheaves, Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials A bound on the genus of a curve with Cartier operator of small rank | 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 modification; resolution of singularities; toroidal embedding D. Abramovich and J. Wang, Equivariant resolution of singularities in characteristic \(0\) , Math. Res. Lett. 4 (1997), 427-433. Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies Equivariant resolution of singularities in characteristic 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 Frühbis-Krüger, A., Pfister, G., October 2004. Practical aspects of algorithmic resolution of singularities. Tech. Rep. 33, Centre for Computer Algebra, University of Kaiserslautern, online available at http://www.mathematik.uni-kl.de/~zca Global theory and resolution of singularities (algebro-geometric aspects), Computational aspects of higher-dimensional varieties, Singularities in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects) Algorithmic 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 nef value morphism; ample line bundle; projective variety; adjunction theoretic classification Y. Zhao: On classification of polarized varieties with non-integral nef values , Proc. Amer. Math. Soc. 129 (2001), 1907-1913. Families, moduli, classification: algebraic theory, Adjunction problems, Divisors, linear systems, invertible sheaves On classification of polarized varieties with non-integral nef values | 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 Kojima H., Arch. Math. 80 pp 239-- (2003) Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves A note on Sakai's theorem concerning polarized normal 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 Néron-Severi group; Lefschetz \((1,1)\)-theorem Motivic cohomology; motivic homotopy theory, Divisors, linear systems, invertible sheaves, Algebraic cycles The Néron-Severi group of a proper seminormal complex 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 S.~B. Iyengar, G.~J. Leuschke, A.~Leykin, C.~Miller, E.~Miller, A.~K. Singh, and U.~Walther, \emph{Twenty-four hours of local cohomology}, Graduate Studies in Mathematics, vol.~87, American Mathematical Society, Providence, RI, 2007. zbl 1129.13001; MR2355715 Research exposition (monographs, survey articles) pertaining to commutative algebra, Local cohomology and commutative rings, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative rings of differential operators and their modules, Local cohomology and algebraic geometry, Regular local rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, de Rham cohomology and algebraic geometry, Sheaf cohomology in algebraic topology Twenty-four hours of local cohomology | 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 hypersurfaces; quadratic singularities; rigid isotopy; diffeomorphism type; signature; discriminant group; Milnor lattice; connected-sum decomposition Complex surface and hypersurface singularities, Differential topological aspects of diffeomorphisms, Hypersurfaces and algebraic geometry, Isotopy in differential topology, Equisingularity (topological and analytic) Connected-sum decomposition of complex projective hypersurfaces with quadratic 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 log terminal surfaces with ample canonical divisor Special surfaces, Divisors, linear systems, invertible sheaves An example concerning Alexeev's boundedness results on log 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 semiampleness; vanishing theorems; vector bundles Vanishing theorems in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves Semiample and \(k\)-ample vector 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 topological zeta functions; singularity invariants Grothendieck, A.: \textit{Revêtements étales et groupe fondamental}. Séminaire de géométrie algébrique du BoisMarie 1960-61 (SGA 1). Updated and annotated reprint of the 1971 original. Vol. 3 of Documents Mathématiques (Paris). Société Mathématique de France, Paris (2003) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Modifications; resolution of singularities (complex-analytic aspects), Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) On the poles of maximal order of the topological zeta function | 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 canonical divisor; adjunctions of ample vector bundles; log-terminal singularities; Gorenstein variety Singularities of surfaces or higher-dimensional varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves Ample vector bundles on singular varieties. 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 lifting problems; birational geometry; deformation theory; singularities; stacky resolutions Liedtke, C; Satriano, M, On the birational nature of lifting, Adv. Math., 254, 118-137, (2014) Rational and birational maps, Formal methods and deformations in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Stacks and moduli problems, Witt vectors and related rings, Global theory and resolution of singularities (algebro-geometric aspects) On the birational nature of lifting | 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 topological zeta functions for ideals; Verdier monodromy; monodromy conjecture L. van Proeyen and W. Veys, ''The monodromy conjecture for zeta functions associated to ideals in dimension two,'' Ann. Inst. Fourier (Grenoble), 60:4 (2010), 1347--1362. Global theory and resolution of singularities (algebro-geometric aspects), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Singularities of curves, local rings The monodromy conjecture for zeta functions associated to ideals in dimension 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 dimension of adjoint linear series; positivity of ample line bundles; number of sections; line bundle; multiple point Seshadri constant; very general points Küchle, O, Multiple point Seshadri constants and the dimension of adjoint linear series, Ann. Inst. Fourier (Grenoble), 46, 63-71, (1996) Divisors, linear systems, invertible sheaves Multiple point Seshadri constants and the dimension of adjoint linear series | 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 Kobayashi hyperbolicity; ample cotangent bundle; Debarre conjecture; Kobayashi conjecture; Diverio-Trapani conjecture Hyperbolic and Kobayashi hyperbolic manifolds, Complete intersections, Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves On the Diverio-Trapani 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 Fano variety; K-stability; higher codimensional alpha invariant; characterization of projective space Fano varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves Higher codimensional alpha invariants and characterization of 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 nef class; curve with general moduli; Neron-Severi group Pacienza, Gianluca, On the nef cone of symmetric products of a generic curve, Amer. J. Math., 125, 5, 1117-1135, (2003) Special divisors on curves (gonality, Brill-Noether theory), (Equivariant) Chow groups and rings; motives, Curves in algebraic geometry, Divisors, linear systems, invertible sheaves On the nef cone of symmetric products of a generic 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 property \(N_p\); line bundle on complex torus Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties, Syzygies, resolutions, complexes and commutative rings On syzygies of abelian 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 Ide, M., Every curve of genus not greater than eight lies on a \textit{K}3 surface, Nagoya Math. J., 190, 183-197, (2008) Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces Every curve of genus not greater than eight lies on a \(K3\) surface | 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 classifying singularities; space curve singularities; saturation; value semigroups; semigroups of one dimensional C. M. local rings; canonical resolution Campillo, A.; Delgado, F.; Núñez, C. A.: The arithmetic of arf and saturated semigroups, Appl. rev. Real acad. Cienc. exact. Fís. natur. Madrid 82, No. 1, 161-163 (1988) Singularities of curves, local rings, Singularities in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Global theory and resolution of singularities (algebro-geometric aspects) Arithmetic of the Arf semigroups and saturations. 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 point configurations; Waldschmidt constants; symbolic powers; projective space G. Malara, T. Szemberg, J. Szpond, On the hierarchy of Fermat ideals, work in progress. Divisors, linear systems, invertible sheaves, Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Complex surface and hypersurface singularities On a conjecture of Demailly and new bounds on Waldschmidt constants 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 McKay principal; Equivariant geometry Global theory and resolution of singularities (algebro-geometric aspects), McKay correspondence, Geometric class field theory Cohomological Hasse principle and resolution of 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 complex polarized \(n\)-fold; ample line bundle; nefvalue morphism; Gorenstein; terminal; \(\mathbb{Q}\)-factorial singularities; adjunction theory; special varieties M.C. Beltrametti and S. Di Termini: Higher dimensional polarized varieties with non-integral nef value , Adv. Geom. 3 (2003), 287-299. Adjunction problems, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory Higher dimensional polarized varieties with non-integral nefvalue | 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 Herbaut F.: Algebraic cycles on the Jacobian of a curve with a linear system of given dimension. Compos. Math. 143(4), 883--899 (2007) (Equivariant) Chow groups and rings; motives, Divisors, linear systems, invertible sheaves, Algebraic cycles, Subvarieties of abelian varieties Algebraic cycles on the Jacobian of a curve with a linear system of given 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 degree of divisor; projective space curve; universal family of curves MESTRANO (N.) . - Degré des diviseurs sur les familles de courbes de \Bbb P3 . Math. Ann., vol. 270, 1985 , p. 461-465. MR 86h:14020 | Zbl 0612.14026 Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Degré des diviseurs sur les familles de courbes de \({\mathbb{P}}^ 3\). (Degree of divisors on families of curves of \({\mathbb{P}}^ 3)\) | 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 polarized manifold; adjoint bundle; sectional geometric genus Divisors, linear systems, invertible sheaves, \(4\)-folds A note on the dimension of global sections of adjoint bundles for polarized 4-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 Bruno, A.D.; Batkhin, A.B., Resolution of an algebraic singularity by power geometry algorithms, Program. Comput. Software, 38, 57-72, (2012) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Global theory and resolution of singularities (algebro-geometric aspects) Resolution of an algebraic singularity by power geometry algorithms | 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 bundles; Fujita's conjecture; effective results Divisors, linear systems, invertible sheaves, Sheaves in algebraic geometry, Singularities of surfaces or higher-dimensional varieties On the effective freeness of the direct images of pluricanonical 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 Russell, H.: Generalized Albanese and its dual, Doctoral dissertation, University of Essen (2006) Research exposition (monographs, survey articles) pertaining to algebraic geometry, (Equivariant) Chow groups and rings; motives, Divisors, linear systems, invertible sheaves Generalized Albanese and its dual | 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; threefolds; positive characteristic C. Xu, On the base-point-free theorem of \(3\)-folds in positive characteristic, J. Inst. Math. Jussieu 14 (2015), no. 3, 577--588. Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Rational and birational maps On the base-point-free theorem of 3-folds 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 nonalgebraically closed ground field; real divisor class group; factorial coordinate domain; ideal of definition Margherita Roggero, Sui sistemi lineari e il gruppo delle classi di divisori di una varietà reale, Ann. Mat. Pura Appl. (4) 135 (1983), 349 -- 362 (1984) (Italian). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Real algebraic and real-analytic geometry, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves On linear systems and the divisor class group of a real 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 tensor product of \(k\)-algebras; regular ring; embedding dimension; Krull dimension; embedding codimension; separable extension Regular local rings, Polynomial rings and ideals; rings of integer-valued polynomials, Rings of fractions and localization for commutative rings, Commutative Noetherian rings and modules, Homological dimension and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Embedding dimension and codimension of tensor products of algebras over a 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 Semple 24 (2003) Rational and birational maps, Global theory and resolution of singularities (algebro-geometric aspects), (Equivariant) Chow groups and rings; motives Belghitti-Gruson or Semple? | 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 generic vanishing; birational map; Albanese morphism Cai, J., Liu, W., Zhang, L.: Automorphisms of surfaces of general type with \(q \geq 2\) acting trivially in cohomology. Comput. Math. \textbf{149}(10), 1667-1684 (2013). 10.1112/S0010437X13007264 \(n\)-folds (\(n>4\)), Divisors, linear systems, invertible sheaves Generic vanishing index and the birationality of the bicanonical map of 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 smooth projective variety; ample vector bundle; Mori theory; locally adjunction theory of vector bundles Andreatta, M. , Ballico, E. and Wiśniewski, J. : Vector bundles and adjunction , Int. J. Math. 3 (1992) 331-340. \(4\)-folds, Divisors, linear systems, invertible sheaves Vector bundles and adjunction | 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 Reflexive sheaf; reflexive module; locally free sheaf; resolution of singularity; quadratic transform Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Other special types of modules and ideals in commutative rings, Multiplicity theory and related topics Singularities of reflexive sheaves | 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 family of curves having a special fibre Families, moduli of curves (algebraic), Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Existence of some specializations of projective 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 orbifold Euler number; stringy Euler number; non-archimedean integration; McKay correspondence; motivic integration; Kawamata log-terminal pair; stringy \(E\)-function V. V. Batyrev, ''Non-Archimedean Integrals and Stringy Euler Numbers of Log-Terminal Pairs,'' J. Eur. Math. Soc. 1, 5--33 (1999). Global theory and resolution of singularities (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Mixed Hodge theory of singular varieties (complex-analytic aspects), Non-Archimedean analysis, Measures (Gaussian, cylindrical, etc.) on manifolds of maps, Toric varieties, Newton polyhedra, Okounkov bodies, Minimal model program (Mori theory, extremal rays) Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs | 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 arrangement; Orlik-Terao algebra; resonance variety Schenck, H., Resonance varieties via blowups of \(\mathbb{P}^2\) and scrolls, Int. Math. Res. Not. IMRN, 20, 4756-4778, (2011) Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, Pencils, nets, webs in algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Determinantal varieties Resonance varieties via blowups of \(\mathbb P^{2}\) 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 sums of square representation; projective Positivstellensatz; totally real divisor Scheiderer, C., A positivstellensatz for projective real varieties, \textit{Manuscripta Mathematica},, \textit{138}, 1, 73-88, (2012) Real algebraic sets, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Real algebra, Sums of squares and representations by other particular quadratic forms A Positivstellensatz for projective real 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; polynomials Abhyankar, S.S.: Polynomial Expansion. Proceedings of the American Mathematical Society, vol. 126, pp. 1583--1596 (1998) Global theory and resolution of singularities (algebro-geometric aspects), Polynomials over commutative rings Polynomial expansion | 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 degenerations of surfaces; degenerations of abelian varieties; regular models Fibrations, degenerations in algebraic geometry, Abelian varieties of dimension \(> 1\), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Algebraic moduli of abelian varieties, classification Invariants of regular models of the product of two elliptic curves at a place of multiplicative reduction | 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 Yu. G. Prokhorov, ''A remark on the resolution of three-dimensional terminal singularities,'' Uspekhi Mat. Nauk [Russian Math. Surveys], 57 (2002), no. 4, 815--816. Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), Singularities in algebraic geometry A remark on the resolution of three-dimensional terminal 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 Motivic cohomology; motivic homotopy theory, Divisors, linear systems, invertible sheaves, Algebraic cycles Correction to: ``The Néron-Severi group of a proper seminormal complex 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 flag variety; resolution of singularities; intersection homology; Weyl group representations Walter Borho and Robert MacPherson, Partial resolutions of nilpotent varieties, Analysis and topology on singular spaces, II, III (Luminy, 1981) Astérisque, vol. 101, Soc. Math. France, Paris, 1983, pp. 23 -- 74. Group actions on varieties or schemes (quotients), Nilpotent and solvable Lie groups, Global theory and resolution of singularities (algebro-geometric aspects), Homogeneous spaces and generalizations, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Partial resolutions of nilpotent 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 double solid; nodal singularity; threefold; \(\mathbb Q\)-factoriality Hong, Kyusik; Park, Jihun, On factorial double solids with simple double points, J. Pure Appl. Algebra, 208, 1, 361-369, (2007) Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties, \(3\)-folds On factorial double solids with simple double 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 compacified Jacobian; singular curve; Abel map J L Kass, Singular curves and their compactified Jacobians (editors B Hassett, J McKernan, J Starr, R Vakil), Clay Math. Proc. 18, Amer. Math. Soc. (2013) 391 Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Picard schemes, higher Jacobians Singular curves and their compactified Jacobians | 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 Abramovich, D.: Birational geometry for number theorists, Arithmetic geometry. Clay Math. Proc. 8, 335--373, Am. Math. Soc. (2009) Minimal model program (Mori theory, extremal rays), Varieties over global fields, Commutative Noetherian rings and modules, Global theory and resolution of singularities (algebro-geometric aspects) Birational geometry for number theorists | 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 arithmetically Cohen-Macaulay surface; canonical divisor; arithmetically Gorenstein curves; subcanonical curves Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Plane and space curves, Special surfaces Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay 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 log terminal singularities; good contraction; pullback of a line bundle Andreatta M.: Some remarks on the study of good contractions. Manuscripta Math. 87, 359--367 (1995) Rational and birational maps, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Fano varieties Some remarks on the study of good 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Divisors, linear systems, invertible sheaves, Special surfaces, Subvarieties of abelian varieties Seshadri constants 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 algebraic surface; Brauer group; class group Brauer groups of schemes, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves The Brauer group of an affine double plane associated to a hyperelliptic 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 polarized manifold; adjunction theory; adjoint bundles; sectional genus; sectional geometric genus Divisors, linear systems, invertible sheaves, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\)) On classification of polarized 3-folds \((X,L)\) with \(h^0(K_X+2L)=2\) | 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 effective Iitaka fibration conjecture; pluricanonical map; log Calabi-Yau pair; minimal model program C. D. Hacon and C. Xu, Boundedness of log Calabi-Yau pairs of Fano type, \textit{Math. Res. Lett.} (to appear), arXiv:1410.8187. Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Calabi-Yau manifolds (algebro-geometric aspects) Boundedness of log Calabi-Yau pairs of Fano 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 equisingularity; invariants [GM]Gaffney, T. \&Massey, D., Trends in equisingularity theory, inSingularity Theory (Liverpool, 1996), pp. 207--248. London Math. Soc. Lecture Note Ser., 263. Cambridge Univ. Press. Cambridge, 1999. Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), History of algebraic geometry, History of mathematics in the 20th century Trends in equisingularity 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 positivity of a nef line bundle; Seshadri constant Ein, Lawrence; Lazarsfeld, Robert, Seshadri constants on smooth surfaces, Astérisque, 218, 177-186, (1993) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves Seshadri constants on smooth 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 foliation; resolution of singularities Da Silva, A. Belotto: Local resolution of singularities in foliated spaces. Rev. R. Acad. cienc. Exactas fís. Nat. ser. A math. RACSAM 110, 841-862 (2016) Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects) Local resolution of ideals subordinated to a foliation | 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 admissible differential algebra; Kähler differentials; geometric regularity; Kähler differents; semianalytic algebras; Frobenius sandwich; existence of p-bases; inseparable Galois theory; traces; residues; duality theorems Kunz, Ernst, Kähler differentials, Adv. Lectures Math., (1986), Friedr. Vieweg & Sohn Braunschweig Modules of differentials, Differential algebra, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to commutative algebra, Morphisms of commutative rings, Regular local rings Kähler differentials | 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 fundamental domain; resolutions of cusp singularities; algorithms; totally real cubic fields; values of partial zeta-functions; Hilbert varieties Grundman, HG, Explicit resolutions of cubic cusp singularities, Math. Comp., 69, 815-825, (2000) Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Algebraic number theory computations, Global theory and resolution of singularities (algebro-geometric aspects), Modular and Shimura varieties, Cubic and quartic extensions, Zeta functions and \(L\)-functions of number fields Explicit resolutions of cubic cusp 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 Fermat equations; generalized Fermat equations S. Siksek and M. Stoll, Partial descent on hyperelliptic curves and the generalized Fermat equation \(x\)\^{}\{3\} + \(y\)\^{}\{4\} + \(z\)\^{}\{5\} = 0, Bull. London Math. Soc. \textbf{44} (2012), 151-166. 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 Partial descent on hyperelliptic curves and the generalized Fermat equation \(x^3+y^4+z^5=0\) | 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 valuation; transcendental extension; polynomial ring Valuations and their generalizations for commutative rings, Valued fields, Global theory and resolution of singularities (algebro-geometric aspects) Admissible family associated with a valuation of \(\mathbf{K} ( \mathbf{X} )\) | 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 on projective K3 surface; Clifford index; linear system; Clifford- type inequality; vector bundles on a regular surface Green, ML; Lazarsfeld, R, Special divisors on curves on a \(K3\) surface, Invent. Math., 89, 357-370, (1987) \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Curves in algebraic geometry Special divisors on curves on a K3 surface | 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 ideals; big Cohen-Macaulay algebras; big Cohen-Macaulay modules; algebra closure; tight closure Cohen-Macaulay modules, Singularities in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Regular local rings, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Computational aspects and applications of commutative rings Characteristic-free test 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 algebraic family of divisors on a curve of genus g; Castelnuovo-Severi inequality; finite characteristic; linear series; equivalence defect; theta-divisor on the Jacobian variety Kani E.: Castelnuovo's equivalence defect. J. Reine Angew. Math. \textbf{352}, 24-70 (1984). Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Jacobians, Prym varieties, Theta functions and abelian varieties, Projective techniques in algebraic geometry On Castelnuovo's equivalence defect | 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 algorithm; embedded variety; coherent ideal; basic object Nobile, A.: Simultaneous algorithmic resolution of singularities, Geom. dedic. 163, 61-103 (2013) Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Families, fibrations in algebraic geometry Simultaneous algorithmic 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 Gorenstein formal fibre; counterexample to Artin approximation property A. Brezuleanu and C. Rotthaus, Completions to ``Local domains with bad sets of formal prime divisors'' , Rev. Roumaine Math. Pures Appl. 30 (1985), 605-612. Regular local rings, Complete rings, completion, Local deformation theory, Artin approximation, etc., Formal power series rings, Dimension theory, depth, related commutative rings (catenary, etc.), Power series rings Completions to: ``Local domains with bad sets of formal prime 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 adjoint line bundle; threefold polarized by an ample line bundle; ampleness of the ramification divisor \(3\)-folds, Divisors, linear systems, invertible sheaves On the ampleness of \(K_ X\otimes L^ n\) for a polarized threefold (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 resolution of singularities; positive characteristic; Rees algebras; differential operators A. Bravo and O. Villamayor, Singularities in positive characteristic, stratification and simplification of the singular locus. Adv. Math. 224 (2010), 1349-1418. Global theory and resolution of singularities (algebro-geometric aspects) Singularities in positive characteristic, stratification and simplification of the singular locus | 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 normal two dimensional singularities; elliptic singularities; Zariski's canonical resolution; minimal resolution M. Tomari, A \(p_g\)-formula and elliptic singularities, Publ. Res. Inst. Math. Sci. 21 (1985), no. 2, 297--354. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry A \(p_ g\)-formula and elliptic 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 linear system; Jacobian cycle; Chern class Cycles and subschemes, Characteristic classes and numbers in differential topology, Divisors, linear systems, invertible sheaves Jacobian loci and determinantal formula | 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 Waldschmidt constants; line arrangements; blow-ups; resurgence; Klein quartic; asymptotic resurgence; Wiman sextic Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Configurations and arrangements of linear subspaces Negative curves on symmetric blowups of the projective plane, resurgences, and Waldschmidt 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 Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Symplectic and contact topology in high or arbitrary dimension, Singularities of curves, local rings, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) On symplectic coverings of a projective plane. | 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 triple points; cubic equations Z. Chen, R. Du, S.-L. Tan and F. Yu, Cubic equations of rational triple points of dimension two , in American Mathematical Society, Providence, RI, 2007, 63-76. Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local complex singularities Cubic equations of rational triple points of dimension 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 complex hypersurface singularity; embedded topological type; multiplicity Eyral, C, Zariskis multiplicity question--a survey, N. Zeal. J. Math., 36, 253-276, (2007) Equisingularity (topological and analytic), Complex surface and hypersurface singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Singularities in algebraic geometry, Local complex singularities Zariski's multiplicity question -- a survey | 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 fat points; linear systems; postulation problem; unexpected hypersurfaces; Fermat-type arrangements Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Configurations and arrangements of linear subspaces, Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials Unexpected hypersurfaces with multiple fat 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 space curves; resolution; singularities; Hamburger-Noether matrix Singularities of curves, local rings, Plane and space curves, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) On the singularities of 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 Schröer, S.: Remarks on the existence of cartier divisors. Arch. math. 75, 35-38 (2000) Divisors, linear systems, invertible sheaves Remarks on the existence of Cartier 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 resolving the singularities; uniformization of hypersurface singularities [M]Moh, T. T., Canonical uniformization of hypersurface singularities of characteristic zero.Camm. Algebra 20 (1992), 3207--3251. Global theory and resolution of singularities (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry Quasi-canonical uniformization of hypersurface singularities of characteristic zero | 0 |
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