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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 Picard group; Picard number; real algebraic surface; homology; algebraic cycles; resolution of singularities Frédéric Mangolte, Une surface réelle de degré 5 dont l'homologie est entièrement engendrée par des cycles algébriques, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 4, 343 -- 346 (French, with English and French summaries). Singularities of surfaces or higher-dimensional varieties, Real algebraic sets, Classical real and complex (co)homology in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) A real algebraic surface of degree 5 whose homology is entirely generated by algebraic cycles. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 ideal; test ideal; \({\mathfrak a}^t\)-tight closure; uniform bound; Fujita's freeness conjecture Hara, N., A characteristic \(p\) analog of multiplier ideals and applications, Commun. Algebra, 33, 3375-3388, (2005) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Regular local rings, Effectivity, complexity and computational aspects of algebraic geometry A characteristic \(p\) analog of multiplier ideals 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 Esteves E., J. Pure Appl. Algebra 214 pp 1718-- (2010) Divisors, linear systems, invertible sheaves, Fibrations, degenerations in algebraic geometry Limits 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 resolution of singularities; alterations Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Dominant classes of projective 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 Cohen-Macaulay ring; regular local ring; multiplicity; Gorensteinness; integrally closed ideal Huneke C., Sally J. (1988). Birational extensions in dimension two and integrally closed ideals. J. Algebra 115:481--500 Regular local rings, Multiplicity theory and related topics, Rational and birational maps, Local rings and semilocal rings Birational extensions in dimension two and integrally closed 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 Fourier-Mukai functors; GV-objects; full-faithfulness criteria Divisors, linear systems, invertible sheaves Fully faithful Fourier-Mukai functors and generic vanishing | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 schemes; algebraic curves; linear series; gonality Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory) Irreducibility and components rigid in moduli of the Hilbert scheme of smooth curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Gieseker's lemma; linear system Divisors, linear systems, invertible sheaves, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli, classification: algebraic theory A generalization of Gieseker's lemma | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 game Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Characteristic polygon of surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system symplectic resolutions; Springer resolution; semisimple Lie algebra 10.1093/imrn/rnu067 Global theory of complex singularities; cohomological properties, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects) Symplectic resolutions for conical symplectic 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 Chern classes; Holomorphic foliations with singularities; residues; rationality conjecture; vector bundles; sheaves Local complex singularities, Complex singularities, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Characteristic classes and numbers in differential topology, Foliations in differential topology; geometric theory Residues of singular holomorphic foliations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algorithm for computing the divisor class group Lang, J.; Blass, P.; Joyce, D.: The divisor classes of the \(zp = G(x, y)\), a programmable problem. J. algebra 100 (1986) Software, source code, etc. for problems pertaining to algebraic geometry, Special surfaces, Divisors, linear systems, invertible sheaves The divisor classes of the surface \(z^ p=G(x,y)\), a programmable problem | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system classification of polarized threefolds; very ample line bundles D'Ambros, P., Bipolarized threefolds with hyperelliptic curve sections, Ann. Univ. Ferrara. Sez. VII, XLV, 75-86, (1999) \(3\)-folds, Divisors, linear systems, invertible sheaves Bipolarized threefolds with hyperelliptic curve 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 geometry of divisor; three-dimensional Brieskorn singularity; torus resolution; K3-surface; rational surface M. OKA, On the resolution of hypersurfaces singularities, Adv. Studies in Pure Math. 8 (1986), 405-^36 Zentralblatt MATH: Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Modifications; resolution of singularities (complex-analytic aspects) On the resolution of the three dimensional Brieskorn 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 dimension of Picard group; moduli space of K-3 surfaces; numerically effective divisor O'Grady, Kieran G, On the Picard group of the moduli space for \(K\)-\(3\) surfaces, Duke Math. J., 53, 117-124, (1986) Picard groups, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces On the Picard group of the moduli space for K-3 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 Mumford, D.: Varieties defined by quadratic equations, 1970 Questions on Algebraic Varieties (C.I.M.E., III Ciclo, Varenna, 29-100 Edizioni Cremonese, Rome (1969) Divisors, linear systems, invertible sheaves, \(3\)-folds A lower bound on Seshadri constants of hyperplane bundles on threefolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system monodromy conjecture; monodromy eigenvalues; topological zeta function Cauwbergs, Thomas; Veys, Willem, Monodromy eigenvalues and poles of zeta functions, Bull. Lond. Math. Soc., 49, 2, 342-350, (2017) Singularities in algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Local complex singularities Monodromy eigenvalues and poles of zeta functions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hyperelliptic surface; higher order embedding; \(k\)-very ampleness Farnik, Ł., A note on k-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces, Abh. Math. Semin. Univ. Hambg., 86, 1, 69-77, (2016) Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry A note on \(k\)-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system sheaf of relative differentials; tangent bundle; birational class; singular locus; blowing up; smooth schemes; jacobian ideals of embedded arithmetic schemes Villamayor, O.: On smoothness and blowing ups of arithmetical schemes. Math. Z. 225, 317-332 (1997) Schemes and morphisms, Global theory and resolution of singularities (algebro-geometric aspects), Arithmetic problems in algebraic geometry; Diophantine geometry On smoothness and blowing ups of arithmetic schemes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 of conics; dimension and base points of a linear system Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves On a property 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 (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Chern classes of logarithmic vector fields for locally quasi-homogeneous free 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 vanishing polyhedron; line singularity; degeneration; Milnor fiber; polar curve Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Local complex singularities, Equisingularity (topological and analytic), Global theory of complex singularities; cohomological properties, Complex surface and hypersurface singularities Lê's polyhedron for line 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 two-dimensional local ring; cyclic extension; jet spaces; branch divisor Igor Zhukov, Ramification of surfaces: Artin-Schreier extensions, Algebraic number theory and algebraic geometry, Contemp. Math., vol. 300, Amer. Math. Soc., Providence, RI, 2002, pp. 211 -- 220. Ramification problems in algebraic geometry, Ramification and extension theory, Regular local rings Ramification of surfaces: Artin-Schreier extensions. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 varieties; Calabi-Yau varieties; Hodge numbers; Batyrev-Borisov construction; complete intersections Fano varieties, Complete intersections, Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves On complete intersections with trivial canonical 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 Cox rings; rational surfaces; effective monoids De La Rosa Navarro, B.L., Frías Medina, J.B., Lahyane, M., Moreno Mejía, I., Osuna Castro, O.: A geometric criterion for the finite generation of the Cox ring of projective surfaces. Rev. Mat. Iberoam. 31(4), 1131-1140 (2015) Divisors, linear systems, invertible sheaves, Picard groups, Riemann-Roch theorems A geometric criterion for the finite generation of the Cox rings of projective 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 Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves On accumulation points of pseudo-effective thresholds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 ideals; regular local ring; sandwich singularity; cluster Integral closure of commutative rings and ideals, Regular local rings, Plane and space curves Some results relating to adjacent 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 polarized normal surface; canonical divisor; extremal rational curves Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, Special surfaces On 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 local zeta-functions; singularities; Poincaré series; poles Deshommes, B.: Critères de rationalité et application à la série génératrice d'un système d'équations à coefficients dans un corps local. J. number theory 22, 75-114 (1986) Zeta functions and \(L\)-functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global theory and resolution of singularities (algebro-geometric aspects) Rationality criteria and application to the generating series of a system of equations with coefficients in a local 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 linear series; effective cone; Fano threefolds; Mori dream spaces; fat lines Domitrescu, O.; Postinghel, E.; Urbinati, S., Cones of effective divisors on the blown-up \(\mathbb{P}^3\) in general lines, Rend. circ. mat. Palermo, II, 66, 8, 205-216, (2017) Divisors, linear systems, invertible sheaves, \(3\)-folds, Fano varieties Cones of effective divisors on the blown-up \({\mathbb {P}}^3\) in general lines | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system fake projective planes; pluricanonical mappings; syzygies; projective normality Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Surfaces of general type On the syzygies of ample line bundles on fake projective planes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lipschitz equisingularity; Zariski equisingularity; Lipschitz equivalence of functions Critical points of functions and mappings on manifolds, Singularities in algebraic geometry, Equisingularity (topological and analytic) Lipschitz equisingularity problems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system compact Kähler manifolds; uniformisation theorem; Riemannian surface; nef tangent bundle Peternell, T.: Manifolds of Semi-positive Curvature. LNM 1646, 98--142 (1996) Divisors, linear systems, invertible sheaves, Kähler manifolds, Global differential geometry of Hermitian and Kählerian manifolds Manifolds of semi-positive curvature | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equisingular; good point Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry A criterion for a point of a hypersurface to be good | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Schubert varieties; cohomology of line bundles; semisimple algebraic groups; Frobenius splitting Lauritzen, N.; Thomsen, J. F., Line bundles on Bott-Samelson varieties, J. Algebraic Geom., 13, 461-473, (2004) Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Classical groups (algebro-geometric aspects), Vanishing theorems in algebraic geometry Line bundles on Bott-Samelson 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 factorization of canonical morphism between two normal Gorenstein surfaces; blowing up F. Sakai, Normal Gorenstein surfaces and blowing ups, Saitama Math. J.1 (1983), 29--35. Rational and birational maps, Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces Normal Gorenstein surfaces and blowing ups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system very ampleness; polarized abelian surfaces Y. Fukuma , On d-very ample line bundles on abelian surfaces , preprint. Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli On \(k\)-very ampleness of tensor products of ample line bundles 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 multiplier ideal; syzygy Seunghun Lee, Filtrations and local syzygies of multiplier ideals, J. Algebra 315 (2007), no. 2, 629 -- 639. Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves Filtrations and local syzygies of 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 real algebraic curves; special divisors; Clifford inequality Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory), Topology of real algebraic varieties, Real algebraic and real-analytic geometry Clifford's theorem for real algebraic 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 projective plane bundles; principal divisors; normal crossing divisor; Picard group DOI: 10.1006/jabr.1997.7120 Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry On standard projective plane 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 inflection points on a general surface; Thom-Bordman singularities Kulikov, V.S. 1983. The calculation of the singularities of the embedding of a generic algebraic surface in the projective space P 3. Functional Analysis and Applications, 17:176-186. Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Calculation of singularities of an imbedding of a generic algebraic surface in projective space \(P^ 3\) | 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 logarithmic tangent bundle; nef anticanonical bundle; canonical bundle formula; descent of vector bundles Minimal model program (Mori theory, extremal rays), Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies Numerical characterization of some toric fiber 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 Cayley-Bacharach property; primitive linear series; projective curve Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves Remarks on primitive series on plane 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 Fulton, W. , Harris, J. , Lazarsfeld, R. : '' Excess linear series on an algebraic curve '', Proc. AMS 92 (1984) 320-322. Divisors, linear systems, invertible sheaves, Curves in algebraic geometry Excess linear series on an algebraic 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 characteristic \(p\); Bogomolov inequality; Chern numbers; vanishing theorem; adjoint linear systems; surfaces of general type Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991) Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Unstable vector bundles and linear systems on surfaces in 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 minimal models of threefolds; Shokurov's log geography; topological bounds; effective finite generation; adjoint rings Families, moduli, classification: algebraic theory, Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves On the number of minimal models of a log smooth threefold | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 divisor; 4-dimensional projective manifold of nonnegative Kodaira; dimension; local complete intersection; 4-dimensional projective manifold of nonnegative Kodaira dimension M.L. Fania , Extension of modifications of ample divisors on fourfolds II , J. Math. Soc. Japan , 38 ( 1986 ), pp. 285 - 294 . Article | MR 833203 | Zbl 0597.14035 \(4\)-folds, Divisors, linear systems, invertible sheaves, Birational geometry Extension of modifications of ample divisors on fourfolds: 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 torus action; polytopes; Fano varieties; Kähler-Einstein metrics; Cox rings Süß, H., Fano threefolds with 2-torus action--a picture book, Doc. Math., 19, 905-914, (2014) Group actions on varieties or schemes (quotients), Fano varieties, Kähler-Einstein manifolds, Divisors, linear systems, invertible sheaves Fano threefolds with 2-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 bilocalization; categorical resolution; Königs resolution; derived categories; minors; non-commutative schemes; quasi-hereditary schemes; Auslander-Reiten quiver; endomorphism construction; tilting object; Auslander sheaf Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr: Singular curves and quasi-hereditary algebras. (2015) Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Minors and categorical 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 Artal Bartolo, E.; Luengo, I.; Melle-Hernández, A., Milnor number at infinity, topology and Newton boundary of a polynomial function, Math. Z., 233, 4, 679-696, (2000) Equisingularity (topological and analytic), Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Topological properties in algebraic geometry, Geometric invariant theory Milnor number at infinity, topology and Newton boundary of a polynomial 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 Singularities of curves, local rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Computational aspects of algebraic curves A fast algorithm for curve 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 irreducible symplectic varieties; hyperkähler manifolds; base locus; Fujita's conjecture Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Holomorphic symplectic varieties, hyper-Kähler varieties On the non-divisorial base locus of big and nef line bundles on \(\mathrm{K3}^{[2]}\)-type 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 singular foliations; invariant curves; Newton polygons; toric surfaces Singularities of holomorphic vector fields and foliations, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects) Newton non-degenerate foliations on projective toric 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 symbolic powers; monomial ideals; points; lines; resurgence Guardo, E; Harbourne, B; Tuyl, A, Asymptotic resurgences for ideals of positive dimensional subschemes of projective space, Adv. Math., 246, 114-127, (2013) Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves Asymptotic resurgences for ideals of positive dimensional subschemes of projective space | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Steenrod operations; Riemann-Roch theorem; Chow groups O. Haution, Reduced Steenrod operations and resolution of singularities, J. K-Theory 9 (2012), no. 2, 269-290. Riemann-Roch theorems, Global theory and resolution of singularities (algebro-geometric aspects) Reduced Steenrod operations and 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 jet bundle; complex projective manifold; Abelian variety di Rocco, S., Sommese, A.J.: Line bundles for which a projectivized jet bundle is a product. Proc. Am. Math. Soc. 129(6), 1659--1663 (2000) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Holomorphic bundles and generalizations Line bundles for which a projectivized jet bundle is a product | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system arc; infinitely near point; birational join Fernandez-Sanchez, J.: Equivalence of the Nash conjecture for primitive and sandwiched singularities. Proc. amer. Math. soc. 133, 677-679 (2005) Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Equivalence of the Nash conjecture for primitive and 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 regular local ring; Azumaya algebra; Grothendieck conjecture for Hermitian spaces Homogeneous spaces and generalizations, Regular local rings On Grothendieck's conjecture about principal homogeneous spaces for some classical algebraic groups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Adjunction problems, \(n\)-folds (\(n>4\)), Fano varieties, Divisors, linear systems, invertible sheaves A note on \(\mathbb P^1\)-bundles as hyperplane sections | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fano varieties; complements; linear systems; minimal model program Fano varieties, Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Rational and birational maps Anti-pluricanonical systems on 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 Iitaka dimension; numerical dimension Divisors, linear systems, invertible sheaves Notions of numerical Iitaka dimension do not coincide | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Picard group; adjunction process; surfaces of small sectional genus; Castelnuovo's bound for the genus of a curve Special surfaces, Divisors, linear systems, invertible sheaves, Picard groups, Projective techniques in algebraic geometry On projective surfaces arising from an adjunction process | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Singularities of plane curves; equisingularity; maximal contact; Newton polygons; blowing-up; finite characteristic M. Lejeune , Sur l'équivalence des singularités des courbes algébroïdes planes . Coefficients de Newton. Thèse. Singularities in algebraic geometry, Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Finite ground fields in algebraic geometry, Analytic subsets of affine space On the equivalence of singularities of plane algebroid curves. Newton coefficients | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 projective geometry; ample divisor; automorphism; GK-dimension Dennis S. Keeler, Criteria for \?-ampleness, J. Amer. Math. Soc. 13 (2000), no. 3, 517 -- 532. Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Automorphisms of surfaces and higher-dimensional varieties, Rings arising from noncommutative algebraic geometry Criteria for \(\sigma\)-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 symplectic manifold; Poisson bracket; singularities; resolution of singularities Kaledin, D., \textit{symplectic singularities from the Poisson point of view}, J. reine angew. Math., 600, 135-156, (2006) Poisson manifolds; Poisson groupoids and algebroids, Global theory and resolution of singularities (algebro-geometric aspects) Symplectic singularities from the Poisson point of view | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; fixed components; base points; irregularity; numerically effective divisors; rational surface; anticanonical divisor Brian Harbourne, ``Anticanonical rational surfaces'', Trans. Am. Math. Soc.349 (1997) no. 3, p. 191-1208 Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Rational and unirational varieties, Projective techniques in algebraic geometry Anticanonical 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 Gorenstein trigonal curve; linear systems; scroll; canonical model Ballico E.,Trigonal Gorenstein curves and special linear systems, Israel J. Math.,119 (2000), 143--155. Special divisors on curves (gonality, Brill-Noether theory), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves Trigonal Gorenstein curves and special linear systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; representation stability; Segre varieties; Veronese varieties; chessboard complexes; matching complexes; packing complexes; asymptotic vanishing C. Raicu, Representation stability for syzygies of line bundles on Segre-Veronese varieties, arXiv:1209.1183 (2012). Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Combinatorial aspects of representation theory, Simplicial sets and complexes in algebraic topology, Divisors, linear systems, invertible sheaves Representation stability for syzygies of line bundles on Segre-Veronese 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 singularity; Lipman semigroup; Hilbert basis of a semigroup; toric variety; intersection matrix. Global theory and resolution of singularities (algebro-geometric aspects), Compact complex \(3\)-folds, Singularities in algebraic geometry, Local complex singularities, Toric varieties, Newton polyhedra, Okounkov bodies, Real algebraic and real-analytic geometry Hilbert basis of the Lipman semigroup | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system line arrangements; conic arrangements; nearly freeness; almost freeness; 3-syzygy curves; unexpected curves Configurations and arrangements of linear subspaces, Divisors, linear systems, invertible sheaves, Relations with arrangements of hyperplanes On 3-syzygy and unexpected plane 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 decomposition of birational morphism; smooth curves on surfaces; with rational double points; blow-up of a smooth point; Gorenstein; threefold singularities D. Morrison, ''The biratioanl geometry of surfaces with ratiional double points,''Math. Ann.,271, 415--438 (1985). Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps, Singularities of surfaces or higher-dimensional varieties, \(3\)-folds, Singularities in algebraic geometry The birational geometry of surfaces with rational 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 effective divisor; nef divisor; Zariski decomposition of a \(\mathbb{Q}\)- divisor; line bundle Fujita, T., Approximating Zariski decomposition of big line bundles, \textit{Kodai Math. J.}17 ( 1994), no. 1, 1- 3. Divisors, linear systems, invertible sheaves Approximating Zariski decomposition of big 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 characteristic classes; characteristic number; genus; singular space; motivic; additivity; Riemann-Roch; Grothendieck group; cobordism group; Hodge structure; mixed Hodge module Brasselet, J-P; Schürmann, J.; Yokura, S., Hirzebruch classes and motivic Chern classes for singular spaces, J. Topol. Anal., 2, 1-55, (2010) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Riemann-Roch theorems, Global theory and resolution of singularities (algebro-geometric aspects), Global theory of complex singularities; cohomological properties, Mixed Hodge theory of singular varieties (complex-analytic aspects) Hirzebruch classes and motivic Chern classes for singular 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 quadric fibration; inflectional locus; jets; principal parts bundle Fibrations, degenerations in algebraic geometry, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Questions of classical algebraic geometry Corrigendum to: ``Inflectional loci of quadric fibrations'' | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Ragnar-Olaf Buchweitz and David Mond, Linear free divisors and quiver representations, Singularities and computer algebra, London Math. Soc. Lecture Note Ser., vol. 324, Cambridge Univ. Press, Cambridge, 2006, pp. 41 -- 77. Formal methods and deformations in algebraic geometry, Representations of quivers and partially ordered sets, Deformation of singularities, Divisors, linear systems, invertible sheaves, Actions of groups on commutative rings; invariant theory Linear free divisors and quiver representations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; marked ideals; blowing-up; permissible centers; resolution; equivalence O. Fujino, \textit{Semipositivity theorems for moduli problems}, preprint, arXiv:1210.5784v2 [math.AG] (2012). Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Local theory in algebraic geometry, Birational geometry On the use of naturality in algorithmic resolution | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system M. Chen, Weak boundedness theorems for canonically fibered Gorenstein minimal \(3\)-folds, Proc. Amer. Math. Soc. 133 (2005), no. 5, 1291--1298. Divisors, linear systems, invertible sheaves, \(3\)-folds Weak boundedness theorems for canonically fibered Gorenstein minimal 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 projective rational surface of type (n, m) Failla, G., Lahyane, M., Molica Bisci, G.: On the finite generation of the monoid of effective divisor classes on rational surfaces of type (\textit{n}, \textit{m}). Atti Accademia Peloritana Pericolanti Cl. Sci. Fis., Mat. Natur. LXXXIV (2006). https://doi.org/10.1478/C1A0601001 Rational and ruled surfaces, Divisors, linear systems, invertible sheaves On the finite generation of the monoid of effective divisor classes on rational surfaces of type \((n,m)\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lahyane, Mustapha; Harbourne, Brian, Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid, Pacific J. Math., 218, 1, 101-114, (2005) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Jacobian ideal; Milnor algebra; free divisor; nearly free divisor; Saito's criterion A. Dimca G. Sticlaru Free and nearly free surfaces in P 3 Hypersurfaces and algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Computational homological algebra, Divisors, linear systems, invertible sheaves, Relations with arrangements of hyperplanes Free and nearly free surfaces in \(\mathbb{P}^3\) | 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 Henselization; key polynomial; valuation; valuative tree Valuations and their generalizations for commutative rings, General valuation theory for fields, Complete rings, completion, Global theory and resolution of singularities (algebro-geometric aspects) Rigidity of valuative trees under Henselization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system limit linear series; higher Picard group; higher Jacobian; complex curve; isomorphism classes of line bundles of degree \(d\); Albanese variety; moduli space of pointed curves Ciro Ciliberto, Joe Harris, and Montserrat Teixidor i Bigas, On the endomorphisms of \?\?\?(\?\textonesuperior _{\?}(\?)) when \?=1 and \? has general moduli, Classification of irregular varieties (Trento, 1990) Lecture Notes in Math., vol. 1515, Springer, Berlin, 1992, pp. 41 -- 67. Jacobians, Prym varieties, Families, moduli of curves (algebraic), Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves On the endomorphisms of \(\text{Jac}(W_ d^ 1(C))\) when \(\rho=1\) and \(C\) has general moduli | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; symplectic manifold; derived category; Poisson structure; quantized algebra; Frobenius endomorphism D. Kaledin, ''Derived equivalences by quantization,'' Geom. Funct. Anal., vol. 17, iss. 6, pp. 1968-2004, 2008. Global theory and resolution of singularities (algebro-geometric aspects), Poisson manifolds; Poisson groupoids and algebroids, Deformation quantization, star products, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure Derived equivalences by quantization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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-ups S. Cacciola, M. Donten-Bury, O. Dumitrescu, A. Lo Giudice, and J. Park, Cones of divisors of blow-ups of projective spaces, Matematiche (Catania) 66 (2011), no. 2, 153 -- 187. Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies Cones of divisors of blow-ups 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 holomorphic vector bundles; linear systems on curves; instantons; Yang-Mills-type equations; Grassmannian Spindler, H., Trautmann, G.: Rational normal curves and the geometry of special instanton bundles on \$\$\{\(\backslash\)mathbb\{P\}\^\{2n+1\}\}\$\$ . Math. Gottingensis 18 (1987) Constructive quantum field theory, Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Grassmannians, Schubert varieties, flag manifolds Rational normal curves and the geometry of special instanton bundles on \(\mathbb P^{2n+1}\) | 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 Villamayor, O.: Differential operators on smooth schemes and embbeded singularities. Rev. Un. Mat. Argentina 46 (2005), no. 2, 1-18. Global theory and resolution of singularities (algebro-geometric aspects) Differential operators on smooth schemes and embedded 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 projective submanifold; reducible hyperplane section Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) Varieties with a reducible hyperplane section whose two components are 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 polarized manifold; adjoint bundle; sectional geometric genus; sectional genus Divisors, linear systems, invertible sheaves, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\)) Classification of multi-polarized \(n\)-folds of sectional genus 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 compact complex manifold; unitary flat normal bundle Transcendental methods of algebraic geometry (complex-analytic aspects), Divisors, linear systems, invertible sheaves Higher codimensional Ueda theory for a compact submanifold with unitary flat normal 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 reductive group; flag variety; line bundle; vanishing theorem Andersen, Henning Haahr: Cohomology of line bundles, Algebraic groups and homogeneous spaces, 13-36 (2007) Grassmannians, Schubert varieties, flag manifolds, Vanishing theorems in algebraic geometry, Group actions on varieties or schemes (quotients), Divisors, linear systems, invertible sheaves Cohomology of 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 weakly normal algebraic varieties; linear systems; birational morphism; Bertini's theorem Rational and birational maps, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Singularities in algebraic geometry Weakly normal algebraic varieties and Bertini theorems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasi-polarized manifold; nef-big divisor; sectional genus; irregularity DOI: 10.1002/mana.3211800105 Divisors, linear systems, invertible sheaves, Topological properties in algebraic geometry The sectional genus of quasi-polarized manifolds with non-negative Kodaira dimension | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system deformation; exceptional divisor; \(D_ n\); \(E_ n\); 3-dimensional singularities; vanishing theorems; local moduli of the exceptional loci; canonical resolution; \(A_ n\) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Some properties of the canonical resolutions of the 3-dimensional singularities \(A_ n\), \(D_ n\), \(E_ n\) over a field of characteristic \(\neq 2\) | 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 Biswas, I.; Seshadri, H., On the Kähler structures over quot schemes II, Ill. J. math., 58, 689-695, (2014) Divisors, linear systems, invertible sheaves, Computational aspects of algebraic curves, Positive curvature complex manifolds, Vector bundles on curves and their moduli, Parametrization (Chow and Hilbert schemes) On the Kähler structures over Quot schemes. 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 DOI: 10.4310/PAMQ.2011.v7.n4.a16 Divisors, linear systems, invertible sheaves, Fibrations, degenerations in algebraic geometry, Variation of Hodge structures (algebro-geometric aspects), de Rham cohomology and algebraic geometry Semipositivity theorem for reducible algebraic fiber 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 \(T\)-varieties of complexity one; basepoint free divisors; Fujita's Freeness Conjecture Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves Fujita's freeness conjecture for \(T\)-varieties of complexity one | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 polygon; Newton map; Newton algorithm; Newton tree; Newton process; Rees valuation; multiplicity; integral closure; dicritical. Cassou-Noguès, P., Veys, W.: Newton trees for ideals in two variables and applications. Proc. Lond. Math. Soc. (3) 108(4), 869-910 (2014) Structure, classification theorems for modules and ideals in commutative rings, Singularities in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects), Integral closure of commutative rings and ideals, Global theory and resolution of singularities (algebro-geometric aspects), Formal power series rings Newton trees for ideals in two variables 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 hyperelliptic locus of line bundle; double cover; polarized surfaces of \(\Delta\)-genus Aldo Biancofiore, Maria Lucia Fania, and Antonio Lanteri, Polarized surfaces with hyperelliptic sections, Pacific J. Math. 143 (1990), no. 1, 9 -- 24. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Elliptic curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Polarized surfaces with hyperelliptic 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 \(K3\) surface; Severi variety; nodal curve; Hilbert scheme of nodal curves Families, moduli of curves (algebraic), Surfaces and higher-dimensional varieties, Divisors, linear systems, invertible sheaves On the irreducibility of the Severi variety of nodal curves in a smooth 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 complex multiplication; elliptic curve; integral; Seshadri constant; abelian surface Divisors, linear systems, invertible sheaves, Elliptic curves, Complex multiplication and abelian varieties On the integrality of Seshadri constants of abelian surfaces | 0 |
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