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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 equisingularity; simultaneous resolution of singularities; hypersurface Joseph Lipman, Equisingularity and simultaneous resolution of singularities, Resolution of Singularities: a research textbook in tribute to Oscar Zariski, Progress in Mathematics 181, Birkhäuser, 2000, p. 485-505 Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Equisingularity and simultaneous 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 A. Kasman, K. Pedings, A. Reiszl and T. Shiota, Universality of rank 6 Plücker relations and Grassmann cone preserving maps, Proc. Amer. Math. Soc. 136 (2008), 77-87. Grassmannians, Schubert varieties, flag manifolds, Exterior algebra, Grassmann algebras Universality of rank 6 Plücker relations and Grassmann cone preserving maps | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system sub-analytic set; Lipschitz-Killing curvatures; polar invariant; Verdier strata; Whitney strata Georges Comte & Michel Merle, ``Équisingularité réelle. II. Invariants locaux et conditions de régularité'', Ann. Sci. Éc. Norm. Supér.41 (2008) no. 2, p. 221-269 Equisingularity (topological and analytic), Semi-analytic sets, subanalytic sets, and generalizations, Real-analytic and semi-analytic sets, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Real equisingularity. II: Local invariants and regularity conditions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Roé, J.; Zappalà, G.; Baggio, S.: Linear systems of surfaces with double points: terracini revisited, Le matematiche 56, 269-280 (2001) Divisors, linear systems, invertible sheaves, Plane and space curves, Singularities of surfaces or higher-dimensional varieties Linear systems of surfaces with double points: Terracini revisited | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 basis free invariant; rational vector space; almost zeros; almost decoupling zeros Karcanias, N., and Giannacopoulos, C., Grassmann Invariants, Almost Zeros, and the Determinantal Zero, Pole Assignment Problem of Linear Systems, International Journal of Control, Vol. 40, pp. 673--698, 1984. Algebraic methods, Grassmannians, Schubert varieties, flag manifolds, Linear systems in control theory, Pole and zero placement problems, Rational and unirational varieties, Vector and tensor algebra, theory of invariants, Multivariable systems, multidimensional control systems, Model systems in control theory, Exterior algebra, Grassmann algebras Grassmann invariants, almost zeros and the determinantal zero, pole assignment problems of linear multivariable 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 Bertini theorem; transversal intersection; multiplicity; Łojasiewicz exponent Families, moduli, classification: algebraic theory, Computational aspects of higher-dimensional varieties, Germs of analytic sets, local parametrization Effective Bertini theorem and formulas for multiplicity and the local Łojasiewicz exponent | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system upper-triangular matrices; Brauer loop model; orbit; link diagram B. Rothbach, Equidimensionality of the Brauer loop scheme. Electron. J. Combin. 17 (2010), no. 1, Research Paper 75, 11 pp.MR 2651728 Zbl 1196.14045 Special varieties Equidimensionality of the Brauer loop scheme | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system unicuspidal curve; rational curve; planar curve; linear system Daigle, D., Melle-Hernández, A.: Linear systems associated to unicuspidal rational plane curves. Osaka J. Math. 51 (2), 481--511 (2014). http://projecteuclid.org/euclid.ojm/1396966259 Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Linear systems associated to unicuspidal rational 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 plane curves; multiplicity; interpolation problem; linear system C. Ciliberto and R. Miranda, Linear systems of plane curves with base points of egual multiplicity , Trans. Amer. Math. Soc. 352 (2000), 4037-4050. JSTOR: Plane and space curves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves Linear systems of plane curves with base points of equal multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system isolated curve singularities; zero-dimensional schemes; unstable rank-two vector bundles; equisingular families of curves; prescribed singularities Keilen T., Trans. Amer. Math. Soc. 355 pp 3485-- (2003) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Divisors, linear systems, invertible sheaves, Singularities of curves, local rings, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces Irreducibility of equisingular families 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 Newton polyhedron; equisingularity; deformation of hypersurface germs Equisingularity (topological and analytic), Complex surface and hypersurface singularities, Singularities in algebraic geometry, Differentiable maps on manifolds, Theory of singularities and catastrophe theory The polyhedron of equisingularity of germs of hypersurfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system blowing-up; blow-analytic function; blow-analytic equivalence Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Local complex singularities, Modifications; resolution of singularities (complex-analytic aspects), Singularities in algebraic geometry An elementary exposé on equisingularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system prescribed singularities Keilen T., Trans. Amer. Math. Soc. 357 pp 2467-- (2004) Families, moduli of curves (algebraic), Singularities of curves, local rings, Singularities in algebraic geometry Smoothness of equisingular families 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 isotropic Grassmannian; Schubert calculus; Littlewood-Richardson rule; \(T\)-equivariant cohomology; Graham-positive; equivariant Pieri rule Li, C.; Ravikumar, V.: Equivariant Pieri rules for isotropic grassmannians Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Equivariant homology and cohomology in algebraic topology Equivariant Pieri rules for isotropic Grassmannians | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system singular varieties; double point formula Singularities in algebraic geometry, Birational geometry, Singularities of surfaces or higher-dimensional varieties, Surfaces of general type, Classical problems, Schubert calculus, Embedding of analytic spaces, Embedding theorems for complex manifolds, Smooth approximations in differential topology, Immersions in differential topology The double point formula with isolated singularities and canonical embeddings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lê, D. T.: Un application d'un théoréme d'a'campo a l'equisingularité. Indag. math. 35, 403-409 (1973) Singularities in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Complex singularities Une application d'un théorème d'A'Campo à l'équisingularité | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Bertini theorem; irreducibilities of linear families Divisors, linear systems, invertible sheaves About some algebraic aspects of linear systems and of the theorem of Bertini | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linearity criterion for algebraic systems of divisors; Chow varieties; index 1; least 2 Divisors, linear systems, invertible sheaves On a linearity criterion for algebraic systems of divisors on a projective 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 cohomology ring; Pieri formula; Chow ring Pragacz, P.; Ratajski, J.: Pieri type formula for isotropic grassmannians; the operator approach. Manuscripta math. 79, 127-151 (1993) Classical groups (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds Pieri type formula for isotropic Grassmannians; the operator 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 topological triviality; isolated singularities; deformations of singularities; weighted homogeneous Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects) Equisingularity for flat deformations and topological rigidity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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: 10.1002/1522-2616(200207)242:1<38::AID-MANA38>3.0.CO;2-5 Vector bundles on curves and their moduli, Grassmannians, Schubert varieties, flag manifolds Curves in Grassmannians and Plücker embeddings: The injectivity range | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjoint linear system on a smooth complex threefold Divisors, linear systems, invertible sheaves, \(3\)-folds A linear system on a 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 positroid; totally nonnegative Grassmannian; Le-diagram Grassmannians, Schubert varieties, flag manifolds Combinatorial formulas for \(\lrcorner\)-coordinates in a totally nonnegative Grassmannian, extended abstract | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; Whitney condition; hypersurface singularity Terence Gaffney, Equisingularity of Plane Sections, \(t_1\) Condition, and the Integral Closure of Modules, Real and complex singularities, Pitman Research Notes in Mathematics Series 333, Longman, 1995, p. 95-111 Equisingularity (topological and analytic), Singularities in algebraic geometry Equisingularity of plane sections, \(t_ 1\) condition and the integral closure of modules | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 strata; families of curves [Sh4] Shustin, E.: Geometry of equisingular families of plane algebraic curves. J. Algebr. Geom.5, 209--234 (1996). Families, moduli of curves (algebraic), Singularities of curves, local rings Geometry of equisingular families of plane 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 equisingular families of plane curves; curves on surfaces; real algebraic geometry; plane curve singularities Gert-Martin Greuel and Eugenii Shustin, Geometry of equisingular families of curves, Singularity theory (Liverpool, 1996) London Math. Soc. Lecture Note Ser., vol. 263, Cambridge Univ. Press, Cambridge, 1999, pp. xvi, 79 -- 108. Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic), Plane and space curves, Topology of real algebraic varieties Geometry of equisingular families 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 expected dimension; blowing-up; divisors Antonio Laface and Luca Ugaglia, A counterexample to a conjecture on linear systems on \Bbb P³, Adv. Geom. 4 (2004), no. 3, 365 -- 371. Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry, Computational aspects of higher-dimensional varieties, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series A counterexample to a conjecture on linear systems on \(\mathbb{P}^3\) | 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 Gauss-Kronecker curvature; total curvatures; generalized critical values; definable families Semialgebraic sets and related spaces, Model theory of ordered structures; o-minimality, Critical points and critical submanifolds in differential topology Gauss-Kronecker curvature and equisingularity at infinity of definable families | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polynomials; plane curves; equisingularity; pseudo-irreduibility; approximate roots Effectivity, complexity and computational aspects of algebraic geometry, Computational methods for problems pertaining to field theory, Polynomials, factorization in commutative rings, Symbolic computation and algebraic computation Computing the equisingularity type of a pseudo-irreducible polynomial | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; polar methods; non isolated singularities; singularities not complete intersection Terence Gaffney, Polar methods, invariants of pairs of modules and equisingularity, Real and complex singularities, Contemporary Mathematics 354, American Mathematical Society, 2002, p. 113-136 Equisingularity (topological and analytic), Singularities in algebraic geometry, Multiplicity theory and related topics Polar methods, invariants of pairs of modules and equisingularity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quiver Grassmannians; Plücker relations Grassmannians, Schubert varieties, flag manifolds, Representations of quivers and partially ordered sets Plücker relations for quiver Grassmannians | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system numerical invariants of quasihomogeneous singularities; nonisolated hypersurface singularities; zero-dimensional complete intersections Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Complete intersections A formula of Hirzebruch and its generalizations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system of plane curves Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves Regularity and irreducibility of linear systems of plane curves through points of \(\mathbb{P}^ 2\) in general position with prescribed multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system family of curves; equisingularity Singularities of curves, local rings, Equisingularity (topological and analytic) Whitney equisingularity in families of generically reduced 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 curves; degenerations; linear systems; Weierstrass points; ramification point; Gorenstein curve Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry Generalized linear systems on curves and their Weierstrass 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 Plücker relations; minuscule flag manifolds; minuscule posets; minuscule representations Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Order filter model for minuscule Plücker relations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system canonical singularity; record; anti-plurigenera; minimal model Iano-Fletcher A.R. (1989). Inverting Reid's exact plurigenera formula. Math. Ann. 284(4): 617--629 Minimal model program (Mori theory, extremal rays), \(3\)-folds Inverting Reid's exact plurigenera 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 Morse singularity; infinitesimals; Newton polygon T.-C. Kuo and L. Paunescu, Equisingularity in \(\mathbf{R}^{2}\) as Morse stability in infinitesimal calculus, Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 6, 115-120. Real-analytic and semi-analytic sets, Semi-analytic sets, subanalytic sets, and generalizations Equisingularity in \(\mathbb R^2\) as Morse stability in infinitesimal calculus | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system cohomology ring; Grassmannians; Schubert classes; isotropic subspaces; Pieri-type formulas Pragacz, P.; Ratajski, J.: A Pieri-type formula for even orthogonal grassmannians. Fund. math. 178, 49-96 (2003) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Grassmannians, Schubert varieties, flag manifolds, Étale and other Grothendieck topologies and (co)homologies, Classical problems, Schubert calculus A Pieri-type formula for even orthogonal Grassmannians | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equivariant Oka principle; complex Lie groups Kutzschebauch, F.; Lárusson, F.; Schwarz, G. W., An equivariant parametric Oka principle for bundles of homogeneous spaces, Math. Ann., 370, 1-2, 819-839, (2018) Complex Lie groups, group actions on complex spaces, Geometric invariant theory, Group actions on varieties or schemes (quotients), Stein spaces, Stein manifolds An equivariant parametric Oka principle for bundles of homogeneous 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 principalization; monomial scheme; blowups Harris, C.: Monomial principalization in the singular setting. J. commut. Algebra 7, 353-362 (2015) Singularities in algebraic geometry Monomial principalization in the singular setting | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; projective line; linear equations; algebraic coherent sheaves; equivalent objects; Martin-Hermann theorem; Brunovsky theorem Lomadze, V.: Linear systems and coherent sheaves. Bull. acad. Sci. georgian SSR 126, N 1 (1987) Categories and theories, Algebraic methods, Elementary questions in algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) Linear systems and coherent 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 Borel localization formula; push-forward; Gysin map; equivariant Pedroza, A.; Tu, LW, On the localization formula in equivariant cohomology, Topology Appl., 154, 1493-1501, (2007) Homology with local coefficients, equivariant cohomology, Compact Lie groups of differentiable transformations, Grassmannians, Schubert varieties, flag manifolds On the localization formula in equivariant 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 ample line bundles on abelian varieties; theta-groups Kempf, G, Linear systems on abelian varieties, Am. J. Math., 111, 65-94, (1989) Analytic theory of abelian varieties; abelian integrals and differentials, Theta functions and abelian varieties, Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties Linear systems on 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 Kunte, M.: Quasi-homogeneous linear systems on P2 with base points of multiplicity 6, Rend. sem. Mat. univ. Politec. Torino 63, 43-62 (2005) Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties Quasi-homogeneous linear system on \(\mathbb P^2\) with base points of multiplicity 6 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system rigid local systems; multiplicative eigenvalue problem; strange duality; quantum Schubert calculus; KZ equations Structure of families (Picard-Lefschetz, monodromy, etc.), Algebraic moduli problems, moduli of vector bundles, Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation), Vector bundles on curves and their moduli Rigid local systems and the multiplicative eigenvalue 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 Birch and Swinnerton-Dyer conjecture; global function fields; Weil-étale cohomology \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Étale and other Grothendieck topologies and (co)homologies, Motivic cohomology; motivic homotopy theory A Weil-étale version of the Birch and Swinnerton-Dyer formula over function fields | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equianalytic families; singularities of plane curves; equisingularity G.-M. Greuel, C. Lossen and E. Shustin,New asymptotics in the geometry of equisingular families of curves, International Mathematics Research Notices13 (1997), 595--611. Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic) New asymptotics in the geometry of equisingular families 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 equivariant; tame Integral representations related to algebraic numbers; Galois module structure of rings of integers, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic varieties and schemes; Arakelov theory; heights \(\varepsilon\)-constants and equivariant Arakelov-Euler characteristics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system André-Oort conjecture N. Ratazzi and E. Ullmo, ''Galois + équidistribution = Manin-Mumford,'' in Arithmetic Geometry, Providence, RI: Amer. Math. Soc., 2009, vol. 8, pp. 419-430. Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Formal groups, \(p\)-divisible groups Galois+equidistribution = Manin-Mumford | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 linear systems of quadrics Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry On linear systems of reducible and irreducible quadrics with Jacobian identical zero | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system theta functions; Jacobians of Riemann surfaces; Verlinde formula Bott, R.: Surveys in diff. Geom.. 1, 1 (1991) Vector bundles on curves and their moduli, Theta functions and abelian varieties, Divisors, linear systems, invertible sheaves, Applications of holomorphic fiber spaces to the sciences On E. Verlinde's formula in the context of stable 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 Jacobian; irreducible linear systems of quadrics Quadratic and bilinear forms, inner products, Projective analytic geometry, Projective techniques in algebraic geometry, Jacobians, Prym varieties On the characteristic of the Jacobian of irreducible linear systems of quadrics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equigeneric families; equisingular families; nodal curves; algebraic surfaces; deformation theory Dedieu, T; Sernesi, E, Equigeneric and equisingular families of curves on surfaces, Publ. Mat., 61, 175-212, (2017) Families, moduli of curves (algebraic), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Singularities of curves, local rings, Deformations of singularities, Equisingularity (topological and analytic) Equigeneric and equisingular families of curves on surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system integrable systems; Hitchin systems; singular curves; Calogero-Moser system; Narasimhan-Ramanan parameterization Talalaev, D. V. and Chervov, A. V., ``Hitchin system on singular curves,'' e-print (2004). Relationships between algebraic curves and integrable systems, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Vector bundles on curves and their moduli, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics Hitchin system on singular 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 equidistribution; ergodic theory; Duke's theorem Curves over finite and local fields, Special divisors on curves (gonality, Brill-Noether theory) Equidistribution in \(\operatorname{Bun}_2(\mathbb{P}^1)\) | 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 combinatorial root count; control theory; dynamic pole placement problem; enumerative geometry; Grassmannian; numerical Schubert calculus; Pieri homotopy; quantum Schubert calculus Huber B., SIAM J. Control Optim. 38 (4) pp 1265-- (2000) Enumerative problems (combinatorial problems) in algebraic geometry, Pole and zero placement problems, Numerical computation of solutions to systems of equations, Symbolic computation and algebraic computation, Geometric methods, Grassmannians, Schubert varieties, flag manifolds Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system vector bundle on \(\mathbb{P}^1\); Grassmannian; spanned vector bundle; Plücker embedding Vector bundles on curves and their moduli, Grassmannians, Schubert varieties, flag manifolds Rational curves in Grassmannians and their Plücker embeddings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system postulation; zero-dimensional closed subscheme; linear systems of plane curves of \(\deg ree\quad d\) passing through the points DOI: 10.1007/BF01259324 Singularities of curves, local rings, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry On singularities of the curves belonging to some linear systems in \({\mathbb{P}}^ 2\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hilbert scheme; families of rational curves Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic) Appendix to ''Plücker conditions on plane rational curves'': Families of rational 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 Rees valuation; Lojasiewicz's number; integral closure; graded associated ring; toric ring; blow-up; normalized blow-up Monique Lejeune-Jalabert & Bernard Teissier, ``Clôture intégrale des idéaux et équisingularité'', Ann. Fac. Sci. Toulouse, Math.17 (2008) no. 4, p. 781-859 Integral closure of commutative rings and ideals, Valuations and their generalizations for commutative rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Singularities in algebraic geometry, Local deformation theory, Artin approximation, etc. Integral closure of ideals and equisingularity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system semiuniversal deformation of singularity; Kac-Moody algebra; Tits system; Weyl group; irreducible representations; characters; connected components [S1] Slodowy, P.: A character approach to Looijenga's invariant theory for generalized root systems. Preprint Representation theory for linear algebraic groups, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Deformations of singularities, Simple, semisimple, reductive (super)algebras, Associated Lie structures for groups, Deformations of complex singularities; vanishing cycles A character approach to Looijenga's invariant theory for generalized root 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 Euler characteristic; semi-algebraic set; complete intersection Dutertre, N.: An algebraic formula for the Euler characteristic of some semi-algebraic sets. J. pure appl. Algebra 139, 41-60 (1999) Semialgebraic sets and related spaces, Topological properties in algebraic geometry, Complete intersections An algebraic formula for the Euler characteristic of some semi-algebraic sets | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 variety; equivariant cohomology; Gröbner degeneration Lakshmibai, V., Raghavan, K.N., Sankaran, P.: Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. Pure Appl. Math. Q. \textbf{2}(3) (2006) (Special Issue: In honor of Robert D. MacPherson. Part 1, 699-717) Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus Equivariant Giambelli and determinantal restriction formulas for the Grassmannian | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system plane curve; prescribed multiplicities; prescribed singularities Mignon, T., Systèmes linéaires de courbes planes à singularités ordinaires imposées, C. R. Acad. Sci. Paris Ser. I Math., 327, 7, 651-654, (1998) Singularities of curves, local rings, Plane and space curves Linear systems of plane curves with prescribed ordinary 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 Buckley, A.; Zompatori, M.: Linear systems of plane curves with a composite number of base points of equal multiplicity. Trans. amer. Math. soc. 355, 539-549 (2003) Special divisors on curves (gonality, Brill-Noether theory), Plane and space curves, Divisors, linear systems, invertible sheaves Linear systems of plane curves with a composite number of base points of equal multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system numerically effective adjoint system; ample vector bundle; divisor Zhang, A theorem on the adjoint system for vector bundles, Manuscr. Math. 70 (2) pp 189-- (1991) Divisors, linear systems, invertible sheaves A theorem on the adjoint system for 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 smooth equisingular families; plane algebraic curves; non-smooth equisingular families DOI: 10.1155/S1073792897000056 Families, moduli of curves (algebraic), Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects) Smoothness of equisingular families of plane 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 algebraic variety; symplectic manifold; torus; moment polytope Allen Knutson, ``Puzzles, positroid varieties, and equivariant \(K\)-theory of Grassmannians'', , 2010 Group actions on varieties or schemes (quotients), Other transforms and operators of Fourier type, Momentum maps; symplectic reduction A compactly supported formula for equivariant localization and simplicial complexes of Białynicki-Birula decompositions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equisingularity; Whitney conditions; specialization to tangent cone Arturo Giles Flores, ``Specialization to the tangent cone and Whitney equisingularity'', Bull. Soc. Math. Fr.141 (2013) no. 2, p. 299-342 Singularities of surfaces or higher-dimensional varieties, Equisingularity (topological and analytic) Specialization to the tangent cone and Whitney equisingularity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system multiplicity of ideals; non-singular complex surfaces Multiplicity theory and related topics, Singularities in algebraic geometry, Singularities of curves, local rings, Plane and space curves, Local complex singularities, Invariants of analytic local rings, Equisingularity (topological and analytic) Linear systems and multiplicity of 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 adjoint linear series; pluricanonical linear series; mild singularities; Kawamata log terminal threefold; crepant projective birational morphism Lee, S, Remarks on the pluricanonical and the adjoint linear series on projective threefolds, Commun. Algebra, 27, 4459-4476, (1999) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(3\)-folds, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) Remarks on the pluricanonical and the adjoint linear series on projective 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 \(X\)-rank; symmetric tensor rank Projective techniques in algebraic geometry A finiteness result on the sets computing \(X\)-rank and spanning a prescribed linear 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 Pluricanonical system; adjoint linear system; variety of general type Rational and birational maps, Surfaces of general type, Divisors, linear systems, invertible sheaves Adjoint pluricanonical systems on varieties of general type | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic geometry; Mehmke-Segre invariant; linear systems Algebraic geometry Die Invariante von Mehmke-Segre und die linearen Systeme | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system holonomic \(D\)-modules; linear differential system; meromorphic connections Sabbah, C., Introduction to algebraic theory of linear systems of differential equations, (Elements de la theorie des systemes diferentiels. \(\mathcal{D}\)-modules coherents et holonomes, Nice, 1990, Travaux en Cours, vol. 45, (1993), Hermann), 1-80 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules Introduction to algebraic theory of linear systems of differential equations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Complete intersections, Residues for several complex variables Characterizations of freeness for equidimensional subspaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system pluricanonical maps; pluricanonical systems; varieties of gneral type Rational and birational maps, Embeddings in algebraic geometry, Minimal model program (Mori theory, extremal rays) On pluricanonical systems of algebraic varieties of general type | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system smooth \(n\)-fold polarized by a very ample line bundle; dimension of the adjoint linear system; adjunction theory; quadric fibrations M.C. Beltrametti - G.M. Besana - A.J. Sommese , On the dimension of the adjoint linear system for quadric fibrations . In: '' Algebraic Geometry and its Applications '', Proceedings of the 8-th Algebraic Geometry Conference, Yaroslavl', 1992 (A. Tikhomirov and A. Tyurin eds.), Aspects of Math. , E 25 , ( 1994 ), 9 - 20 , Vieweg . MR 1282015 | Zbl 0848.14002 Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Families, fibrations in algebraic geometry On the dimension of the adjoint linear system for 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 Cindy De Volder and Antonio Laface, Linear systems on generic \?3 surfaces, Bull. Belg. Math. Soc. Simon Stevin 12 (2005), no. 4, 481 -- 489. Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces Linear system on generic \(K3\) 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 space with torus action; ring; pseudomanifold; linear graph; equivariant homology; intersection homology MacPherson, R.D.: Equivariant invariants and linear graphs, ''Geometric Combinatorics''. In: Miller, E., Reiner, V., Sturmfels, B. (eds.) Procedings of Park City Mathematical Institute (PCMI) 2004 (Providence, RI), American Mathematical Society, pp. 317--388 (2007) Equivariant homology and cohomology in algebraic topology, Homology with local coefficients, equivariant cohomology, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic topology on manifolds and differential topology, Toric varieties, Newton polyhedra, Okounkov bodies Equivariant invariants and linear geometry | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic surface; linear system; numerically positive divisor Benveniste, Y.: Mechanics of materials. 3, 349 (1984) Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties On the fixed part of certain linear systems on surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system base point free pencil; free linear systems; singular curves Carvalho, C.: Linear systems on singular curves. Manuscripta Mathematica 98, 155-163 (1999) Divisors, linear systems, invertible sheaves, Singularities of curves, local rings, Pencils, nets, webs in algebraic geometry Linear systems on singular 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 height of ideal in a local ring; analytic spread; equimultiplicity; blowing up ideals Ulrich Orbanz, Multiplicities and Hilbert functions under blowing up, Manuscripta Math. 36 (1981/82), no. 2, 179 -- 186. , https://doi.org/10.1007/BF01170133 M. Herrmann and U. Orbanz, On equimultiplicity, Math. Proc. Cambridge Philos. Soc. 91 (1982), no. 2, 207 -- 213. Global theory and resolution of singularities (algebro-geometric aspects), Ideals and multiplicative ideal theory in commutative rings, Extension theory of commutative rings, Local rings and semilocal rings On equimultiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system dimensions of linear systems; line bundle; Riemann-Roch problem; effective divisor S. D. Cutkosky and V. Srinivas, On a problem of Zariski on dimensions of linear systems , Ann. of Math. (2) 137 (1993), 531-559. JSTOR: Divisors, linear systems, invertible sheaves, Riemann-Roch theorems On a problem of Zariski on dimensions of 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 Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Arithmetic theory of algebraic function fields, Curves over finite and local fields, Class numbers, class groups, discriminants An algebraic lifting invariant of Ellenberg, Venkatesh, and Westerland | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 curve; invariant linear subsystem; rational map; Galois covering; hyperelliptic tropical curve; canonical map Combinatorial aspects of tropical varieties, Geometric aspects of tropical varieties Galois quotients of tropical curves and invariant 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 linear systems; dimension of the singular locus; singularity; linear system; algorithmic method; ramification Divisors, linear systems, invertible sheaves, Ramification problems in algebraic geometry, Computational aspects in algebraic geometry, Singularities in algebraic geometry Linear systems, singularity and not too ramified morphisms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Thomas Keilen, Families of curves with prescribed singularities, Ph.D. thesis, Universität Kaiserslautern, 2001, http:// www. mathematik. uni-kl. de/ keilen/ download/ Thesis/ thesis.ps.gz. Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Singularities of curves, local rings Equisingular families 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 Harbourne-Hirschowitz conjecture; plane curves with prescribed multiplicities Dumnicki, M.; Jarnicki, W., New effective bounds on the dimension of a linear system in \(\mathbb{P}^2\), J. Symbolic Comput., 42, 621-635, (2007) Divisors, linear systems, invertible sheaves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) New effective bounds on the dimension of a linear system in \(\mathbb P^2\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic varieties; small points; equidistribution measures; fundamental inequality; function fields; tropical varieties; convex geometry Gubler, W., \textit{equidistribution over function fields}, Manuscripta Math., 127, 485-510, (2008) Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Riemann-Roch theorems, Global ground fields in algebraic geometry, Arithmetic dynamics on general algebraic varieties Equidistribution over function fields | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 projective manifold; ample Cartier divisor; Fujita conjecture; multiplier ideal Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Adjunction problems A note on adjoint 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 linear systems; singularities; mixed Hodge structures Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Mixed Hodge theory of singular varieties (complex-analytic aspects) A note on adjoint 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 multiplicity; stratification; resolution of singularities; Rees algebra; elimination Villamayor U, O.: Equimultiplicity, algebraic elimination and blowing-up. Adv. Math. 262, 313-369 (2014) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Multiplicity theory and related topics, Arithmetic rings and other special commutative rings Equimultiplicity, algebraic elimination, and blowing-up | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Divisors, linear systems, invertible sheaves A conjecture on special linear system \(\mathbb P^3\) | 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 linear series; Brill-Noether theorem Osserman, B.: Linked Grassmannians and crude limit linear series. Int. Math. Res. Not. \textbf{2006}(25), 1-27 (2006b) \textbf{(Article ID 25782)} Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), Grassmannians, Schubert varieties, flag manifolds Linked Grassmannians and crude limit 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 Equisingularity (topological and analytic), Singularities in algebraic geometry, Local deformation theory, Artin approximation, etc. Equisingularity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system plethystic calculus; permutations; symmetric functions; product-sum identities; cycle index \(q\)-calculus and related topics, Exact enumeration problems, generating functions, Permutations, words, matrices, Symmetric functions and generalizations, Combinatorial identities, bijective combinatorics, Enumerative problems (combinatorial problems) in algebraic geometry Plethystic exponential calculus and characteristic polynomials of permutations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 special linear system Coppens M., Kato T.: Non-trivial linear systems on smooth plane curves. Math. Nachr. 166, 71--82 (1994) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus Non-trivial linear systems on smooth plane curves | 0 |
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