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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 equations defining space curves; complete linear system; integral curve; index of completeness L. Gruson, R. Lazarsfeld, C. Peskine, On a theorem of Castelnuovo, and the equations defining space curves, Invent. Math. 72(3), 491--506 (1983). Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves On a theorem of Castelnuovo, and the equations defining space curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system intersection of two plane curves; deformation of singularities; linear system; degeneration; limit linear series Complete intersections, Plane and space curves, Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves On the intersection of two 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 projective normality; embedding by a complete linear system; complete non-singular surfaces of degree five Ohbuchi, A, On the projective normality of some varieties of degree \(5\), Pacific J. Math., 144, 313-325, (1990) Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Families, moduli, classification: algebraic theory On the projective normality of some varieties of degree 5 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system smooth irreducible curve on a Del~Pezzo surface; linear system; Clifford index; syzygies of curves; Kodaira divisor; gonality Pareschi G. (1991). Exceptional linear systems on curves on Del Pezzo surfaces. Math. Ann. 291: 17--38 Divisors, linear systems, invertible sheaves, Fano varieties, Vector bundles on curves and their moduli Exceptional linear systems on curves on Del Pezzo surfaces. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fano threefold of the first kind; linear system; del Pezzo surface Furushima, M., Tada, M.: Non-normal del Pezzo surfaces and Fano threefolds of the first kind. J. reine angew. Math. 429, 183--190 (1992) \(3\)-folds, Fano varieties, Divisors, linear systems, invertible sheaves Non-normal del Pezzo surfaces and Fano threefolds of the first kind | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system pencil of plane curves; quadratic transformations Euclidean analytic geometry, Special algebraic curves and curves of low genus On a certain property of the pencil of plane curves of the \(n\)th order with a singular point of multiplicity \((n-1)\) | 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 rank of the Jacobian matrix of a linear system of quadrics L. Degoli, Sur la caractéristique de la Jacobienne des systèmes linéaires de quadriques,Czechoslovak Math. J. 36 (1986), 476--484.Zbl 621: 14006 Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Sur la caractéristique de la Jacobienne des systèmes linéaires de quadriques. (On the characteristic of the Jacobian of 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 geometric systems theory; scattering; filtering; pole-placement; linear input-output system; Heaviside-Mikusinski theory of differential fields and operators; Kronecker pencil Hermann, R.: Topics in the geometric theory of linear systems. Interdisciplinary mathematics (1984) Research exposition (monographs, survey articles) pertaining to systems and control theory, Algebraic methods, Linear systems in control theory, Structure, classification theorems for modules and ideals in commutative rings, Curves in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Scattering theory of linear operators, Realizations from input-output data, Pole and zero placement problems, Filtering in stochastic control theory Topics in the geometric theory 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 semistable curve; moduli of curves; resolution of singularities; alteration; integral variety; monoidal transformations; semi-stable reduction theorem; multiplicity of intersection for two modules; Monsky-Washnitzer cohomology groups; monodromy actions on étale cohomology Berthelot, P., Altérations de variétés algébriques (d'après A.J. de jong), Séminaire Bourbaki, vol. 1995/96, Astérisque, 241, 273-311, (1997), Exp. No. 815, 5 Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Families, moduli of curves (algebraic), \(p\)-adic cohomology, crystalline cohomology, Étale and other Grothendieck topologies and (co)homologies Alterations of algebraic varieties (after A. J. de Jong) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; linear system of curves; degree J. Roé. Linear systems of plane curves with imposed multiple points, Illinois J. Math. 45 (2001), 895-906. Divisors, linear systems, invertible sheaves, Singularities of curves, local rings, Plane and space curves Linear systems of plane curves with imposed multiple 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 fat points; linear system of plane curves; bounds for the regularity Catalisano, Linear systems of plane curves through fixed ''fat'' points of P2, J. Algebra 142 pp 81-- (1991) Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry Linear systems of plane curves through fixed ''fat'' points of \(\mathbb{P}^ 2\) | 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 enumeration of curves; complete linear system; plane curve singularities S.\ L. Kleiman and R. Piene, Enumerating singular curves on surfaces, Algebraic geometry: Hirzebruch 70 (Warsaw 1998), Contemp. Math. 241, American Mathematical Society, Providence (1999), 209-238. Enumerative problems (combinatorial problems) in algebraic geometry, Singularities of curves, local rings, Special surfaces, Divisors, linear systems, invertible sheaves Enumerating singular 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 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 quadratic polynomial mappings; linear group; linear equivalence; topological equivalence; classification of polynomial mappings; polynomial equivalence Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) On quadratic polynomial mappings from the plane into the \(n\) dimensional 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 linear algebraic groups; representations of affine algebraic groups; Jordan-Chevalley decomposition; conjugacy theorems; Borel subgroups; maximal tori; reductive groups; Lie algebras; Weyl group; root system Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions, Nilpotent and solvable Lie groups, Linear algebraic groups and related topics Linear 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 reductive, connected, linear algebraic group; rational G-module; finite resolutions; direct sums of tensor products of exterior powers; Chevalley group schemes; general linear group schemes; Akin-Buchsbaum resolution Donkin, S, \textit{finite resolutions of modules for reductive algebraic groups}, J. Algebra, 101, 473-488, (1986) Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Group schemes Finite resolutions of modules for reductive 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 rationality of normal threefold; scroll over a rational surface; linear system Mezzetti, Linear Systems Representing Threefolds Which Are Scrolls on a Rational Surface, Collect. Math. 49 pp 417-- (1998) \(3\)-folds, Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Rational and unirational varieties Linear systems representing threefolds which are scrolls on a rational 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 non-Gorenstein singularities; very ampleness of the linear system; Weil divisor; non-rational singularities Fumio Sakai, Reider-Serrano's method on normal surfaces, Algebraic geometry (L'Aquila, 1988) Lecture Notes in Math., vol. 1417, Springer, Berlin, 1990, pp. 301 -- 319. Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Reider-Serrano's method on 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 linear system; blow-up of 0-dimensional subscheme; very ample divisor; birational morphism E. D. Davis and A. V. Geramita, ''Birational Morphisms to \(\mathbb{P}\)2: An Ideal-Theoretic Perspective,'' Math. Ann. 279, 435--448 (1988). Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Rational and birational maps, Projective techniques in algebraic geometry Birational morphisms to \({\mathbb{P}}^ 2:\) An ideal-theoretic perspective | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; Segre-Harbourne-Hirschowitz conjecture Seibert, J.: The dimension of quasihomogeneous planar linear systems with multiplicity four. Comm. algebra 29, No. 3, 1111-1130 (2001) Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Plane and space curves The dimension of quasihomogeneous planar linear systems with multiplicity four | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic differential system; algebraic invariant curve; topological equivalence; group action; affine invariant polynomial; configuration of invariant lines; multiplicity of an invariant line; Lotka-Volterra differential system Schlomiuk, D; Vulpe, N, Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight lines, J. Fixed Point Theory Appl., 8, 69, (2010) Nonlinear differential equations in abstract spaces, Geometric methods in ordinary differential equations, Group actions on varieties or schemes (quotients), Symmetries, invariants of ordinary differential equations, Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight 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 finite number of isomorphism classes of linear maximal Cohen-Macaulay modules; ring of integers of an algebraic number field; quadratic form; matrix factorizations; Clifford algebra; Jordan-Zassenhaus theorem Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), General binary quadratic forms Linear Cohen-Macaulay modules on integral 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 generators; ideals; semialgebraic sets; closures of ideals; semialgebraic partial differential operator; real radical; linear system; polynomial system; algorithms Semialgebraic sets and related spaces, Numerical computation of solutions to systems of equations, Numerical computation of roots of polynomial equations, Commutative rings and modules of finite generation or presentation; number of generators, Continuity and differentiation questions, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Solutions to a system of equations for \(C^m\) 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 half-canonical series; linear system; moduli space of curves; deformation M. Teixidor i Bigas, Half-canonical series on algebraic curves , Trans. Amer. Math. Soc. 302 (1987), 99--115. JSTOR: Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Formal methods and deformations in algebraic geometry Half-canonical series on 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 morphisms of \(M\)-curves; non-special effective divisors; maximal real algebraic curves; linear system J. Huisman, On the geometry of algebraic curves having many real components, Rev. Mat. Complut. 14 (2001), no. 1, 83-92. Topology of real algebraic varieties, Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves On the geometry of algebraic curves having many real components | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 Gröbner bases; Hilbert functions; homogeneous rings; graded rings; Cayley-Bacharach property; gradings; minimal homogeneous system of generators; minimal resolution conjecture; multivariante Hilbert series; CoCoA; SAGBI bases; automatic theorem proving M. Kreuzer and L. Robbiano, \textit{Computational Commutative Algebra 2}, Springer Science & Business Media, 2005. Computational aspects and applications of commutative rings, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to commutative algebra, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, Graded rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Computational aspects in algebraic geometry Computational commutative algebra. 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 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 tropical algebra; \(d\)-base; \(s\)-base; dual base; change of base semirings; supertropical semifields; semiring module; supertropical linear algebra; supertropical bilinear forms; Cauchy-Schwarz spaces; Gram-Schmidt procedure; supertropical quadratic forms Izhakian, Z.; Knebusch, M.; Rowen, L.: Dual spaces and bilinear forms in supertropical linear algebra, Linear multilinear algebra 60, No. 7, 865-883 (2012) Vector spaces, linear dependence, rank, lineability, Theory of matrix inversion and generalized inverses, Determinants, permanents, traces, other special matrix functions, Semirings, Matrices over special rings (quaternions, finite fields, etc.), Quadratic and bilinear forms, inner products Dual spaces and bilinear forms in supertropical linear algebra | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Iwahori-Hecke algebras; cograssmannian permutations; Kazhdan-Lusztig polynomials; Deodhar elements; Bott-Samelson resolution; sets of masks Jones, Brant; Woo, Alexander, Mask formulas for cograssmannian Kazhdan-Lusztig polynomials, Ann. Comb., 17, 1, 151-203, (2013) Hecke algebras and their representations, Grassmannians, Schubert varieties, flag manifolds Mask formulas for cograssmannian Kazhdan-Lusztig polynomials. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system base locus of a linear system of quadrics Divisors, linear systems, invertible sheaves, Projective and enumerative algebraic geometry, Questions of classical algebraic geometry On the individuation of the basis of 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 adjoint linear system; global generation of adjoint bundle; ample line bundle S. Helmke, ''On Fujita's conjecture,''Duke Math. J.,88:2, 201--216 (1997). Divisors, linear systems, invertible sheaves On Fujita's conjecture | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system dual curve; Plücker's formulas; algebraic families of cuspidal plane curves; Hilbert's 15th problem; 1-parameter families Kleiman S., Speiser R.,Enumerative geometry of cuspidal plane cubics. Volume 6 of CMS-AMS Conf., 1984, 227--268. Enumerative problems (combinatorial problems) in algebraic geometry, Singularities of curves, local rings, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus Enumerative geometry of cuspidal plane cubics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system 4-folds of general type; pluricanonical map; canonical volume; linear system; birational geometry \(4\)-folds, Rational and birational maps, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) On minimal 4-folds of general type with \(p_g \geq 2\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system singularities of a 3-dimensional variety; quadratic transformations Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Singularities in algebraic geometry, Rational and birational maps Techniques pour la désingularisation des champs de vecteurs. (Techniques for the desingularization of vector 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 polarized surfaces; self-intersection number; delta-genus; linear system; blowing up; image of the exceptional curve Moduli, classification: analytic theory; relations with modular forms, Projective techniques in algebraic geometry Polarized surfaces of low degrees with respect to the delta-genus | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system canonical linear system; intersection of all hyperquadrics; Reid's conjecture; regular even canonical surface Konno, K., Even canonical surfaces with small \(K^2\), I, Nagoya Math. J., 129, 115-146, (1993) Special surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves Even canonical surfaces with small \(K^ 2\). I | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system pfaffian; Azumaya algebra; quadratic form; alternating elements; discriminant module; tensor products of quaternion algebras; involution of orthogonal type; algebra with involution; involutions on central simple algebras; group of special similitudes Knus, M.-A., Parimala, R., Sridharan, R.: Pfaffians, central simple algebras and similitudes. Math. Z.206, 589-604 (1991) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Rings with involution; Lie, Jordan and other nonassociative structures, Algebraic theory of quadratic forms; Witt groups and rings, Finite-dimensional division rings, Quadratic forms over general fields, Quadratic spaces; Clifford algebras, Clifford algebras, spinors, Quadratic and bilinear forms, inner products, Brauer groups of schemes, Linear algebraic groups over arbitrary fields Pfaffians, central simple algebras and similitudes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lagrangian Grassmannian; Wronski map; Plücker map; self-adjoint lineal differential operator; symmetric linear control system; pole placement map Grassmannians, Schubert varieties, flag manifolds, Linear ordinary differential equations and systems, Pole and zero placement problems Injectivity of generalized Wronski 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 iterated mappings; dynamical systems; Coxeter groups; birational transformations; Cremona transformations; inversion relations; Yang- Baxter equations; automorphisms of algebraic varieties; elliptic curves; resonant tori; Plücker variables; quantum integrability; involutions; birational mappings; deformations M.P. Bellon, J.-M. Maillard, C.-M. Viallet, Dynamical systems from quantum integrability, in: J.-M. Maillard (Ed.), Proceedings of the Conference Yang--Baxter Equations in Paris, World Scientific, Singapore, 1993, pp. 95--124, Int. J. Mod. Phys. Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Rational and birational maps, Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics, Automorphisms of surfaces and higher-dimensional varieties Dynamical systems from quantum integrability | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system dependent coefficients; solution set; system of interval linear equations; shape of the solution set; projection; semialgebraic set Alefeld, G., Kreinovich, V. \& Mayer, G. (1998), ''The Shape of the Solution Set for Interval System with Dependent Coefficients', Math. Nachr. 192, 23--36. Linear equations (linear algebraic aspects), Interval and finite arithmetic, Linear inequalities of matrices, Computational aspects of higher-dimensional varieties, Semialgebraic sets and related spaces The shape of the solution set for systems of interval linear equations with dependent 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 positive roots of a root system; monomial ideals; toric ideals; squarefree initial ideals; quadratic squarefree monomials; cubic squarefree monomials; unimodular triangulations; normalized volume; combinatorics; anti-standard trees; Catalan numbers; number of graphs Kitamura, Tomonori: Gröbner bases associated with positive roots and Catalan numbers, Osaka J. Math. 42, No. 2, 421-433 (2005) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Toric varieties, Newton polyhedra, Okounkov bodies, Other designs, configurations, Convex sets in \(n\) dimensions (including convex hypersurfaces), Factorials, binomial coefficients, combinatorial functions, Arrangements of points, flats, hyperplanes (aspects of discrete geometry) Gröbner bases associated with positive roots and Catalan numbers | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system non-complete linear system of hyperplane sections; Green's theory; abelian variety Birkenhake C. (1996). Noncomplete linear systems on abelian varieties. Trans. Am. Math. Soc. 348(5): 1885--1908 Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties Noncomplete 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 simultaneous algebraic equations; mixed volume of convex bodies; Kushnirenko and Bernstein's theorem; linear system on a variety; Cartier divisor; intersection index K. Kaveh and A. G. Khovanskii, ''Mixed volume and an extension of intersection theory of divisors,'' Mosc. Math. J., vol. 10, iss. 2, pp. 343-375, 2010. Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Mixed volumes and related topics in convex geometry Mixed volume and an extension of intersection theory of 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 simple singularities; resolution of singularities; Lie algebras; subregular nilpotent elements Lê, D. T.; Tosun, M., Simple singularities and simple Lie algebras, \textit{TWMS J. Pure Appl. Math.}, 2, 1, 97-111, (2011) Singularities in algebraic geometry, Complex surface and hypersurface singularities, Coadjoint orbits; nilpotent varieties, Deformation of singularities Simple singularities and simple Lie algebras | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Grassmann variety; line bundle; linear system; extension of vector bundles; Brill-Noether locus; moduli space Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles On the image of certain extension maps. I | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system degree of algebraic point; curves; linear system; Mordell-Weil group; Jacobian Other algebraic groups (geometric aspects), Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves Parametrization of algebraic points of low degrees on the Hindry-Silverman 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 degree of algebraic point; curves; Mordell-Weil group; Jacobian; linear system Other algebraic groups (geometric aspects), Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves Algebraic points of any given degree on the affine curves \(y^2=x(x+2p)(x+4p)(x^2-8p^2)\) | 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 surfaces of general type; embedding; rational double points; linear system Surfaces of general type, Embeddings in algebraic geometry, Divisors, linear systems, invertible sheaves A projective embedding of surfaces of general type | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fano variety; canonical divisor; index; existence of smooth divisors in a linear system; minimal model program Fano varieties, Divisors, linear systems, invertible sheaves The existence of good divisors of Fano varieties of coindex 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 number of Fano varieties; number of polarized varieties; nef divisor; base point free theorem; linear system; log terminal singularities Kollár, J., Effective base point freeness, Math. Ann., 296, 4, 595-605, (1993) Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory, Enumerative problems (combinatorial problems) in algebraic geometry Effective base point freeness | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system defining equations; elliptic curve; 3-dimensional Sklyanin algebra; quadratic algebra; twisted homogeneous coordinate ring; elements of degree \(p\); cyclicity Le Bruyn, L.: The arithmetic of Sklyanin algebras I: the defining equations,Comm. Algebra (to appear). Quantum groups (quantized enveloping algebras) and related deformations, Graded rings and modules (associative rings and algebras), Elliptic curves, Homological dimension in associative algebras, Noetherian rings and modules (associative rings and algebras) The arithmetic of Sklyanin algebras. I: The defining 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 cohomological classification of Kähler threefold; Del Pezzo surfaces; Fano varieties; linear system T. Fujita, On the structure of polarized manifolds with total deficiency one. III, J. Math. Soc. Japan 36 (1984), no. 1, 75-89. \(n\)-folds (\(n>4\)), Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory, Special varieties On the structure of polarized manifolds with total deficiency one. III | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic forms; pairs of quadratic forms; nonsingular varieties; intersections of linear subspaces Quadratic forms over general fields, Enumerative problems (combinatorial problems) in algebraic geometry, Configurations and arrangements of linear subspaces, Other finite incidence structures (geometric aspects) Intersections of maximal subspaces of zeros of two quadratic forms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 linear system of quadrics; Jacobian matrix; Segre variety Questions of classical algebraic geometry, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Quadratic and bilinear forms, inner products, Grassmannians, Schubert varieties, flag manifolds On Segre varieties, based on 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 separation of two imaginary conjugated elements; quadratic involution of imaginary points; transformation of coordinates Real-analytic and semi-analytic sets, Length, area and volume in real or complex geometry, Questions of classical algebraic geometry On the geometric definition of imaginary 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 base point free linear system; Galois covering; minimal surface of general type; divisor; fundamental group [CatTov] Catanese, F., Tovena, F.: Vector bundles with zero discriminant and fundamental groups of algebraic surfaces. In: Complex Algebraic Varieties. (Lect. Notes Math., vol. 1507, pp. 51-70) Berlin Heidelberg New York: Springer 1992 Homotopy theory and fundamental groups in algebraic geometry, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Surfaces of general type Vector bundles, linear systems and extensions of \(\pi_ 1\) | 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 Hilbert function; dimension of linear system; zero-dimensional scheme; Hilbert's fourteenth problem; generic fat points Evain, L., La fonction de Hilbert de la réunion de \(4^h\) gros points génériques de \(\mathbb P^2\) de même multiplicité, J. Algebraic Geom., 8, 4, 787-796, (1999) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series The Hilbert function of the union of \(4^h\) generic fat points of \(\mathbb{P}^2\) of the same 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 spinor variety; linear sections; Chow motives; birational transformations; classification of algebraic varieties; Hilbert schemes \(n\)-folds (\(n>4\)), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Homogeneous spaces and generalizations, Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives On linear sections of the spinor tenfold. I | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linkage; Hartshorne-Rao module; system of generators; resolution; Kronecker's embedding theorem; liaison theorems for quasi-complete intersections; arithmetically Buchsbaum projective schemes; k-Buchsbaum curves M. Fiorentini and A.T. Lascu, Projective embeddings and linkage. Rend. Sem. Mat. Fis. Milano57, 161--182 (1987) Linkage, Projective techniques in algebraic geometry Projective embeddings and linkage | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system planar quadratic differential system; weak focus of third order; Hilbert's sixteenth problem Llibre, J. & Schlomiuk, D. [2004] '' The geometry of quadratic differential systems with a weak focus of third order,'' Canad. J. Math.56, 310-343. genRefLink(16, 'S0218127416501881BIB019', '10.4153%252FCJM-2004-015-2'); genRefLink(128, 'S0218127416501881BIB019', '000220340700005'); Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Ordinary differential equations and systems on manifolds, Geometric methods in ordinary differential equations, Structure of families (Picard-Lefschetz, monodromy, etc.) The geometry of quadratic differential systems with a weak focus of third order | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quantum cohomology; variation of Hodge structures; semi-infinite variation of Hodge structures; mirror symmetry; Landau-Ginzburg model; toric Deligne-Mumford stack; orbifold; orbifold quantum cohomology; Crepant resolution conjecture; Ruan's conjecture; \(K\)-theory; McKay correspondence; oscillatory integral; hypergeometric function; GKZ-system; singularity theory; gamma class H. Iritani, An integral structure in quantum cohomology and mirror symmetry for toric orbifolds. \textit{Adv. Math.}, 222(2009), No.3, 1016-1079. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds An integral structure in quantum cohomology and mirror symmetry for toric orbifolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; linear system of plane curves Mignon, T., An asymptotic existence theorem for plane curves with prescribed singularities, J. Algebraic Geom., 10, 2, 281-297, (2001) Singularities of curves, local rings, Plane and space curves An asymptotic existence theorem for plane curves with prescribed 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 adjunction; log canonical divisor; Fujita's freeness conjecture; subadjunction theorem; codimension 2; normalization; moduli space of curves; adjoint linear system Y. Kawamata, ''Subadjunction of Log Canonical Divisors for a Subvariety of Codimension 2,'' in Birational Algebraic Geometry, Baltimore, MD, 1996 (Am. Math. Soc., Providence, RI, 1997), Contemp. Math. 207, pp. 79--88. Divisors, linear systems, invertible sheaves, Low codimension problems in algebraic geometry Subadjunction of log canonical divisors for a subvariety of codimension 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 Fano variety; Mori fibre space; birational map; birational rigidity; linear system; maximal singularity; quadratic singularity; bi-quadratic singularity Rational and birational maps, Birational automorphisms, Cremona group and generalizations Birational geometry of varieties fibred into complete intersections of codimension 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 linear system; integrally closed ideals; valuation ideals; factorisation of complete ideals Steven Dale Cutkosky, Complete ideals in algebra and geometry, Commutative algebra: syzygies, multiplicities, and birational algebra (South Hadley, MA, 1992) Contemp. Math., vol. 159, Amer. Math. Soc., Providence, RI, 1994, pp. 27 -- 39. Ideals and multiplicative ideal theory in commutative rings, Integral closure of commutative rings and ideals, Valuations and their generalizations for commutative rings, Divisors, linear systems, invertible sheaves Complete ideals in algebra and 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 canonical system; nodal curve; linear system; degeneration of curves Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory) Canonical systems and their limits on stable curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hilbert functions; Betti numbers; minimal system of generators; fat points; minimal free resolution Fatabbi, G., On the resolution of ideals of fat points, \textit{J. Algebra}, 242, 92-108, (2001) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings On the resolution of ideals of fat points | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system surfaces of general type; canonical linear system Sun X.T.: Surfaces of general type with canonical pencil. Acta Math. Sin. 33, 769--773 (1990) Surfaces of general type, Divisors, linear systems, invertible sheaves Surfaces of general type with canonical pencil | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; Bertini's theorem; type of singularities; linear system Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry On Bertini's theorem | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularity of algebroid surface; monoidal transformations; positive characteristic Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Characterization of W-transversal sections of an algebraic surface of dimensionality type 1 over W (positive characteristic) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system square values at consecutive integers; system of quadratic Diophantine equations; quadratic polynomials; perfect squares; rational points; elliptic curve D. Allison, ''On square values of quadratics,'' Math. Proc. Cambridge Philos. Soc., 99, No. 3, 381--383 (1986). Quadratic and bilinear Diophantine equations, Special sequences and polynomials, Elliptic curves over global fields, Rational points On square values of quadratics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system isogeny theorem for elliptic curves; translation formulas; positive upper bound for linear forms; heights; explicit lower bounds for linear forms in elliptic logarithms; elliptic curves; explicit bounds for the growth of the Weierstrass functions; derivation formulas David, S., Minorations de formes linéaires de logarithmes elliptiques, Mém. Soc. Math. France, 62, 1-143, (1995) Transcendence theory of elliptic and abelian functions, Linear forms in logarithms; Baker's method, Elliptic curves over global fields, Isogeny Lower bounds for linear forms in elliptic logarithms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resultant; linear system of plane curves through fixed points; complete intersections; double real intersection points Plane and space curves, Complete intersections, Real algebraic sets Deformation of complete intersections in the plane | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system arithmetic genus; geometric genus; deficiency to the completeness of the linear system Divisors, linear systems, invertible sheaves, Curves in algebraic geometry Linear series on space curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system zero-cycles; Hilbert function; dimension of the linear system of plane curves; multiplicities S. Giuffrida,Hilbert function of a 0-cycle in P 2, Le Matematiche, Vol. XL, fasc. I--II, (1985), pp. 252--266. Algebraic cycles, Divisors, linear systems, invertible sheaves Hilbert function of a 0-cycle 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 Puiseux's theorem; Newton-Puiseux algorithm; infinitely near points; proximate points; satellite and free points; resolution of singularities; equisingularity; semigroup of a curve; characteristic exponents; linear families of germs; clusters; polar germ; formal power series; convergent power series E. Casas-Alvero, Singularities of plane curves, London Math. Soc. Lecture Note Ser. 276, Cambridge University Press, Cambridge 2000. Singularities of curves, local rings, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces, Equisingularity (topological and analytic), Local complex singularities, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Germs of analytic sets, local parametrization Singularities of 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 semisimple linear algebraic groups; motivic invariants; indices of Tits algebras; Grothendieck filtrations; algebras with orthogonal involution; quadratic forms; function fields of Severi-Brauer varieties Quéguiner-Mathieu, A.; Semenov, N.; Zainoulline, K., J. Pure Appl. Algebra, 216, 2614-2628, (2012) Linear algebraic groups over arbitrary fields, (Equivariant) Chow groups and rings; motives, Rings with involution; Lie, Jordan and other nonassociative structures, Algebraic theory of quadratic forms; Witt groups and rings The \(J\)-invariant, Tits algebras and triality. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system birationality of canonical map; canonical linear system; minimal surface of general type; numerical Godeaux surface; Campedelli surface DOI: 10.1142/S0129167X94000036 Surfaces of general type, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli On the pluricanonical maps of Godeaux and Campedelli 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 Cohen-Macaulay variety; \(F\)-splitting; Kempf's resolution; action of linear groups; Schubert variety; variety of complexes V.B. Mehta and V. Trivedi, Variety of complexes and \(F\) -splitting, J. Alg. 215 (1999), 352-365. Group actions on varieties or schemes (quotients), Syzygies, resolutions, complexes and commutative rings, Singularities in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Variety of complexes and \(F\)-splitting | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; Nash transformations; surface singularity; classification of sandwiched singularities; classification of plane curve singularities Mark Spivakovsky, ``Sandwiched singularities and desingularization of surfaces by normalized Nash transformations'', Ann. Math.131 (1990) no. 3, p. 411-491 Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings Sandwiched singularities and desingularization of surfaces by normalized Nash transformations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system conic optimization; extended formulation; linear matrix inequality; nonnegative circuit polynomial; polynomial optimization; projected spectrahedron; Ramsey theory; real algebraic geometry; second-order cone; semidefinite optimization; sum of squares; truncated quadratic module Semidefinite programming, Nonconvex programming, global optimization, Quadratic programming, Convex programming, Ramsey theory, Semialgebraic sets and related spaces, Convex sets in \(n\) dimensions (including convex hypersurfaces) Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Kac-Moody Lie algebras; Kac-Moody groups; representation theory; flag varieties; semisimple simply-connected algebraic groups; parabolic subgroups; Weyl-Kac character formula; \(\mathfrak n\)-homology; ind-varieties; pro-groups; pro-Lie algebras; Tits systems; Demazure character formula; Schubert varieties; Cohen-Macaulay varieties; Borel-Weil-Bott theorem; Bernstein-Gelfand-Gelfand resolution; Kempf resolution; Cartan subalgebras; generalized Cartan matrix; Plücker relations; nil-Hecke rings; cup products; Leray-Serre spectral sequence; smoothness of Schubert varieties; affine Kac-Moody algebras Kumar, S., Kac-Moody groups, their flag varieties and representation theory, 204, (2002), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc., Boston, MA Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Loop groups and related constructions, group-theoretic treatment, Research exposition (monographs, survey articles) pertaining to topological groups, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Grassmannians, Schubert varieties, flag manifolds, Rational and unirational varieties Kac-Moody groups, their flag varieties and representation theory | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system of plane curves; collisions of fat points Evain, L., Calculs de dimensions de systèmes linéaires de courbes planes par collisions de gros points, C. R. Acad. Sci. Paris Sér. I Math., 325, 12, 1305-1308, (1997) Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special algebraic curves and curves of low genus Calculation of the dimensions of linear systems of plane curves by collisions of fat points | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system stable rationality; varieties of linear algebraic groups; canonical quadratic form DOI: 10.1007/BF02112482 Classical groups, Group varieties, Algebraic theory of quadratic forms; Witt groups and rings The group of congruence coefficients of a canonical quadratic form and stable rationality of the \(PSO\) 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 defect of the topological Euler characteristic; hypersurface of compact complex manifold; linear system of divisors; multiplicity of the dual variety Hypersurfaces and algebraic geometry, Duality theorems for analytic spaces, Divisors, linear systems, invertible sheaves Multiplicity of the dual 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 singular surface; subcanonical surface; arithmetically Cohen-Macaulay surface; smooth normalization; linear system of curves; Castelnuovo bound; complete intersections Special surfaces, Divisors, linear systems, invertible sheaves A sharp Castelnuovo bound for the normalization of certain 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 polarized projective varieties; arithmetic genus; Euler-Poincaré characteristic; theory of surfaces; Iitaka dimension; Kodaira dimension; Cartier divisor; linear system Y. FUKUMA, On the second sectional H-arithmetic genus of polarized manifolds, Math. Z., 250 (2005), pp. 573-597. Zbl1071.14008 MR2179612 Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Riemann-Roch theorems, \(n\)-folds (\(n>4\)) On the second sectional \(H\)-arithmetic genus of polarized manifolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system system of linear equations; system of polynomial equations; solution with minimal Euclidean norm; least-squares solution with minimal Euclidean norm Tyszka, Some conjectures on addition and multiplication of complex (real) numbers, Int. Math. Forum 4 pp 521-- (2009) Real and complex fields, Real algebraic sets Some conjectures on addition and multiplication of complex (real) numbers | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system projective space; linear system of plane curves; rational surface Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Embeddings in \({\mathbb P}^4\) using 2-homogeneous 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 arithmetic of elliptic curves; linear independence of \(L\)-functions; Faltings theorem; isogenies of abelian varieties; equivalence of ternary quadratic forms Elliptic curves over global fields, Elliptic curves, Isogeny Contribution to arithmetic of elliptic curves and abelian varieties. (Abstract of thesis) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Bäcklund transformations; system of PDE; Tshirnhaus transformations; linearization; differential algebra; Galois theory for a class of PDE; microlocal point Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Holomorphic bundles and generalizations, Differential complexes, Modules of differentials \({\mathcal D}\)-modules and nonlinear 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 postulation; arithmetically Cohen-Macaulay 0-dimensional subschemes of a smooth quadric; linear system of divisors; Hilbert function Giuffrida S., Maggioni R., Ragusa A.: On the postulation of 0-dimensional subschemes on a smooth quadric. Pacific J. Math. 155(2), 251--282 (1992) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series On the postulation of 0-dimensional subschemes on a smooth quadric. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hyperplane arrangements; ideals generated by products of linear forms; linear free resolution; orlik-terao algebra; special fiber; symmetric ideal Syzygies, resolutions, complexes and commutative rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Configurations and arrangements of linear subspaces, Arrangements of points, flats, hyperplanes (aspects of discrete geometry) On ideals generated by \(a\)-fold products of linear forms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; symmetric product of curve; Zariski-tangent space; secant line divisor; Grassmannians Coppens, M., An infinitesimal study of secant space divisors, J. Pure Appl. Algebra, 113, 121-144, (1996) Divisors, linear systems, invertible sheaves, Grassmannians, Schubert varieties, flag manifolds, Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry An infinitesimal study of secant space divisors. Appendix by Trygve Johnsen | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; generic curve; prescribed singularities Mignon, T., Intersection de courbes planes et construction de courbes à singularités ordinaires, J. Pure Appl. Algebra, 158, 2-3, 267-294, (2001) Singularities of curves, local rings, Plane and space curves, Families, moduli of curves (algebraic) Intersection of plane curves and construction of curves with 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 moduli spaces of stable holomorphic bundles; linear system; ruled surface; Dolgachev surfaces DOI: 10.2307/2374705 Algebraic moduli problems, moduli of vector bundles, Families, moduli, classification: algebraic theory Moduli of vector bundles with odd \(c_ 1\) on surfaces with \(q=p_ g=0\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system projective embeddings; base point free linear system; blowing-up of a finite set of points in the projective plane M. Coppens, ''Embedding of blowing-ups'', Università degli Studi di Bologna, Dipartimento di Matematica, Seminari di Geometria 1991--1993, 89--100. Embeddings in algebraic geometry, Projective techniques in algebraic geometry Embeddings of 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 divisors on the cubic surface; algorithm; dimension of the complete linear system A. Geramita, Lectures on the non-singular cubic surface in \(\mathbb{P}^3\) , Queen's Papers Pure Appl Math. 83 , Queen's University, Kingston, 1989. Special surfaces, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Lectures on the non-singular cubic surface in \({\mathbb{P}}^ 3\). Appendix A: The Hilbert-Burch theorem (by A. V. Geramita and E. Kani). Appendix B: Working and playing on the cubic surface (by Robert McCann) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 Divisors, linear systems, invertible sheaves, Curves in algebraic geometry Some problems on linear systems of plane curves | 0 |
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