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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 surfaces of general type; bicanonical maps; minimal surface; linear system Surfaces of general type, Birational geometry, Divisors, linear systems, invertible sheaves A remark on bicanonical maps 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 regularity of linear system; schemes of fat points Paxia G., On flat families of fat points Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves On flat families 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 zero-dimensional scheme; Macaulay inverse system; mixed spline; ideal of linear forms; fat points; Hilbert function; number of splines Geramita, A. V.; Schenck, H., Fat points, inverse systems, and piecewise polynomial functions, J. Algebra, 204, 1, 116-128, (1998) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Numerical computation using splines Fat points, inverse systems, and piecewise polynomial 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 dimension of complete linear system of divisors; Mori quartic surface; degree; genus; space curve; Hilbert function Giuffrida, S.: The Hilbert function of curves on certain smooth quartic surfaces. Manuscripta math. 65, No. 4, 395-411 (1989) Plane and space curves, Divisors, linear systems, invertible sheaves, Special surfaces, Parametrization (Chow and Hilbert schemes) The Hilbert function of curves on certain smooth quartic 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 of plane curves; degeneration C. CILIBERTO - R. MIRANDA, Degenerations of planar linear systems, J. reine angew. Math., 501 (1998), pp. 191-200. Zbl0943.14002 MR1637857 Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Degenerations of planar 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 families of singular rational curves; partial resolution of singularities Fibrations, degenerations in algebraic geometry, Algebraic moduli problems, moduli of vector bundles Projective bundles of singular 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 very ample line bundle; adjoint linear system; multiplier ideals L. Ein, \textit{Adjoint linear systems}, in: \textit{Current Topics in Complex Algebraic Geometry}, MSRI Publications, 1995, pp. 87-95. Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties 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 \(\mathcal{S}_5\)-covers; canonical resolution; surfaces of general type with positive indices; Galois closure curves; Galois points Global theory and resolution of singularities (algebro-geometric aspects), Coverings in algebraic geometry, Ramification problems in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Surfaces of general type Galois closure covers for 5-fold covers between smooth surfaces and its application | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system formal function along a subspace; implicit differentiation; formal power series; standard basis of a local ideal; resolution of singularities Edward Bierstone and Pierre D. Milman, Standard basis along a Samuel stratum, and implicit differentiation, The Arnoldfest (Toronto, ON, 1997) Fields Inst. Commun., vol. 24, Amer. Math. Soc., Providence, RI, 1999, pp. 81 -- 113. Formal neighborhoods in algebraic geometry, Local structure of morphisms in algebraic geometry: étale, flat, etc., Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Formal methods and deformations in algebraic geometry, Formal power series rings, Relevant commutative algebra Standard basis along a Samuel stratum, and implicit differentiation | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 differential system; Euler characteristic class Sheaves of differential operators and their modules, \(D\)-modules, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Exotic index theories on manifolds, Index theory, de Rham cohomology and algebraic geometry Ellipticité et \(K\)-théorie. (Ellipticity and \(K\)-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 monomial curve; graded Betti numbers of the minimal free resolution; Cohen-Macaulay Campillo, A.; Giménez, Ph.: Graphes arithmétiques et syzygies. C. R. Acad. sci. Paris 324, 313-316 (1997) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies Arithmetic graphs and syzygies | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 curves; generality on pointsets in projective 2-space; very ample divisor; blowing-up a finite set of points; Cayley-Bacharach theorem Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Families, moduli of curves (algebraic) Bese's very ampleness theorem and punctured complete intersections | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system local uniformization; hypersurface singularities; resolution of singularities; defect; multiplicity; valuations; Perron transforms; Zariski's reduction of singularities; defectless projection Global theory and resolution of singularities (algebro-geometric aspects), General valuation theory for fields, Valuations, completions, formal power series and related constructions (associative rings and algebras) Defect and local uniformization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system group of rational points; reductive connected algebraic group; irreducible characters; unipotent elements; class functions; orthonormal bases; characteristic functions; irreducible perverse sheaves; character sheaves; local intersection cohomology; principal series representation; Green functions; unipotent representations Lusztig, G.: On the character values of finite Chevalley groups at unipotent element. J. Algebra,104, 146--194 (1986) Representation theory for linear algebraic groups, Linear algebraic groups over finite fields, Cohomology theory for linear algebraic groups, \(p\)-adic cohomology, crystalline cohomology, Group actions on varieties or schemes (quotients) On the character values of finite Chevalley groups at unipotent elements | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 a subscheme; polynomial algebra; minimal system of homogeneous generators Dario Portelli and Walter Spangher, On the equations which are needed to define a closed subscheme of the projective space, J. Pure Appl. Algebra 98 (1995), no. 1, 83 -- 93. Schemes and morphisms, Complete intersections, Projective techniques in algebraic geometry On the equations which are needed to define a closed subscheme of the projective space | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; equisingularity class; algebroid plane curve Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings Enriques diagram of a plane algebroid branch and the classification 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 coverings; linear series; morphism of degree 2 of smooth curves Del Centina, A. : '' Remarks on curves admitting an involution of genus \succcurleq 1 and some applications '', Boll. U.M.I. (6) 4-B(1985) 671-683. Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Divisors, linear systems, invertible sheaves Remarks on curves admitting an involution of genus \(>1\) and some applications | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system theta functions; bounded symmetric domains; imaginary quadratic number fields; rings of integers; lattices; modular forms K. Matsumoto: Algebraic relations among some theta functions on the bounded symmetric domain of type \(I_r,r\) , Kyushu J. Math. 60 (2006), 63--77. Other groups and their modular and automorphic forms (several variables), Theta series; Weil representation; theta correspondences, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Theta functions and abelian varieties, Algebraic numbers; rings of algebraic integers Algebraic relations among some theta functions on the bounded symmetric domain of type \(I_{r,r}\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system elliptic curves with complex multiplication; curves of genus 2; Jacobians; product surfaces; abelian variety; Humbert invariant; binary and ternary quadratic forms; idoneal numbers; mass formula Kani, E., Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms, J. Number Theory, 139, 138-174, (2014) Elliptic curves over global fields, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Forms of degree higher than two, Jacobians, Prym varieties Jacobians isomorphic to a product of two elliptic curves and ternary 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 category of Hodge structures; polylogarithm; motivic cohomology; absolute cohomology; regulators; cyclotomic elements Huber, A.; Wildeshaus, J., Correction to the paper: 'classical motivic polylogarithm according to Beilinson and deligne', Doc. Math., 3, 297-299, (1998) Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Cyclotomic extensions, Galois cohomology, Zeta functions and \(L\)-functions of number fields, Variation of Hodge structures (algebro-geometric aspects), (Co)homology theory in algebraic geometry Correction to the paper ``Classical motivic polylogarithm according to Beilinson and Deligne'' | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system inverse Galois problem; canonical form; linear automorphisms; monomial automorphisms; fields of rational functions; survey Hajja, M.: Linear and monomial automorphisms of fields of rational functions: some elementary issues, Algebra and number theory (2000) Inverse Galois theory, Research exposition (monographs, survey articles) pertaining to field theory, Transcendental field extensions, Actions of groups on commutative rings; invariant theory, Rationality questions in algebraic geometry Linear and monomial automorphisms of fields of rational functions: Some elementary issues | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system semi-ample divisor; linear system; Hilbert polynomial; Riemann-Roch inequalities T. Matsusaka, A note and a correction to Riemann-Roch type inequalities, Amer. J. Math. 106 (1984), no. 6, 1265-1268. Riemann-Roch theorems, Divisors, linear systems, invertible sheaves A note and a correction to Riemann-Roch type inequalities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Determinants; algebra; geometry; discussion of an equation of second degree; homogeneous coordinates; analytic criteria; plane sections of \(2^{\text{nd}}\) order surfaces; invariants of quadratic forms; plane curves of third order Determinants, permanents, traces, other special matrix functions, Equations in general fields, Plane and space curves, Rational and ruled surfaces, Quadratic and bilinear forms, inner products, Vector and tensor algebra, theory of invariants A new application of the determinants to 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 \(\ell\)-adic cohomology; perverse sheaves; decomposition theorem; independence of \(\ell\); perverse compatible system Étale and other Grothendieck topologies and (co)homologies, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry Independence of \(\ell\) for the supports in the decomposition 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 divisor of a rational normal scroll; minimal free resolution; arithmetically Cohen-Macaulay E. Park, On syzygies of divisors on rational normal scrolls, Math. Nachr. 287 (2014), no. 11-12, 1383--1393. Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings On syzygies of divisors on rational normal scrolls | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system containment problem; linear minimal free resolution; resurgence; symbolic power Ideals and multiplicative ideal theory in commutative rings, Configurations and arrangements of linear subspaces, Polynomial rings and ideals; rings of integer-valued polynomials, Projective techniques in algebraic geometry Fat point ideals in \(\mathbb{K}[\mathbb{P}^N]\) with linear minimal free resolutions and their resurgences | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system effective divisor class; almost excellent effective divisors; linear systems of plane curves B. Harbourne, Complete linear systems on rational surfaces, Trans. Amer. Math. Soc., 289 (1985), no. 1, 213--226.Zbl 0609.14004 MR 0779061 Divisors, linear systems, invertible sheaves, Riemann-Roch theorems, Rational and unirational varieties Complete linear systems on rational surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Pfaffian quadratic singularity; theta-divisor of the Prym variety; singularities with tangent cone; Mumford singularities V. Kanev,Quadratic singularities of the Pfaffian theta divisor of a Prym variety, Math. Notes of the Ac. of Sc. of the USSR,31 (1982), 301--305. Jacobians, Prym varieties, Singularities in algebraic geometry, Singularities of curves, local rings, Picard schemes, higher Jacobians Quadratic singularities of the Pfaffian theta divisor of a Prym 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 asymptotic invariants of linear series; Newton-Okounkov bodies; ampleness and nefness of line bundles; moving Seshadri constants; jet separation Küronya, A.; Lozovanu, V., Infinitesimal Newton-Okounkov bodies and jet separation, (2015) Divisors, linear systems, invertible sheaves, Kähler manifolds, Convex sets in \(n\) dimensions (including convex hypersurfaces) Infinitesimal Newton-Okounkov bodies and jet separation | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system subanalytic set; \(D\)-semianalytic set; affinoid variety; resolution of singularities Non-Archimedean analysis, Semi-analytic sets, subanalytic sets, and generalizations, Non-Archimedean valued fields, Quantifier elimination, model completeness, and related topics, Semialgebraic sets and related spaces, Injective and flat modules and ideals in commutative rings Rigid subanalytic 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 adjoint linear systems; line bundle; Fujita conjecture; variety of general type; invariance of plurigenera; Hodge theory Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Transcendental methods, Hodge theory (algebro-geometric aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Transcendental methods of algebraic geometry (complex-analytic aspects), Adjunction problems \(L^2\) methods and effective results in algebraic geometry. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear systems of forms; indeterminate Jacobian; Jacobian with irregular dimension Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry Linear systems of forms whose Jacobian has irregular dimension | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system asymptotic order of vanishing; ideal sheaf; level-\(n\) asympotic multiplier ideal; graded system of ideals; smooth complex variety; symbolic power of an ideal Ideals and multiplicative ideal theory in commutative rings, Integral closure of commutative rings and ideals, Structure, classification theorems for modules and ideals in commutative rings, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry A Briançon-Skoda type theorem for graded systems 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 sums of squares relaxations; multivariate Bernstein approximation; positive polynomial; semidefinite programming; Positivstellensatz; preordering; quadratic module Semidefinite programming, Nonlinear programming, Semialgebraic sets and related spaces Error bounds for polynomial optimization over the hypercube using Putinar type representations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Deligne-Lusztig varieties; finite groups of Lie type; Weyl groups; conjugacy classes; minimal length elements He, X., On the affineness of Deligne-Lusztig varieties, J. Algebra, 320, 3, 1207-1219, (2008) Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects), Linear algebraic groups over finite fields, Reflection and Coxeter groups (group-theoretic aspects) On the affineness of Deligne-Lusztig 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 jet spaces; prolongations of diffeomorphisms; foliated G-actions; Hessian matrices; affine and special affine transformations; recurrence relations; commutators of invariant differentials; classification of developable surfaces; homogeneous models Differential invariants (local theory), geometric objects, Local submanifolds, Affine differential geometry, Curves in Euclidean and related spaces, Surfaces in Euclidean and related spaces, Normal forms on manifolds, Computational methods for problems pertaining to differential geometry, Actions of groups and semigroups; invariant theory (associative rings and algebras), Group actions on affine varieties, Local Lie groups, Symmetries, invariants, etc. in context of PDEs On differential invariants of parabolic 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 resolution of curve singularities; positive characteristic; saturation Campillo, A.: Arithmetical aspects of saturation of singularities. Pol. Acad. Publ. 20, 121-137 (1988) Singularities of curves, local rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local rings and semilocal rings Arithmetical aspects of saturation 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 differential field; Picard-Vessiot extension; Galois theory of linear differential equations DOI: 10.2307/2374541 Abstract differential equations, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Algebraic relations among solutions of linear differential equations: Fano'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 Jacobian of Klein quartic; complex root system Bennama H., Application aux points de Weierstrass (1996) Jacobians, Prym varieties, Reflection and Coxeter groups (group-theoretic aspects) The root system \(J_ 3[4]\) and the Klein quartic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; \(d\)-gonal curve; rational normal scroll; scrollar invariants; bielliptic curves; Castelnuovo curves Del Centina A., Gimigliano A.: Scrollar invariants and resolutions of certain d-gonal curves. Ann. Univ. Ferrara Sez. VII Sc. Mat. XXXIX, 187--201 (1993) Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Elliptic curves Scrollar invariants and resolutions of certain \(d\)-gonal curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system infinitesimal Schur algebras; quantum Schur algebras; blocks; polynomial representations; Frobenius kernels; general linear groups; monoids of matrices; monoid schemes; rational representations Cox A.G.: On the blocks of the infinitesimal Schur algebras. Quart. J. Math 51, 39--56 (2000) Representation theory for linear algebraic groups, Representation of semigroups; actions of semigroups on sets, Group schemes, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups (quantized function algebras) and their representations On the blocks of the infinitesimal Schur 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 closed subgroups of linear algebraic reductive group Geometric invariant theory, Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups Orbits that always have affine stable neighbourhoods | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system poles of Igusa's local zeta function; resolution of singularities Veys, W.: On the poles of Igusa's local zeta function for curves. J. Lond. Math. Soc. 41, 27--32 (1990) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions On the poles of Igusa's local zeta function for curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic stacks; toroidal geometry; logarithmic schemes; birational geometry; resolution of singularities Generalizations (algebraic spaces, stacks), Rational and birational maps, Global theory and resolution of singularities (algebro-geometric aspects) Toroidal orbifolds, destackification, and Kummer blowings 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 algebroid varieties; transversality; resolution of singularities Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Transversality of varieties. A characterization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system semigroup of integral points; convex body; graded algebra; Hilbert function; Hodge index theory; mixed volume; Alexandrov-Fenchel inequality; Bernstein-Kushnirenko theorem; Cartier divisor; linear series Kaveh, K. and Khovanskii, A., Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, \textit{Ann. of Math. (2)}176 ( 2012), no. 2, 925- 978. Homogeneous spaces and generalizations, Toric varieties, Newton polyhedra, Okounkov bodies Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quantum special linear groups; quantum matrix bialgebras; rings of quantum coinvariants; quantum Grassmannians; presentations; quantum Schubert varieties; coactions R. Fioresi and C. Hacon, Quantum coinvariant theory for the quantum special linear group and quantum Schubert varieties. J. Algebra 242 (2001), 433-446. Quantum groups (quantized function algebras) and their representations, Geometric invariant theory, Grassmannians, Schubert varieties, flag manifolds, Actions of groups and semigroups; invariant theory (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations Quantum coinvariant theory for the quantum special linear group and quantum Schubert 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 hyperplane sections of surfaces; linear series; adjunction map Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Complete intersections, Special surfaces Curves and \(0\)-cycles on 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 elliptic curve; Galois representation; Kolyvagin's Euler system of Heegner points; modular curve William A. Stein, There are genus one curves over \Bbb Q of every odd index, J. Reine Angew. Math. 547 (2002), 139 -- 147. Elliptic curves over global fields, Rational points, Arithmetic ground fields for curves There are genus one curves over \({\mathbb Q}\) of every odd index | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Manin's conjecture; rational points; bounded height; tri-linear form; tri-projective space; circle method; asymptotic formula; geometry of numbers Mignot, T, Points de hauteur bornée sur LES hypersurfaces lisses de l'espace triprojectif, Int. J. Number Theory, 11, 945-995, (2015) Counting solutions of Diophantine equations, Rational points, Applications of the Hardy-Littlewood method, Diophantine equations in many variables Points of bounded height on smooth hypersurfaces of the triprojective 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 integral points on algebraic curves; rational point; Jacobian; linear form of logarithms; Mordell-Weil group; height Hirata-Kohno N. , Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la jacobienne , in: Advances in Number Theory , Kingston, ON, 1991 , Oxford University Press , New York , 1993 , pp. 421 - 433 . MR 1368438 | Zbl 0805.14009 Rational points, Arithmetic ground fields for abelian varieties, Linear forms in logarithms; Baker's method, Curves of arbitrary genus or genus \(\ne 1\) over global fields A relation between integral points on algebraic curves and rational points of the Jacobian | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system discriminantly separable polynomials; integrable quad-equations; pencils of conics; Möbius transformations; two-valued groups Dragović, V. and Kukić, K., Discriminantly Separable Polynomials and Quad-Graphs, arXiv:1303.6534v1 (26 Mar 2013). Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Projective techniques in algebraic geometry, Relationships between algebraic curves and integrable systems Quad-graphs and discriminantly separable polynomials of type \({\mathcal P}^2_3\) | 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 Convergent power series rings; Artin approximation theory; excellent rings; Weierstrass system of \(k\)-algebras Étale and flat extensions; Henselization; Artin approximation, Local deformation theory, Artin approximation, etc., Excellent rings About the Płoski-Popescu smoothing 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 singularities; equisingularity Orlando Villamayor U., On equiresolution and a question of Zariski, Acta Math. 185 (2000), no. 1, 123 -- 159. Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects) On equiresolution and a question of Zariski | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 algebraic groups; products of root elements; spinor groups Linear algebraic groups over arbitrary fields, Classical groups (algebro-geometric aspects), \(K_1\) of group rings and orders Whitehead groups of algebraic groups of classical type, and \(R\)-equivalence | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; valuation; ramification; affine geometry History of algebraic geometry, Biographies, obituaries, personalia, bibliographies, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Coverings in algebraic geometry, Jacobian problem The mathematical life of Shreeram Abhyankar | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system local Hilbert's 16th problem; Nash space of arcs; planar quadratic vector fields; essential perturbation Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Arcs and motivic integration, Bifurcation theory for ordinary differential equations Hilbert's 16th problem on a period annulus and Nash space of arcs | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system codimension 2 Buchsbaum variety; linear space sections; Castelnuovo type of vanishing theorem Giorgio Bolondi and Rosa M. Miró-Roig, Two-codimensional Buchsbaum subschemes of \?\(^{n}\) via their hyperplane sections, Comm. Algebra 17 (1989), no. 8, 1989 -- 2016. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems in algebraic geometry, Special algebraic curves and curves of low genus, Vanishing theorems in algebraic geometry Two-codimensional Buchsbaum subschemes of \(P^ n\) via their hyperplane sections | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjoint linear system; Fujita's conjecture; positive characteristic Divisors, linear systems, invertible sheaves, Rational and birational maps Counterexamples to Fujita's conjecture on surfaces in positive characteristic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system action of the general linear group on flags; action of the symplectic group; orbits Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over arbitrary fields Action on flag varieties: 2-dimensional case | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system automorphisms of algebraic curve; linear systems González, V.; Rodríguez, R.: On automorphisms of curves and linear series, Aportaciones mat. Notas investigación 5, 101-105 (1992) Automorphisms of curves, Curves in algebraic geometry, Divisors, linear systems, invertible sheaves On automorphisms of curves and 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 resolution of singularities; uniformization; desingularization; non-algebraically closed field V. Cossart, Uniformisation et désingularisation des surfaces d'apr` es Zariski, in Res- olution of singularities (Obergurgl, 1997), 239-258, Progr. Math., 181, Birkhäuser, Basel. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Other nonalgebraically closed ground fields in algebraic geometry Uniformization and desingularization of surfaces after Zariski | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system discriminant quadratic form; weakly distinguished basis; Milnor lattices of hypersurface singularities; Dynkin diagrams; elliptic hypersurface singularities; action of the braid group; bimodular singularities W. Ebeling, ''Milnor Lattices and Geometric Bases of Some Special Singularities,'' in Noeuds, tresses et singularit és, Ed. by C. Weber (Enseign. Math. Univ. Genève, Genève, 1983), Monogr. Enseign. Math. 31, pp. 129--146; Enseign. Math. 29, 263--280 (1983). Singularities in algebraic geometry, Group actions on varieties or schemes (quotients), Braid groups; Artin groups, Singularities of surfaces or higher-dimensional varieties, Local complex singularities, Complex singularities, Quadratic forms over global rings and fields Milnor lattices and geometric bases of some special 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 number of rational points; algebraic curves over finite fields; quadratic forms over finite fields Wolfmann J.: The number of points on certain algebraic curves over finite fields. Commun. Algebra \textbf{17}, 2055-2060 (1989). Rational points, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Curves over finite and local fields The number of points on certain algebraic curves over finite 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 etale Galois coverings; normalization; cohomology; Artin-Schreier coverings; Gorenstein scheme; minimal resolution of singularities Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies Etale Galois coverings of degree \(p\) of the affine 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 linear systems; embedding theorem; Cohen-Macaulay curves; pluricanonical maps of surfaces of general type Kollár, J.: Moduli of varieties of general type. In: Farkas, G., Morrison, I. (eds.) Handbook of Moduli: Volume II. Advanced Lectures in Mathematics, vol.~24, pp. 131-158. International Press (2012). arXiv:1008.0621 Embeddings in algebraic geometry, Surfaces of general type, Divisors, linear systems, invertible sheaves Embeddings of curves and 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 Castelnuovo surface fiber; semi-stable degenerations; resolution of singularities Ashikaga, T.; Konno, K., Examples of degenerations of Castelnuovo surfaces, J. Math. Soc. Japan, 43, 229-246, (1991) Surfaces of general type, Formal methods and deformations in algebraic geometry Examples of degenerations of Castelnuovo 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 quadratic form; function field of a quadratic form; \(u\)-invariant; quadratic forms with maximal splitting; torsion of Chow groups of quadrics; unramified cohomology of quadrics Izhboldin, O. T., Fields of \(u\)-invariant 9, Ann. of Math., 154, 529-587, (2001) Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Galois cohomology, (Equivariant) Chow groups and rings; motives, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Fields of \(u\)-invariant \(9\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 differential operator; real radical; polynomial system; algorithms Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Commutative rings and modules of finite generation or presentation; number of generators, Semialgebraic sets and related spaces, Polynomial rings and ideals; rings of integer-valued polynomials, Symbolic computation and algebraic computation Generators for the \(C^m\)-closures 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 Hilbert function; points in \(\mathbb{P}^3\); irreducible surface; number of generators of the ideal of distinct points; resolution of points; surfaces of low degree Guardo E., Parisi O.,Maximum number of generators of an ideal of points on an irreducible surface of lows degree, Le Matematiche,50 (1995), 137--162. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Linkage, complete intersections and determinantal ideals, Low codimension problems in algebraic geometry, Special surfaces Maximum number of generators of an ideal of points on an irreducible surface of low degree | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system affine varieties; plane curves; projective varieties; morphisms; resolution of singularities; Riemann-Roch theorem Fulton, William, Algebraic curves. {A}n introduction to algebraic geometry, (2008) Curves in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Varieties and morphisms, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Algebraic curves. An introduction to algebraic geometry. Notes written with collab. of R. Weiss. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system configurations of linear subspaces, differential algebra DOI: 10.2140/pjm.2001.198.501 Configurations and arrangements of linear subspaces, Derivations and commutative rings, Relations with arrangements of hyperplanes The module of derivations for an arrangement of 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 Frobenius structure; differential operator; free modules of finite rank over the ring of analytic elements in annulus; differential polynomial; generic radius of convergence; Frobenius antecedent Christol, G.; Dwork, B., Modules différentiels sur des couronnes, Ann. Inst. Fourier (Grenoble), 44, 3, 663-701, (1994), MR MR1303881 (96f:12008) \(p\)-adic differential equations, Modules of differentials, \(p\)-adic cohomology, crystalline cohomology Modules différentiels sur les couronnes (Differential modules over annuli) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Frobenius; singularities; F-purity; system of parameters Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Cohen-Macaulay modules, Complete intersections The variety defined by the matrix of diagonals is \(F\)-pure | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system complete intersection; periodicity of minimal free resolution; regular local ring; matrix factorization D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980), no. 1, 35-64. Homological methods in commutative ring theory, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Complete intersections, Regular local rings Homological algebra of a complete intersection, with an application to group representations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system determinantal conditions; resolution of ideal; linkage; residual intersection; Koszul complex; complete intersection Bruns, W.; Kustin, A. R.; Miller, M., The resolution of the generic residual intersection of a complete intersection, J. Algebra, 128, 214-239, (1990) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Complete intersections, Determinantal varieties The resolution of the generic residual intersection of a complete intersection | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Newton polyhedra; isolated complete intersection singularity; resolution of singularities; toroidal embeddings Morales, M., Polyèdre de Newton et genre géométrique d'une singularité intersection complète, Bull. Soc. Math. France, 112, 325-341, (1984) Local complex singularities, Singularities in algebraic geometry, Implicit function theorems; global Newton methods on manifolds Polyèdre de Newton et genre géométrique d'une singularité intersection complète | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system noetherian ring; height one prime ideal; resolution of singularities; rational singularities Ideals and multiplicative ideal theory in commutative rings, Singularities in algebraic geometry, Commutative Noetherian rings and modules, Local rings and semilocal rings On powers of prime ideals and rational 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 retract neighborhood; subspaces with singularities; semialgebraic neighborhood; Nash map; resolution of singularities Nash functions and manifolds, Absolute neighborhood retracts, Real algebraic sets Some remarks about the tubular neighbourhood of singular varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; toroidal variety; polyhedral Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Simplicial sets and complexes in algebraic topology Extending triangulations and semistable reduction. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system fundamental theorem of algebra; Puisseux series; linking number of knots; discrete mathematics; operads; resolution of curve singularities; complex singularities Research exposition (monographs, survey articles) pertaining to mathematics in general, General histories, source books, Popularization of mathematics, Mathematics in general, Development of contemporary mathematics, History of algebraic geometry, History of several complex variables and analytic spaces, History of manifolds and cell complexes, History of global analysis, History of mathematics in the 19th century, History of mathematics in the 20th century A singular mathematical promenade | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge Research exposition (monographs, survey articles) pertaining to algebraic geometry, Divisors, linear systems, invertible sheaves, Group actions on varieties or schemes (quotients), Toric varieties, Newton polyhedra, Okounkov bodies Cox rings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Morita equivalence; Picard group; biisomorphism classes R-bimodules; equivalence of categories; category of left R-modules; natural transformations; self-duality Kraemer, J.: (Self)-duality and the Picard group. Comm. alg. 16, 2283-2311 (1988) Module categories in associative algebras, Picard groups (Self-)duality and the Picard group | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 space curves; adjoint ideals; effective divisor; normalization; linear system Chiarli, N.: Completeness and non-speciality of linear series on space curves and deficiency of the corresponding linear series on normalization. Queen's papers in pure and applied mathematics 67 (1984) Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus Completeness and non-speciality of linear series on space curves and deficiency of the corresponding linear series on normalization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system monad of a curve; resolution of the normalized coordinate ring; degree; low genus; smoothing Walter, CH, Curves in \(\mathbb{P}^r\) with the expected monad, J. Algebr. Geom., 4, 301-320, (1995) Plane and space curves, Special algebraic curves and curves of low genus, Vector bundles on curves and their moduli Curves in \(\mathbb{P}^ 3\) with the expected monad | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system irregularity; divisor; cyclic coverings; resolution of singularity; vanishing of first cohomology Vaquié, Michel, Irrégularité des revêtements cycliques des surfaces projectives non singulières, Amer. J. math., 114, 6, 1187-1199, (1992), MR 1198299 (94d:14015) Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry Irregularity of cyclic coverings of nonsingular 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 curve on a \(K3\) surface; curves of high genus; Brill-Noether-Petri condition; linear series; surjectivity of the Wahl map Voisin, C. : '' Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri '', Acta Math. 168 (1992) 249-272. Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Curves in algebraic geometry On the Wahl map of curves with Brill-Noether-Petri condition | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system concept of mapping; A. F. Möbius; F. Klein; geometric transformations; collineation; L. Euler Struve, H. (1985). Zur Geschichte des Abbildungsbegriffs. Mathematische Semesterberichte 32, 181--194. History of mathematics in the 19th century, History of algebraic geometry, History of group theory Zur Geschichte des Abbildungsbegriffs. (On the history of the concept of mapping) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system dimension types; indecomposables of arbitrary quivers; finite representation type; extended Dynkin diagram; indecomposable representations; positive roots; Tits form; tame; Kac's theorem; affine varieties; orbits; simple roots; reflections; Dynkin quiver; root system H. Kraft and Ch. Riedtmann, Geometry of representations of quivers, Representations of algebras (Durham, 1985) London Math. Soc. Lecture Note Ser., vol. 116, Cambridge Univ. Press, Cambridge, 1986, pp. 109 -- 145. Representation theory of associative rings and algebras, Finite rings and finite-dimensional associative algebras, Simple, semisimple, reductive (super)algebras, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Group actions on varieties or schemes (quotients), Vector and tensor algebra, theory of invariants Geometry of representations of quivers | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 function fields; constructions of linear codes; algebraic curves; algebraic-geometric codes; Goppa codes Ferruh Özbudak and Henning Stichtenoth, Constructing codes from algebraic curves, IEEE Trans. Inform. Theory 45 (1999), no. 7, 2502 -- 2505. Geometric methods (including applications of algebraic geometry) applied to coding theory, Linear codes (general theory), Arithmetic theory of algebraic function fields, Applications to coding theory and cryptography of arithmetic geometry Constructing codes from 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 Goppa codes; divisors of curves; Riemann-Roch theorem; linear codes Michon, J. F.: Codes de goppa. Sem. th. Nombres Bordeaux 7 (1983--1984) Linear codes (general theory), Algebraic functions and function fields in algebraic geometry, Divisors, linear systems, invertible sheaves Codes de Goppa | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fourier transformations; majoration of exponential sums Katz, N. M.; Laumon, G., Transformation de Fourier et majoration de sommes exponentielles, Inst. Hautes Études Sci. Publ. Math., Inst. Hautes Études Sci. Publ. Math., 69, 233-418, (1989), (in French); see also Erratum: ''The Fourier transform and upper bounds for exponential sums'' \(p\)-adic cohomology, crystalline cohomology, Local ground fields in algebraic geometry, Other transforms and operators of Fourier type Corrections à: ``Transformation de Fourier et majoration de sommes exponentielles''. (Corrections to: ``Fourier transformation and majorization of exponential sums'') | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 lattice of linear subspaces; intrinsic volume; extremal combinatorics; Grassmannian; invariant measure; analogue of Sperner's theorem [4] Klain D. A., Rota G.-C., ''A continuous analogue of Sperner's theorem'', Comm. Pure Appl. Math., 50 (1997), 205--223 Extremal set theory, Factorials, binomial coefficients, combinatorial functions, Basic linear algebra, Grassmannians, Schubert varieties, flag manifolds A continuous analogue of Sperner'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 Picard group; Picard number; real algebraic surface; homology; algebraic cycles; resolution of singularities Frédéric Mangolte, Une surface réelle de degré 5 dont l'homologie est entièrement engendrée par des cycles algébriques, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 4, 343 -- 346 (French, with English and French summaries). Singularities of surfaces or higher-dimensional varieties, Real algebraic sets, Classical real and complex (co)homology in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) A real algebraic surface of degree 5 whose homology is entirely generated by algebraic cycles. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; alterations Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Dominant classes of projective varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system smooth Hasse principle; weak approximation; intersections of two quadrics; quadratic forms Salberger ( P. ) . - On the arithmetic of certain intersections of two quadrics , J. für die reine und angew. Math. ( Crelle ) 394 ( 1989 ), pp. 159 - 167 . Article | MR 977438 | Zbl 0672.14027 Complete intersections, Quadratic forms over global rings and fields, Projective techniques in algebraic geometry, \(3\)-folds On the arithmetic of certain intersections of two 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 Gieseker's lemma; linear system Divisors, linear systems, invertible sheaves, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli, classification: algebraic theory A generalization of Gieseker's lemma | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system regular system of weights; simple Lie algebras; elliptic Lie algebras; homotopy category of matrix factorizations; vanishing cycles; \(*\)-duality Saito, K.: Towards a categorical construction of Lie algebras, Adv. stud. Pure math. 50, 101-175 (2008) Categories in geometry and topology, Lie algebras and Lie superalgebras, Singularities of surfaces or higher-dimensional varieties, Homology and cohomology theories in algebraic topology, Simple, semisimple, reductive (super)algebras, Calabi-Yau manifolds (algebro-geometric aspects) Towards a categorical construction on 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 \(K3\) surfaces; variation of curves; Hitchin system; Mukai system; tangent bundle; stability \(K3\) surfaces and Enriques surfaces, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry Maximal variation of curves on \(K3\) surfaces | 0 |
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