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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 glueing polynomials; Newton polyhedron; equisingular locus; plane curves; maximal number of cusps; critical points E. Shustin, Gluing of singular and critical points. \textit{Topology}\textbf{37} (1998), 195-217. MR1480886 Zbl 0905.14008 Global theory and resolution of singularities (algebro-geometric aspects), Equisingularity (topological and analytic), Topological properties in algebraic geometry, Singularities in algebraic geometry, Singularities of curves, local rings Gluing of singular and critical 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 \(d\)-dimensional linear systems of quadrics L. Degoli: Trois nouveaux théorèmes sur les systèmes linéaires de quadriques à Jacobienne identiquement nulle. Demonstratio Mathematica, Warszawa, Vol. 16) Projective techniques in algebraic geometry, Projective analytic geometry, Divisors, linear systems, invertible sheaves Trois nouveaux théorèmes sur les systèmes linéaires de quadriques à Jacobienne identiquement nulle | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system supersingular Fermat submotive; Fermat variety; Artin-Tate-Milne formulas; torsion of the Brauer group; Tate conjecture; cycle map; algebraic cycles; Néron-Severi groups Generalizations (algebraic spaces, stacks), Algebraic cycles, Finite ground fields in algebraic geometry Fermat motives and the Artin-Tate formula. 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 Hodge structures for singular varieties; variation of Hodge structure; nilpotent orbit theorem; limiting mixed Hodge structure; several variables \(SL_ 2\)-orbit theorem; nonlinear system of differential equations E. Cattani, A. Kaplan and W. Schmid. Degeneration of Hodge structures. \textit{Ann. Math}, (2)123 (1986), 457-535 Transcendental methods, Hodge theory (algebro-geometric aspects), Singularities in algebraic geometry Degeneration of Hodge structures | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 fields; algebraic curves; Riemann-Roch theorem; number of rational points of an algebraic curves over a finite field; Riemann hypothesis; Hasse-Weil bound; asymptotic problems; zeta-functions and linear systems; a characterization of the Suzuki curve; maximal curves; Hermitian curve; Weierstrass points Torres F.: Algebraic curves with many points over finite fields. In: Martínez-Moro, E., Munuera, C., Ruano, D. (eds) Advances in Algebraic Geometry Codes, pp. 221--256. World Scientific Publishing Company, Singapore (2008) Local ground fields in algebraic geometry, Complex multiplication and moduli of abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Research exposition (monographs, survey articles) pertaining to number theory Algebraic curves with many points 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 3-fold; very ample divisor; linear system; singularities Singularities of curves, local rings, Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties Curves with nilpotents and surface singularities of type \(A_ n\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system local cohomology modules defined by a pair of ideals; system of ideals; depth of a pair of ideals; \((I, J)\)-Cohen-Macaulay modules Local cohomology and commutative rings, Commutative Noetherian rings and modules, Local cohomology and algebraic geometry The concept of \((I, J)\)-Cohen Macaulay modules | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polynomial invariants of linear groups; reductive groups; Cartan subgroups; weight multiplicity; irreducible modules; Gosset polytopes R. Howe, Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond, in \textit{The Schur Lectures} (1992) (\textit{Tel Aviv}), Israel Mathematical Conference Proceedings, Vol. 8 (Bar-Ilan University, Ramat Gan, 1995), pp. 1-182. Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory, Exterior algebra, Grassmann algebras, Clifford algebras, spinors, Multilinear algebra, tensor calculus, Vector and tensor algebra, theory of invariants, Geometric invariant theory Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system operator Riccati equation; infinite dimensional Grassmannians; stabilizability of linear control systems Algebraic methods, Grassmannians, Schubert varieties, flag manifolds, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Nonlinear differential equations in abstract spaces, Equations involving linear operators, with operator unknowns, Applications of dynamical systems, Linear systems in control theory, Stabilization of systems by feedback On the symplectic structure of the operator Riccati equation | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasi-homogeneous Gorenstein surface singularities; equality of the Milnor and Tyurina numbers; isolated complete intersection surface singularities; irregularity; equisingular deformations J. M. Wahl, A characterization of quasihomogeneous Gorenstein surface singularities, Compos. Math., 55 (1985), 269--288. MR799816 (87e:32013) Singularities of surfaces or higher-dimensional varieties, Modifications; resolution of singularities (complex-analytic aspects), Complete intersections, Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities in algebraic geometry A characterization of quasi-homogeneous Gorenstein surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Lang conjecture; meet of algebraic subvariety and linear torus; linear form with algebraic coefficients; generalization of Thue-Siegel-Roth theorem; exponential diophantine equation; commutative algebraic group; finite union of subsets Laurent, M.: Exponential Diophantine equations. C. R. Acad. sci. Paris, ser. I 296, 945-947 (1983) Exponential Diophantine equations, Approximation to algebraic numbers, Global ground fields in algebraic geometry, Other algebraic groups (geometric aspects) Équations diophantiennes exponentielles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Bruhat-Chevalley orders; Bruhat-Renner decompositions; Cohen-Macaulay rings; conjugacy classes; finite groups of Lie type; finite monoids of Lie type; Gorenstein rings; Hecke algebras; Kazhdan-Lusztig polynomials; linear algebraic monoids; reductive groups; reductive monoids; Putcha lattices of cross-sections; Renner monoids; representation theory; shellability; Stanley-Reisner rings; Weyl groups Semigroups of transformations, relations, partitions, etc., Hecke algebras and their representations, Linear algebraic groups over arbitrary fields, Combinatorics of partially ordered sets, Group actions on varieties or schemes (quotients), Representation of semigroups; actions of semigroups on sets, Representations of finite groups of Lie type Bruhat-Renner decomposition and Hecke algebras of reductive monoids. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 the K-theory sheaf; Quillen-type of spectral sequence; intersection theory Charles A. Weibel, A Quillen-type spectral sequence for the \?-theory of varieties with isolated singularities, \?-Theory 3 (1989), no. 3, 261 -- 270. Applications of methods of algebraic \(K\)-theory in algebraic geometry, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Singularities in algebraic geometry, \(K\)-theory of schemes A Quillen-type spectral sequence for the K-theory of varieties with isolated 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 octic arrangements; Calabi-Yau resolution; topological Euler number; small resolution of double solid; isolated singularities S. Cynk, Double coverings of octic arrangements with isolated singularities , Adv. Theor. Math. Phys. 3 (1999), 217-225. Calabi-Yau manifolds (algebro-geometric aspects), Coverings in algebraic geometry, Topological properties in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Double coverings of octic arrangements with isolated singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system complex multiplication; elliptic curves; Hecke characters of imaginary quadratic fields Arithmetic ground fields for curves, Complex multiplication and abelian varieties, Quadratic extensions, Elliptic curves, Special algebraic curves and curves of low genus Une classe de courbes elliptiques à multiplication complexe | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 surface; embedded resolution of singularities Y. Kawamata, Index one covers of log terminal surface singularities, J. Alg. Geom. 8 (1999), 519--527. Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Coverings in algebraic geometry Index 1 covers of log terminal surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Gauss Manin system; Hodge filtration of the mixed Hodge structure; vanishing cohomology of an isolated singularity Transcendental methods, Hodge theory (algebro-geometric aspects), Local complex singularities, Singularities in algebraic geometry, Transcendental methods of algebraic geometry (complex-analytic aspects) Systèmes de Gauss-Manin et structure de Hodge mixte sur la cohomologie évanescente | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; Drinfeld's compactification; stable maps Geometric Langlands program: representation-theoretic aspects, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic) A resolution of singularities for Drinfeld's compactification by stable 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 Langlands correspondence; \(p\)-adic Langlands program; \(p\)-adic Galois representations; locally analytic \(p\)-adic representations of \(p\)-adic general linear groups Galois representations, Representations of Lie and linear algebraic groups over local fields, Langlands-Weil conjectures, nonabelian class field theory, Geometric Langlands program (algebro-geometric aspects) Locally analytic \(\mathrm{Ext}^1\) and local-global compatibility | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 curves; rational points; genus; linear codes; asymptotics; tower of curves Arnaldo Garcia, On curves over finite fields, Arithmetic, geometry and coding theory (AGCT 2003), Sémin. Congr., vol. 11, Soc. Math. France, Paris, 2005, pp. 75 -- 110 (English, with English and French summaries). Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Rational points On 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 Maple system; decomposing affine algebraic varieties of low degree; Gröbner bases Wang, D. M., Irreducible decomposition of algebraic varieties via characteristic set and Gröbner bases, Computer Aided Geometric Design, 9, 471-484, (1992) Computational aspects of algebraic surfaces Irreducible decomposition of algebraic varieties via characteristic sets and Gröbner bases | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 Plücker formulas; curvature and metric vectors; holomorphic curves Positsel'skii, L.E.: Sov. J. Funct. Anal. and Appl.25, No. 4, 291 (1991) Semisimple Lie groups and their representations, Curves in algebraic geometry, Local Riemannian geometry Local Plücker formulas for a semisimple Lie 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 quadratic surfaces; polynomial equations; numerical methods; Schubert's problems; Schubert calculus; cohomology ring of flag varieties; Schubert triangle Classical problems, Schubert calculus, Enumerative problems (combinatorial problems) in algebraic geometry, Iterative numerical methods for linear systems, Combinatorial aspects of commutative algebra Tangent quadrics in real 3-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 monoids; associative multiplications; connected linear algebraic semigroups; linear algebraic groups; group of units; regular semigroups Putcha, M. S., \textit{Linear Algebraic Monoids}, Vol. 133 of \textit{London Mathematical Society Lecture Note Series}, (1988), Cambridge University Press, Cambridge Semigroups of transformations, relations, partitions, etc., Research exposition (monographs, survey articles) pertaining to group theory, Linear algebraic groups over arbitrary fields, General structure theory for semigroups, Affine algebraic groups, hyperalgebra constructions Linear algebraic monoids | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system cubic differential system; configuration of invariant straight lines; multiplicity of an invariant straight line; group action; affine invariant polynomial Guangjian, S., Jifang, S.: The n-degree differential system with \((n-1)(n+1)/2\) straight line solutions has no limit cycles. In: Proc. of Ordinary Differential Equations and Control Theory, Wuhan, pp. 216-220 (1987) \textbf{(in Chinese)} 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 One new class of cubic systems with maximum number of invariant lines omitted in the classification of J. Llibre and N. Vulpe | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system log canonical threshold; multiplier ideals; ultrafilter; resolution of singularities; ACC Conjecture de Fernex, Tommaso; Mustaţă, Mircea, Limits of log canonical thresholds, Ann. Sci. Éc. Norm. Supér. (4), 42, 3, 491-515, (2009) Singularities in algebraic geometry, Minimal model program (Mori theory, extremal rays) Limits of log canonical thresholds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system birational map; Fano variety; terminal singularity; divisor; linear system Прохоров, Ю. Г., O трехмерных, Изв. РАН. Сер. матем., 79, 4, 159-174, (2015) Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Fano varieties, \(3\)-folds On \(G\)-Fano threefolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system representations of quivers; semi-invariants; Littlewood-Richardson rule; Klyachko cones; saturation; general linear groups; orbits; weight spaces; dimension vectors Derksen, H.; Weyman, J., Semi-invariants of quivers and saturation for Littlewood-\textit{Richardson coefficients, J. Amer. Math. Soc., 13, 467-479, (2000)} Representations of quivers and partially ordered sets, Actions of groups on commutative rings; invariant theory, Geometric invariant theory, Vector and tensor algebra, theory of invariants, Representation theory for linear algebraic groups, Symmetric functions and generalizations, Group actions on varieties or schemes (quotients), Trace rings and invariant theory (associative rings and algebras) Semi-invariants of quivers and saturation for Littlewood-Richardson 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 swallowtail; signature of quadratic form Bobowik, J.; Szafraniec, Z.: Counting signed swallowtails of polynomial selfmaps of R3. Manuscr. math. 151, 209-221 (2016) Singularities in algebraic geometry, Local complex singularities, Critical points of functions and mappings on manifolds Counting signed swallowtails of polynomial selfmaps of \(\mathbb R^3\) | 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 McKay correspondance; cyclic two dimensional quotient singularity; Chern- classes of the vector bundles; resolution; reflexive module J. Wunram, Reflexive modules on cyclic quotient surface singularities, in \(Singularities, Representation of Algebras, and Vector Bundles\) (Springer, Berlin, 1987), pp. 221-231 Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Other special types of modules and ideals in commutative rings, Singularities of surfaces or higher-dimensional varieties, Group actions on varieties or schemes (quotients) Reflexive modules on cyclic quotient surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system real places; real spectrum of coordinate ring; Harrison topology; real holomorphy ring; Kadison-Dubois theorem; strongly anisotropic forms; semiordering of level n; Krull valuations; Witt ring; formally real fields; orderings; Witt class of quadratic forms; signature Becker, E.: Valuations and real places in the theory of formally real fields, in [10] Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms over real fields, Algebraic theory of quadratic forms; Witt groups and rings, Valued fields, Real algebraic sets Valuations and real places in the theory of formally real 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 Cohen-Macaulay property; bouquet of spheres; spherical; reduced homology; fibre space; Tits building; split building; connected reductive linear algebraic group; locally finite posets [LR] G. I. Lehrer and L. J. Rylands,The split building of a reductive group, Mathematische Annalen296 (1993), 607--624. Linear algebraic groups over arbitrary fields, Groups with a \(BN\)-pair; buildings, Classical groups (algebro-geometric aspects), Algebraic aspects of posets The split building of a reductive 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 linear equivalence of Tango bundles on projective 4-space; bivectors; Veronese surface; Chern class Linear equivalence of Tango bundles on \({\mathbb{P}}^ 4\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system little discs operads; Hochschild cohomology; algebras of observables; quantum mechanics; deformation quantization; gauge transformations; gauge equivalence class; star products; Poisson manifold; graded Lie superalgebra; Feynman diagrams; Grothendieck-Teichmüller group; operads; algebras over operads; formality theorem; motivic Galois group; higher-dimensional algebras; motives; quantum field theories Maxim Kontsevich, ``Operads and motives in deformation quantization'', Lett. Math. Phys.48 (1999) no. 1, p. 35-72 Deformations of associative rings, Loop spaces, de Rham cohomology and algebraic geometry, Classical real and complex (co)homology in algebraic geometry, Supermanifolds and graded manifolds, Quantum field theory; related classical field theories, Loop space machines and operads in algebraic topology Operads and motives in deformation quantization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system double-point divisor; Roth variety; Castelnuovo variety; secant variety; conductor; projection; linear system Ilic B.: Geometric properties of the double-point divisor. Trans. Am. Math. Soc. 350, 1643--1661 (1998) Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Geometric properties of the double-point divisor | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear systems of quadrics; trisecant lines Projective techniques in algebraic geometry, Special surfaces, Divisors, linear systems, invertible sheaves Alcune osservazioni sui sistemi lineari di quadriche dello spazio ordinario ed un nuovo esempio di superficie algebrica di \({\mathbb{P}}^ 5\) dotata di \(\infty ^ 3\) trisecanti. (Some observations on linear systems of quadrics in ordinary space and a new example of an algebraic surface of \({\mathbb{P}}^ 5\) endowed with \(\infty ^ 3\) trisecants) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 curve; linear system; nonspecial line bundle; secant plane; syzygy; Green-Lazarfeld conjecture Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory), Embeddings in algebraic geometry, Syzygies, resolutions, complexes in associative algebras Secant planes of projective curves embedded by nonspecial line bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polarized normal varieties; ample Cartier divisor; Riemann-Roch; linear system Matsusaka, T., On polarized normal varieties, I., Nagoya Math. J., 104, 175-211, (1986) Algebraic moduli of abelian varieties, classification On polarized normal varieties. 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 Cremona group; Cremona transformation; positive characteristic; elements of finite order I. V. Dolgachev, V. A. Iskovskikh, \textit{On elements of prime order in the plane Cremona group over a perfect field}, Int. Math. Res. Not. IMRN \textbf{18} (2009), 3467-3485. Birational automorphisms, Cremona group and generalizations, Rational and birational maps On elements of prime order in the plane Cremona group over a perfect field | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system real quadratic factors of polynomials; multiple quadratic factors Polynomials in real and complex fields: factorization, Elementary questions in algebraic geometry, Real polynomials: location of zeros, Polynomials in real and complex fields: location of zeros (algebraic theorems) On the number of real quadratic factors of 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 zero-dimensional schemes; Hilbert difference functions; quadric; linear systems of surfaces Raciti, G.: Hilbert function and geometric properties for a closed O-dimensional subscheme of a quadric Q \subsetp3. Comm. algebra 18, No. 9, 3041-3053 (1990) Parametrization (Chow and Hilbert schemes), Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, Schemes and morphisms Hilbert function and geometric properties for a closed zero-dimensional subscheme of a quadric \(Q\subset {\mathbb{P}}^ 3\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic form; function field of a quadric; unramified Witt group; Galois cohomology; stable birational equivalence B. Kahn and A. Laghribi, A second descent problem for quadratic forms, K-Theory 29 (2003), 253--284. Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Galois cohomology, Motivic cohomology; motivic homotopy theory A second descent problem for 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 Putinar's Positivstellensatz; sums of squares; quadratic module; degree bounds Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebra, Semialgebraic sets and related spaces A version of Putinar's Positivstellensatz for cylinders | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; characteristic p; infinitely very near point Tadao Oda, Infinitely very near singular points, Complex analytic singularities, Adv. Stud. Pure Math., vol. 8, North-Holland, Amsterdam, 1987, pp. 363 -- 404. Global theory and resolution of singularities (algebro-geometric aspects), Infinitesimal methods in algebraic geometry, Singularities in algebraic geometry Infinitely very near singular 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 subvarieties of linear tori; heights Habegger, P., Intersecting subvarieties of \({\mathbf G}^n_m\) with algebraic subgroups, Math. Ann., 0025-5831, 342, 2, 449-466, (2008) Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Heights Intersecting subvarieties of \({G_m^n}\) with algebraic subgroups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system rational quadratic polynomial; polynomial iteration; discrete dynamical system; periodic points Arithmetic properties of periodic points, Polynomials in number theory, Special polynomials in general fields, Polynomials, Rational points Some results on the Flynn-Poonen-Schaefer 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 tight closure; global generation of adjoint linear series Karen E. Smith, An introduction to tight closure, Geometric and combinatorial aspects of commutative algebra (Messina, 1999) Lecture Notes in Pure and Appl. Math., vol. 217, Dekker, New York, 2001, pp. 353 -- 377. Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Integral closure of commutative rings and ideals, Finite ground fields in algebraic geometry An introduction to tight closure | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system symbolic power; test ideal; graded system of ideals; tight closure; multiplier ideals Takagi, S; Yoshida, K, Generalized test ideals and symbolic powers, Michigan Math. J., 57, 711-724, (2008) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Regular local rings, Singularities in algebraic geometry Generalized test ideals and symbolic powers | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system trace formulas; Lax pairs; constants of motion Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Riemann surfaces; Weierstrass points; gap sequences, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Generalizations of the Neumann system -- A curve theoretical approach. III: Order \(n\) 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 stringy Hodge numbers; E-polynomial; mixed Hodge structure; resolution of singularities Transcendental methods, Hodge theory (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Mixed Hodge theory of singular varieties (complex-analytic aspects) On the nonnegativity of stringy Hodge 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 representation of the symmetric group; Pieri rule; Gromov-Witten invariants; Schubert polynomials; cohomology ring of the flag manifold; divided difference operators; quadratic associative algebra; Dunkl operators; Schubert calculus; quantum cohomology Fomin, Sergey; Kirillov, Anatol N., Quadratic algebras, Dunkl elements, and Schubert calculus. Advances in geometry, Progr. Math. 172, 147-182, (1999), Birkhäuser Boston, Boston, MA Grassmannians, Schubert varieties, flag manifolds Quadratic algebras, Dunkl elements, and Schubert calculus | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear algebraic groups; Cayley groups; stably Cayley groups; character lattices; quasi-permutation lattices; Weil restriction of scalars Borovoi, M.; Kunyavskiĭ, B.: Stably Cayley semisimple groups, Doc. math. Extra volume: Alexander S. Merkurjev's sixtieth birthday (2015) Linear algebraic groups over arbitrary fields, Classical groups (algebro-geometric aspects), Rational and birational maps Stably Cayley semisimple 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 music theory; performance theory; linear representations of quivers; multilinear control systems General applied mathematics, Fibrations, degenerations in algebraic geometry, Categories of machines, automata, Permutation groups, Applied homological algebra and category theory in algebraic topology, Memory and learning in psychology Algebraic varieties of musical performances | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system multilinear operators; oscillatory integrals; resolution of singularities; Newton polyhedra Xiao, L., Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities, Rev. mat. iberoam., 33, 1, 67-116, (2017) Singular and oscillatory integrals (Calderón-Zygmund, etc.), Global theory and resolution of singularities (algebro-geometric aspects) Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system; degeneration Ciro Ciliberto and Rick Miranda, Matching conditions for degenerating plane curves and applications, Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 177 -- 197. Divisors, linear systems, invertible sheaves Matching conditions for degenerating plane curves and applications | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Frobenius (theorem); (foliated) (log) canonical singularities; algorithmic resolution; graphic neighbourhood; ample (vector) bundle; Frobenius (map); bend and break; P-adic; rationally connected; cone of curves F. Bogomolov and M. McQuillan, Rational curves on foliated varieties, preprint (2001), . Rationally connected varieties, Rational and birational maps, Singularities of holomorphic vector fields and foliations Rational curves on foliated 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 computer algebra; algebraic curve parametrization; factorization; solution of polynomial equations; constructive algebraic geometry; gcd computation; decomposition; linear systems; Hankel systems; Gröbner bases; polynomial algorithms; elementary theory of real closed fields; Gosper's algorithm; summation problems; algebraic curve; complexity Winkler, F., \textit{Polynomial Algorithms in Computer Algebra}, (1996), Springer, Vienna, Austria Symbolic computation and algebraic computation, Discrete mathematics in relation to computer science, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of algebraic curves, Number-theoretic algorithms; complexity Polynomial algorithms in computer 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 isolated hypersurface singularity; resolution of a singularity; multiplicity of a singularity; maximal divisor; canonical divisor -, The multiplicity of isolated two-dimensional hypersurface singularities , Trans. Amer. Math. Soc. 302 (1987), 489-496. Complex singularities, Modifications; resolution of singularities (complex-analytic aspects), Singularities in algebraic geometry, Local complex singularities The multiplicity of isolated two-dimensional hypersurface 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 multilinear functions; symmetric product of multilinear functions; linear factor; inner product space; projective algebraic variety Multilinear algebra, tensor calculus, Exterior algebra, Grassmann algebras, Real and complex fields, Varieties and morphisms Algebraic varieties of multilinear 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 Jacobians; linear systems on curves; rank of the Néron-Severi group Picard groups, Divisors, linear systems, invertible sheaves, Jacobians, Prym varieties On the Néron-Severi groups of the surface of special divisors | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; alterations; tame distillation; valued fields; valuations Temkin, M., Tame distillation and desingularization by \textit{p}-alterations, Ann. of Math. (2), 186, 1, 97-126, (2017) Global theory and resolution of singularities (algebro-geometric aspects), Ramification problems in algebraic geometry, Group actions on varieties or schemes (quotients), Valued fields, Valuations and their generalizations for commutative rings Tame distillation and desingularization by \(p\)-alterations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system configuration of branches of an algebraic curve; Harnack theorem; number of limit cycles for a polynomial planar system; Hilbert's 16th problem Enumerative problems (combinatorial problems) in algebraic geometry, Special algebraic curves and curves of low genus, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations Hilbert's sixteenth problem and its generalization | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system third order curves; plane curves; homogeneous functions; projectivity; involution; projective properties of conics; pencil of conics; polar properties; Steiner system; Hesse' curve; pencil of third order curves; Cayley' curve; cubic involution; Steiner's polygon; elliptic functions General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic geometry, Plane and space curves, Elliptic functions and integrals Third order plane curves. A summary of its known properties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; idealistic exponents; characteristic polyhedra; Newton polyhedra; resolution of singularities Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Idealistic exponents: tangent cone, ridge, characteristic polyhedra | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system coherent system; moduli space; Hitchin map; first fundamental theorem of invariant theory Jacobians, Prym varieties, Algebraic moduli problems, moduli of vector bundles, Actions of groups on commutative rings; invariant theory Notes on coherent 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 complex reductive algebraic group; ring of polynomial functions; ring of \(G\)-invariant elements; fibers; connected semisimple group; algebra of invariants; equidimensional representations of tori; weights Wehlau, D.: A proof of the Popov conjecture for tori. Proc. Am. Math. Soc. \textbf{114}(3), 839-845 (1992) Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Vector and tensor algebra, theory of invariants, Semisimple Lie groups and their representations A proof of the Popov conjecture for tori | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 valuations; resolution of singularities; continued fractions Valuation rings, Global theory and resolution of singularities (algebro-geometric aspects), Valuations, completions, formal power series and related constructions (associative rings and algebras) Monomial valuations, cusp singularities, and continued fractions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 equivalence of topologies; hypersurface; Noetherian ring; ideal topology Swanson, I., Linear equivalence of ideal topologies, Math. Z., 234, 755-775, (2000) Global topological rings, Singularities of surfaces or higher-dimensional varieties, Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) Linear equivalence of ideal topologies | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system minimal free resolution; linear section Park, On syzygies of linear sections, Proc. Amer. Math. Soc. Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings On syzygies of linear 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 resolution of set of points; prescribed deviation Global theory and resolution of singularities (algebro-geometric aspects), Relevant commutative algebra, Étale and other Grothendieck topologies and (co)homologies, Projective techniques in algebraic geometry On the minimal free resolution of finite sets in \(\mathbb{P}^ N\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system integration over algebraic variety; Euler characteristic; multiplicity of a point; Plücker formula O. Ya. Viro, ''Some Integral Calculus Based on Euler Characteristic,'' in Topology and Geometry: Rohlin Seminar (Springer, Berlin, 1988), Lect. Notes Math. 1346, pp. 127--138. Topological properties in algebraic geometry, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, Integration on manifolds; measures on manifolds Some integral calculus based on Euler 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 blow up; projective space; Grassmannian; linear system; exceptional divisors Flavio Angelini, Ample divisors on the blow up of \(\mathbf P^ 3\) at points , Manuscripta Math. 93 (1997), no. 1, 39-48. Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Ample divisors on the blow up of \(\mathbb{P}^3\) at 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 omega-system of cubic forms; point correspondences Yu. V. Pavlyuchenko and V. V. Ryzhkov, ''On the theory of deformation of point correspondences. {\(\omega\)}-Systems in the four-dimensional case,''Diff. Geom. Obobshch. Prostr., Pril.: Mezhvuz. Nauchn. Sb., 50--60 (1988). Projective analytic geometry, Rational and birational maps On the theory of deformation of point correspondences. \(\omega\)-systems in the four-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 Grassmann varieties; quadratic Plücker relations Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds On the computation of a reduced set of quadratic Plücker relations describing the Grassmann 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 problems of effectivity; Linnik theorem; Mordell conjecture; density theorem for representations of relative Weil groups; Hecke density theorem; Shafarevich-Tate conjectures; generation of Galois groups by Frobenius elements; distribution of Frobenius conjugacy classes; uniform distribution of Grössencharakters; Chebotarev density theorem; automorphic representations of GL(n); strong multiplicity one theorem; compatible systems of \(\ell\)-adic representations; ramification Density theorems, Arithmetic ground fields for abelian varieties, Representation-theoretic methods; automorphic representations over local and global fields, Primes in congruence classes, Algebraic moduli of abelian varieties, classification, Arithmetic problems in algebraic geometry; Diophantine geometry, Higher degree equations; Fermat's equation, Theta series; Weil representation; theta correspondences, Langlands-Weil conjectures, nonabelian class field theory, Representations of Lie and linear algebraic groups over global fields and adèle rings, Representations of Lie and linear algebraic groups over local fields, Galois theory, Research exposition (monographs, survey articles) pertaining to field theory, Ramification and extension theory Some problems of effectivity in arithmetic, geometry and analysis | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(\Sigma^ 3\) map germ; 2-jet; net of quadratic maps from \({\mathbb{R}}^ 3\) to \({\mathbb{R}}^ 3\); versal deformations; topologically inequivalent Edwards, S. A.; Wall, C. T. C., Nets of quadrics and deformations of \(\Sigma^{3\langle3\rangle}\) singularities, Math. Proc. Cambridge Philos. Soc., 105, 1, 109-115, (1989) Singularities of differentiable mappings in differential topology, Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Pencils, nets, webs in algebraic geometry Nets of quadrics and deformations of \(\Sigma ^{3<3>}\) 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 power series ring; characteristic pairs; singularity; JFM 50.0432.03; Puiseux series; multiplicity sequence of a resolution Formal power series rings, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves Characteristic pairs along the resolution sequence | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 algebra; elliptic function; Dunkl elements; Fomin-Kirillov quadratic algebra; Nichols-Woronowicz algebra Kirillov, Anatol N. and Maeno, Toshiaki, Braided differential structure on {W}eyl groups, quadratic algebras, and elliptic functions, International Mathematics Research Notices. IMRN, 2008, 14, no.~14, rnn046, 23~pages, (2008) Linear difference operators, Representation theory of linear operators, Hopf algebras and their applications, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), Grassmannians, Schubert varieties, flag manifolds, Reflection and Coxeter groups (group-theoretic aspects) Braided differential structure on Weyl groups, quadratic algebras, and elliptic functions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hyperelliptic curves; finite Galois extension of degree n; Galois group; set of K-linear maps Galois theory, Arithmetic ground fields for curves, Elliptic curves over global fields, Elliptic curves An application of Mordell's conjecture to a characterization of Galois groups. I: Quadratic 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 numbers of orbits; prehomogeneous vector spaces; rational representations; connected linear algebraic groups; Zariski-dense orbits; irreducible components T. Kamiyoshi, A characterization of finite prehomogeneous vector spaces of \( D_{4}\)-type under various scalar restrictions, submitted to Tsukuba J. of Math. Representation theory for linear algebraic groups, Homogeneous spaces and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions, Homogeneous spaces, Prehomogeneous vector spaces A characterization of finite prehomogeneous vector spaces of \(D_4\)-type under various scalar restrictions. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 cohomology; topological modular forms; resolution of the sphere spectrum; chromatic filtration M. Behrens, A modular description of the \(K(2)\)-local sphere at the prime 3, Topology 45 (2006), no. 2, 343--402. Elliptic cohomology, Homotopy groups of spheres, \(v_n\)-periodicity, Primary cohomology operations in algebraic topology, Elliptic curves A modular description of the \(K(2)\)-local sphere at the prime 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 toroidalization; resolution of morphisms; principalization Toric varieties, Newton polyhedra, Okounkov bodies, Local structure of morphisms in algebraic geometry: étale, flat, etc., Singularities in algebraic geometry Toroidalization of locally toroidal morphisms from \(n\)-folds to 3-folds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system motivic cohomology; quadratic forms; slices of Hermitian \(K\)-theory and Witt theory Hermitian \(K\)-theory, relations with \(K\)-theory of rings, \(K\)-theory of quadratic and Hermitian forms, Quadratic forms over general fields, Motivic cohomology; motivic homotopy theory, Stable homotopy theory, spectra, General theory of spectral sequences in algebraic topology Slices of Hermitian \(K\)-theory and Milnor's conjecture on 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 affine group over the integers; Klein program; complete orbit invariant; Turing-computable invariant; \(\mathsf{GL}(n,\mathbb{Z})\)-orbit; (Farey)regular simplex; regular complex; desingularization; strong Oda conjecture; Hirzebruch-Jung continued fraction algorithm; rational polyhedron; conic; conjugate diameters; Apollonius of Perga; Pappus of Alexandria; quadratic form; Clifford-Hasse-Witt invariant; Hasse-Minkowski theorem; Markov unrecognizability theorem Actions of groups on commutative rings; invariant theory, Quadratic and bilinear Diophantine equations, General binary quadratic forms, Quadratic forms (reduction theory, extreme forms, etc.), Rational points, Plane and space curves, Geometric invariant theory, Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on affine varieties, Other matrix groups over rings Complete and computable orbit invariants in the geometry of the affine group over the integers | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Green-Lazarsfeld conjecture; minimal free resolution; vanishing ideal generated by quadrics; matroid theory; finite set of points; JFM 25.1035.02 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Relevant commutative algebra, Syzygies, resolutions, complexes and commutative rings On the conjecture of the resolution of a finite set of points in 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 instability; nonlinear Schrödinger system; trigonal spectral curve; trigonal curves of genus one Wright, O. C.: Modulational instability in a defocusing coupled nonlinear Schrödinger system. Physica D 82, 1-10 (1995) NLS equations (nonlinear Schrödinger equations), Applications of dynamical systems, Riemann surfaces; Weierstrass points; gap sequences Modulational instability in a defocussing coupled nonlinear Schrödinger system | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 generators; méthode d'Horace; maximal rank minimally generated curve; elementary transformations Idà, M.: Generators for the generic rational space curve: low degree cases. Lecture notes in pure and applied math. 206 (1999) Plane and space curves, Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Generators for the generic rational space curve: Low degree cases | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Mordell-Weil groups; generic fibre; system of polarized abelian varieties; level structure; endomorphism structure; CM-field , Moredell-Weil groups of generic abelian varieties in the unitary case, Proc. of the A. M.S., 104 (1988), 723-728. Algebraic moduli of abelian varieties, classification, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Structure of families (Picard-Lefschetz, monodromy, etc.), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Complex multiplication and abelian varieties Mordell-Weil groups of generic abelian varieties in the unitary 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 ADE-singularities; moduli spaces of curves; simultaneous resolution Casalaina-Martin S. and Laza R., Simultaneous semi-stable reduction for curves with ADE singularities, Trans. Amer. Math. Soc. 365 (2013), no. 5, 2271-2295. Families, moduli of curves (algebraic), Geometric invariant theory, Minimal model program (Mori theory, extremal rays) Simultaneous semi-stable reduction for curves with ADE 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 identity component; maximal torus; dominant weights; linear representation; simply connected semisimple group; stationary subgroup of general position; action; maximal unipotent subgroup; algebra of covariants; restriction Panyushev, D.: Orbits of maximal dimension of solvable subgroups of reductive linear groups and reduction forU-invariants. Math. USSR, Sb.60, 365-375 (1988) Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Group actions on varieties or schemes (quotients) Orbits of maximal dimension of solvable subgroups of reductive linear groups, and reduction for U-invariants | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system variety of general type; smooth complex projective variety; large fundamental group; Shafarevich variety; Shafarevich map; resolution of singularities; nonvanishing theorem; plurigenera; 3-folds of general type Kollár, J., Shafarevich maps and plurigenera of algebraic varieties, Invent. Math., 113, 176-215, (1993) Rational and birational maps, Coverings in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, \(n\)-folds (\(n>4\)) Shafarevich maps and plurigenera of algebraic 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 homogeneous singularity; log-resolution; local system; multiplier ideal; finite abelian cover; Hodge spectrum; spectrum multiplicity; monodromy zeta function Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves, Multiplier ideals, Global theory of complex singularities; cohomological properties, Mixed Hodge theory of singular varieties (complex-analytic aspects) On complex homogeneous 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 minimal free resolution; finite sets of points; Hilbert function; truncation; minimal generator Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Linkage, complete intersections and determinantal ideals Resolutions of subsets of finite sets of points in 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 Linear pfaffian representation; Moduli space of semistable vector bundles; Plane curves Buckley, A; Košir, T, Plane curves as pfaffians, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 10, 363-388, (2011) Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Determinants, permanents, traces, other special matrix functions, Matrices over function rings in one or more variables Plane curves as Pfaffians | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system bound on the degree of the rank 1 locus; map of vector bundles; determinantal loci; Castelnuovo theory; Clifford theory; products of linear series; Clifford index D. Eisenbud, J. Harris: An intersection bound for rank 1 loci, with applications to Castelnuovo and Clifford theory, J. Alg. Geom.1, 31--60 (1992) Determinantal varieties, Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry An intersection bound for rank 1 loci, with applications to Castelnuovo and Clifford 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 differential system; \({\mathcal D}\)-module; characteristic cycle; \(b\)- function; regular holonomic \({\mathcal D}\)-module; distribution; perverse sheaf; micro-differential system; derived category Björk, Jan-Erik, Analytic \({\mathcal{D}}\)-modules and applications, Mathematics and its Applications 247, xiv+581 pp., (1993), Kluwer Academic Publishers Group, Dordrecht Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Sheaves of differential operators and their modules, \(D\)-modules, Relations of PDEs on manifolds with hyperfunctions, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Rings of differential operators (associative algebraic aspects), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) Analytic \(D\)-modules and applications | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; idealistic exponents; positive characteristic; determinantal varieties Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Determinantal varieties Partial local resolution by characteristic zero methods | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Calabi-Yau manifold; coisotropic submanifold; non-linear sigma-model; characteristic foliation; perturbative geometry on \(A\)-brane; stacks of \(A\)-branes; tachyon profiles of brane-antibrane pairs; tachyon condensation; transversely holomorphic vector bundles Herbst, M., On higher rank coisotropic A-branes, J. Geom. Phys., 62, 156, (2012) Mirror symmetry (algebro-geometric aspects), Symplectic manifolds (general theory), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects) On higher rank coisotropic \(A\)-branes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system moment relaxation; Lasserre relaxation; basic closed semialgebraic set; sum of squares; polynomial optimization; semidefinite programming; linear matrix inequality; spectrahedron; semidefinitely representable set Semidefinite programming, Semialgebraic sets and related spaces, Convex sets in \(n\) dimensions (including convex hypersurfaces), Convex functions and convex programs in convex geometry, Nonconvex programming, global optimization, Real algebra On the exactness of Lasserre relaxations for compact convex basic closed semialgebraic 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 Gorensteinness of Rees algebras of symbolic powers; regular system of parameters; space monomial curves Goto S., J. Math. Soc. Japan 43 pp 465-- (1991) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Plane and space curves, Cohen-Macaulay modules, Singularities of curves, local rings The Gorensteinness of symbolic Rees algebras for space curves | 0 |
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