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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 resolution of singularities; determinantal singularities; Nash transformation; Tjurina transformation Singularities in algebraic geometry, Determinantal varieties, Local complex singularities, Modifications; resolution of singularities (complex-analytic aspects) On Tjurina transform and resolution of determinantal 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 Chern numbers of logarithmic cotangent bundle; quotient surface singularities; minimal resolution; bound for number of rational double points Miyaoka Y.: The maximal number of quotient singularities on surfaces with given numerical invariants. Math. Ann. 268, 159--171 (1984) Singularities of surfaces or higher-dimensional varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Characteristic classes and numbers in differential topology, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) The maximal number of quotient singularities on surfaces with given numerical 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 transcendence; linear independence; endomorphisms of algebraic groups Transcendence (general theory), Group varieties, Complex multiplication and abelian varieties Représentations des corps de nombres et théorie de Baker | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 roots; system of algebraic equations; smooth function Polynomials in real and complex fields: location of zeros (algebraic theorems), Relevant commutative algebra, Real polynomials: analytic properties, etc. On the number of real roots of a system of equations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system rational representation of a linear algebraic group; pre-homogeneous vector space; zeta distributions Teranishi, Y.: The functional equation of zeta distributions associated with prehomogeneous vector spaces (G\tilde{}, p\tilde{}, M (n, C)). Nagoya math. J. 99, 131-146 (1985) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Homogeneous spaces and generalizations, Representation theory for linear algebraic groups The functional equation of zeta distributions associated with prehomogeneous vector spaces \((\tilde G,\tilde\rho,M(n,{\mathbb{C}}))\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 matrix inequality; completely positive; semidefinite programming; Positivstellensatz; Gleichstellensatz; Archimedean quadratic module; real algebraic geometry; free positivity; relaxation algorithm J. W. Helton, I. Klep, and S. McCullough\textit{The matricial relaxation of a linear matrix inequality}, Math. Program., 138 (2013), pp. 401--445; preprint available from . Linear inequalities of matrices, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Noncommutative algebraic geometry, Semialgebraic sets and related spaces, Semidefinite programming, Sums of squares and representations by other particular quadratic forms, Real algebra The matricial relaxation of a linear matrix inequality | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 weight enumerator of a linear code; Duursma's zeta polynomial and Duursma's reduced polynomial of a linear code; Riemann hypothesis analogue for linear codes; formally self-dual linear codes; Hasse-Weil polynomial and Duursma's reduced polynomial of a function field of one variable Kasparian, A.; Marinov, I., Duursma's reduced polynomial, (8 May 2015) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects) Duursma's reduced polynomial | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hilbert-Burch matrix; finite subsets of the plane; graded Betti numbers; linear systems on the plane Zachariah C. Teitler, On the intersection of the curves through a set of points in \Bbb P², J. Pure Appl. Algebra 209 (2007), no. 2, 571 -- 581. Divisors, linear systems, invertible sheaves, Plane and space curves, Projective techniques in algebraic geometry On the intersection of the curves through a set of points in \(\mathbb P^{2}\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Poisson structures; projective spaces; Poisson structures of hydrodynamic type; elliptic \(r\)-matrix; quadratic Poisson structures; elliptic functions; modular forms Poisson manifolds; Poisson groupoids and algebroids, Elliptic curves Poisson structures on loop spaces of \(\mathbb{C} P^n\) and an \(r\)-matrix associated with the universal elliptic curve | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system planar cubic non-Hamiltonian integrable system; zeros of abelian integrals Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Relationships between algebraic curves and integrable systems, Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems Abelian integrals for a planar cubic non-Hamiltonian integrable 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 essential dimension; linear algebraic group; Galois cohomology; cohomological invariant; quadratic form; central simple algebra; algebraic torus; canonical dimension Z. Reichstein, Essential dimension, Proceedings of the international congress of mathematicians. Vol. II (ICM 2010), Hindustan Book Agency, New Delhi (2011), 162-188. Group actions on varieties or schemes (quotients), Linear algebraic groups over arbitrary fields, Cohomology theory for linear algebraic groups, Galois cohomology of linear algebraic groups Essential 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 Gorenstein Liaison; Riemann-Roch Theorem; general set of points; minimal free resolution Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Commutative Artinian rings and modules, finite-dimensional algebras, Linkage The minimal resolution conjecture on a general quartic surface in \(\mathbb{P}^3\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system rationality of homogeneous spaces; SO(q); rationality of linear variety Rational and unirational varieties, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Classical groups (algebro-geometric aspects) On the rationality of some homogeneous spaces of the group SO(q) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; local uniformization; valuation; characteristic polyhedron; maximal contact ,\textit{Resolution of singularities of threefolds in positive characteristic. II}, J. Algebra 321 (2009), no. 7, 1836--1976.http://dx.doi.org/10.1016/j.jalgebra.2008.11.030.MR2494751 Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, \(3\)-folds, Rational and birational maps, Valuations and their generalizations for commutative rings Resolution of singularities of threefolds in positive characteristic. 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 noncommutative linear systems; categorical base locus; Orlov spectra; Okounkov body; \(K\)-calculus; variation of mixed stability structures L. Katzarkov, Y. Liu, Categorical base loci and spectral gaps, via okounkov bodies and nevanlinna theory. String-Math 2013(88), 47 (2014) Value distribution theory in higher dimensions, Noncommutative geometry methods in quantum field theory Categorical base loci and spectral gaps, via Okounkov bodies and Nevanlinna 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 densities of discriminants of cubic fields; 3-class-number of quadratic fields; binary cubic forms; adelization; zeta-functions; function field; Dedekind's zeta-function Iwasawa theory, Arithmetic theory of algebraic function fields, Quadratic forms over global rings and fields, Density theorems, Asymptotic results on counting functions for algebraic and topological structures, Cubic and quartic extensions, Global ground fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields, Algebraic functions and function fields in algebraic geometry Density of discriminants of cubic extensions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic curves; Goppa codes; algebraic-geometry codes; constructions of linear codes Chaoping Xing, Harald Niederreiter, and Kwok Yan Lam, Constructions of algebraic-geometry codes, IEEE Trans. Inform. Theory 45 (1999), no. 4, 1186 -- 1193. Geometric methods (including applications of algebraic geometry) applied to coding theory, Linear codes (general theory), Applications to coding theory and cryptography of arithmetic geometry Constructions of algebraic-geometry codes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system random polynomial; system of random equations; Rice formula Azaïs, Jean-Marc; Wschebor, Mario, On the roots of a random system of equations. The theorem on Shub and Smale and some extensions, Found. Comput. Math., 5, 2, 125\textendash144 pp., (2005) Stochastic processes, Computational aspects in algebraic geometry, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Real polynomials: location of zeros On the roots of a random system of equations. The theorem of Shub and Smale and some extensions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system higher order algebraic curves; piecewise rational curves; nonsingular curves; error control; quadratic transformations W.N. Waggenspack, Jr. and C.C. Anderson, Piecewise parametric approximations for algebraic curves, Comp. Aided Geom. Design 6 (1989) 33--53. Algorithms for approximation of functions, Curves in Euclidean and related spaces, Algebraic functions and function fields in algebraic geometry Piecewise parametric approximations for 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 exponents of a D-module; Gauss-Manin system; hypergeometric integral Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Formal power series rings, Structure of families (Picard-Lefschetz, monodromy, etc.) Exponents of some one-dimensional Gauss-Manin 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 rational surface; elliptic surface; cuspidal K3-like surface; Picard number; group of birational transformations Brian Harbourne, Automorphisms of cuspidal \?3-like surfaces, Algebraic geometry: Sundance 1988, Contemp. Math., vol. 116, Amer. Math. Soc., Providence, RI, 1991, pp. 47 -- 60. Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Minimal model program (Mori theory, extremal rays), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces Automorphisms of cuspidal K3-like 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 commutative algebraic groups; measure of linear independence; linear forms in logarithms; Baker's method Gaudron, Mesures d'indépendance linéaire de logarithmes dans un groupe algébrique commutatif, Invent. Math. 162 pp 137-- (2005) Linear forms in logarithms; Baker's method, Inhomogeneous linear forms, Group varieties Measures of linear independence of logarithms on a commutative algebraic 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 resolution of singularities; Nash blow up; Nash sheaf; three-dimensional complex varieties Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects) An exact sequence of weighted Nash complexes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 graphics; homogeneous coordinates; Plücker coordinates; principle of duality; line and plane intersections computation; projective geometry Skala, M. A.: Aspects of metric spaces in computation Computer graphics; computational geometry (digital and algorithmic aspects), Projective and enumerative algebraic geometry Duality and intersection computation in projective space with GPU support | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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-regular scheme; blow-up; resolution of singularities; toric Nizioł, {W}iesława, Toric singularities: log-blow-ups and global resolutions, Journal of Algebraic Geometry, 15, 1-29, (2006) Global theory and resolution of singularities (algebro-geometric aspects), Embeddings in algebraic geometry, Singularities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies Toric singularities: log-blow-ups and global resolutions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resurgence; symbolic power; ordinary power; Waldschmidt constant; configuration of linear subspaces Configurations and arrangements of linear subspaces, Graded rings, Projective techniques in algebraic geometry, Polynomial rings and ideals; rings of integer-valued polynomials On the configurations of codimension two linear subspaces of \(\mathbb{P}^N\) with the Waldschmidt constant less than 2 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Cremona transformations; Jonquières transformations; length; dynamical length; linear systems; base-points Birational automorphisms, Cremona group and generalizations Length in the Cremona 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 coordinate ring of a finite set of points; geometry of the configuration; minimal resolution conjecture Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Sets of points and their 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 resolution of singularities; stable simple normal crosssings; desingularization invariant; Hilbert-Samuel function; presentations Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Divisors, linear systems, invertible sheaves, Invariants of analytic local rings, Modifications; resolution of singularities (complex-analytic aspects) Desingularization preserving stable simple normal crossings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 secants; identifiability; linear systems of tensors DOI: 10.1016/j.laa.2012.07.045 Projective techniques in algebraic geometry, Vector and tensor algebra, theory of invariants Grassmann secants, identifiability, and linear systems of tensors | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system reductive linear algebraic gruops; involutions; rational points; symmetric varieties; orbits; minimal parabolic subgroups; conjugacy classes of maximal tori A. G. Helminck, Tori invariant under an involutorial automorphism, II, Adv. in Math. 131 (1997), no. 1, 1--92. Linear algebraic groups over arbitrary fields, Group actions on varieties or schemes (quotients), Simple, semisimple, reductive (super)algebras, Homogeneous spaces and generalizations Tori invariant under an involutorial automorphism. 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 Linear systems of rational functions Algebraic functions and function fields in algebraic geometry Proof of a theorem of Bertini on linear systems of entire functions. I, 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 resolution of singularities; good point theory; algorithm for resolution Kollár, J.: Lectures on resolution of singularities. In: Annals of Mathematics Studies, vol. 166. Princeton University Press, Princeton (2007) Computational aspects of higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects) Good points and constructive 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 Wronski map; Plücker embedding; 3-forms in \(\mathbb{C}^6\); self-adjoint linear ordinary differential operators; symmetric linear control systems; pole placement map Grassmannians, Schubert varieties, flag manifolds, Linear ordinary differential equations and systems, Pole and zero placement problems, Algebraic methods, Families, moduli of curves (algebraic) Nontrivial linear projections on the Grassmannian \(\text{Gr}_3(\mathbb{C}^6)\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hamiltonian reduction of an enhanced Borel subalgebra; Grothendieck-Springer resolution; moment maps; regular semisimple locus; generalized almost-commuting varieties; Hilbert schemes Other algebraic groups (geometric aspects), Computational aspects of higher-dimensional varieties, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Parametrization (Chow and Hilbert schemes) The regular semisimple locus of the affine quotient of the cotangent bundle of the Grothendieck-Springer resolution | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear differential operator; commuting pair of differential operators; Bergnahm-Chaundi polynomial; method for the construction of commuting pairs of differential operators А. Е. Миронов, Матем. сб., 195:5 (2004), 103 -- 114 Relationships between algebraic curves and integrable systems, Ordinary differential operators, Commutative rings of differential operators and their modules, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions On a ring of commutative differential operators of rank two, which corresponds to a curve of genus two. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic form; quasilinear quadratic form; quasi-Pfister form; quasi-Pfister neighbor; isotropy; isotropy index; function field of a quadric Quadratic forms over general fields, Rational and birational maps Quasilinear quadratic forms and function fields of quadrics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system ordered basis; homogeneous root system; reflections; quasi-Coxeter elements; braid group; monodromy Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Ausgezeichnete Basen von Milnor-Gittern einfacher Singularitäten (Gitterbasen homogener Wurzelsysteme) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 statistical model; \(C^*\)-dynamical system; commensurable class of \(Q\)-lattice; KMS state; Type \(\text{II}_1\)-factor; modular field; Eisenstein series A. Connes and M. Marcolli, ''From physics to number theory via noncommutative geometry. Part I: Quantum statistical mechanics of Q-lattices,'' in Frontiers in Number Theory, Physics, and Geometry, I pp. 269--350 (Springer Verlag, 2006). Noncommutative geometry (à la Connes), Quantum dynamics and nonequilibrium statistical mechanics (general), Noncommutative geometry in quantum theory, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Arithmetic problems in algebraic geometry; Diophantine geometry, Relations with noncommutative geometry From physics to number theory via noncommutative 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 index of regularity; Hilbert function; plurigenera; number of integral points; Newton polyhedra; resolution; complete intersection singularity Marcel Morales, Resolution of quasihomogeneous singularities and plurigenera, Compositio Math. 64 (1987), no. 3, 311 -- 327. Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Complete intersections Resolution of quasi-homogeneous singularities and plurigenera | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; elliptic curves over an imaginary quadratic field; Iwasawa theory; supersingular primes; Schneider-Greenberg conjecture; \(p^ m\)-torsion subgroups; \(\mathbb{Z}_ p\)-cyclotomic extensions; maximal proextensions; special values of modular \(L\)-functions; elliptic units Mcconnell, G.: On the Iwasawa theory of CM elliptic curves at supersingular primes, Compos. math. 101, 1-19 (1996) Iwasawa theory, Elliptic curves over global fields, Elliptic curves, Complex multiplication and moduli of abelian varieties On the Iwasawa theory of CM elliptic curves at supersingular primes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system invariants preserving transformations; determinant; trace; rank; R-linear transformations; survey article; Picard group; R-submodules; group schemes; exact sequence in non-abelian cohomology Determinants, permanents, traces, other special matrix functions, Research exposition (monographs, survey articles) pertaining to linear algebra, Affine algebraic groups, hyperalgebra constructions, Endomorphism rings; matrix rings Linear mappings of matrix rings preserving 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 flag varieties; line bundles; integrable systems; Darboux transformations; Miura transform; integrable deformations; linear systems Infinite-dimensional Lie groups and their Lie algebras: general properties, Grassmannians, Schubert varieties, flag manifolds, Analysis on other specific Lie groups, Infinite-dimensional Lie (super)algebras Infinite-dimensional flag manifolds in integrable 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 \(K3\) surface, double cover family of \(K3\) surfaces, period, mirror map, \(K3\) lambda function, hypergeometric system, mirror symmetry \(K3\) surfaces and Enriques surfaces, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Families, moduli, classification: algebraic theory, Mirror symmetry (algebro-geometric aspects) \(K3\) surfaces from configurations of six lines in \(\mathbb{P}^2\) and mirror symmetry. II: \(\lambda_{K3}\)-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 fat point; Hilbert function; minimal number of homogeneous generators; minimal free resolution Enumerative problems (combinatorial problems) in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Determinantal varieties ``Fat'' points on a conic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system orthogonal groups; moduli space of hyperelliptic curves; Plücker morphism R. Sasaki, Moduli space of hyperelliptic curves of genus two with level \((2,4)\) structure and the special orthogonal group of degree three, Kyushu J. Math., 53 (1999), 333-361. Families, moduli of curves (algebraic), Projective techniques in algebraic geometry, Elliptic curves, Classical groups (algebro-geometric aspects) Moduli space of hyperelliptic curves of genus two with level (2,4) structure and the special orthogonal group of degree three | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system fully commutative elements; nilpotent orbits; ad-nilpotent ideals of Borel subalgebras Homogeneous spaces and generalizations, Compactifications; symmetric and spherical varieties, Coadjoint orbits; nilpotent varieties, Reflection and Coxeter groups (group-theoretic aspects) Fully commutative elements and spherical nilpotent orbits | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system lower bound; logarithms of algebraic points on an algebraic group; simultaneous independent linear forms Hirata-Kohno, N.: Approximations simultanées sur LES groupes algébriques commutatifs. Compositio math. 86, 9-96 (1993) Linear forms in logarithms; Baker's method, Group varieties Simultaneous approximation on commutative algebraic groups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fano-Mori fibre space; birational rigidity; maximal singularity; hypertangent divisor; log canonical singularity; linear system; canonical class Pukhlikov, A. V., Birationally rigid Fano fibrations. II, Izv. Ross. Akad. Nauk Ser. Mat., 79, 175-204, (2015) Rational and birational maps, Fano varieties, Minimal model program (Mori theory, extremal rays), Fibrations, degenerations in algebraic geometry, Rationally connected varieties Birationally rigid Fano fibre spaces. 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 fat points; line arrangements; linear systems; splitting types of vector bundles Configurations and arrangements of linear subspaces, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Combinatorial aspects of commutative algebra, Sheaves in algebraic geometry Unexpected curves arising from special line arrangements | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system cohomology groups; complete linear system; monoidal transformation; Picard group; rational surface Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Vanishing theorems in algebraic geometry 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 Fano manifolds; families of lines; covered by linear spaces Fano varieties, Rational and unirational varieties An invariant for embedded Fano manifolds covered by linear spaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system characteristic p; system of parameters; d-sequence; Buchsbaum ring; finite local cohomology Goto, S., Ogawa, T.: A Note on Rings with Finite Local Cohomology. Tokyo J. Math.6, 403--411 (1983) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Local cohomology and algebraic geometry A note on rings with finite local cohomology | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system analysis and modelling of signals; discrete linear stochastic signals; estimation algebras; Grassmannian representations of matrix transfer functions Signal theory (characterization, reconstruction, filtering, etc.), Algebraic methods, Signal detection and filtering (aspects of stochastic processes), Grassmannians, Schubert varieties, flag manifolds Structural-algebraic aspects of modeling and estimation of diagnostic signals | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Weierstrass point; Brill-Noether theory; Kodaira dimension; degenerations; smoothings of linear series; moduli space of curves of genus g; monodromy group Eisenbud, D., Harris, J.: The irreducibility of some families of linear series. (Preprint 1984) Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Divisors, linear systems, invertible sheaves, Formal methods and deformations in algebraic geometry, Algebraic moduli problems, moduli of vector bundles Limit linear series, the irrationality of \(M_ g\), and other 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 equisingular families of curves; prescribed singularities; fat points schemes Keilen, T.: Reducible families of curves with ordinary multiple points on surfaces in projective three-space, Comm. in algebra 34,5, 1921-1926 (2006) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Singularities of curves, local rings, Rational and ruled surfaces Reducible families of curves with ordinary multiple points on surfaces in \(\mathbb P^{3}_{\mathrm C}\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; resolution of singularities Knaf H. and Kuhlmann F.-V., Every place admits local uniformization in a finite extension of the function field, Adv. Math. 221 (2009), 428-453. Global theory and resolution of singularities (algebro-geometric aspects), Other nonalgebraically closed ground fields in algebraic geometry, Arithmetic theory of algebraic function fields Every place admits local uniformization in a finite extension of the function 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 resolution of surface singularities; Newton polygon; equimultiple locus; blowup Singularities of curves, local rings, Complex surface and hypersurface singularities Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system maximum for the dimension of linear series of given degree on a smooth plane curve of degree d C. Ciliberto , Alcune applicazioni di un classico procedimento di Castelnuovo , Sem. di variabili Complesse, Univ. di Bologna, 1982-83,17-43. Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Some applications of a classical method of Castelnuovo | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Beilinson conjectures; motives; Hecke characters of imaginary quadratic fields; regulator map; \(p\)-adic \(K\)-theory; Galois cohomology group; \(p\)-adic \(L\)-series Geisser, p-adic K-theory of Hecke characters of imaginary quadratic fields and an analogue of Beilinson's conjectures, Duke Math. J. 86 (2) pp 197-- (1997) \(K\)-theory of global fields, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Quadratic extensions, Applications of methods of algebraic \(K\)-theory in algebraic geometry \(p\)-adic \(K\)-theory of Hecke characters of imaginary quadratic fields and an analogue of Beilinson's conjectures | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system qubits; entanglement; system of parameters; Gorenstein; Cohen-Macaulay DOI: 10.1007/s10440-005-0471-3 Quantum computation, Groups and algebras in quantum theory, Geometric invariant theory, Semisimple Lie groups and their representations The Hilbert series of measures of entanglement for 4 qubits | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system germs of analytic plane curves; moduli space of germs; Tjurina number; equisingular miniversal deformation Peraire, R.: Moduli of plane curve singularities with a single characteristic exponent, Proc. amer. Math. soc. 126, No. 1, 25-34 (1998) Singularities of curves, local rings, Invariants of analytic local rings Moduli of plane curve singularities with a single characteristic exponent | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system semi-abelian analogue of Schanuel's conjecture; linear disjointness; algebraic independence; semi-abelian exponential; generalized semi-abelian logarithm Transcendence (general theory), Transcendence theory of elliptic and abelian functions, Analytic theory of abelian varieties; abelian integrals and differentials, Theta functions and abelian varieties Semi-abelian analogues of Schanuel conjecture 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 unipotent elements; nilpotent elements; special orthogonal groups; unipotent classes; unipotent pieces; reductive connected algebraic groups; varieties of Borel subgroups G. Lusztig, Unipotent elements in small characteristic, III, J. Algebra 329 (2011), 163--189. Linear algebraic groups over finite fields, Lie algebras of linear algebraic groups, Conjugacy classes for groups, Étale and other Grothendieck topologies and (co)homologies, Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups Unipotent elements in small characteristic. III. (With an appendix with T. Xue). | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system exterior power; algebra of minors; orbit structure; singular locus; general linear group Bruns, W.; Conca, A.: The variety of exterior powers of linear maps, J. algebra 322, 2927-2949 (2009) Determinantal varieties, Classical groups (algebro-geometric aspects), Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds The variety of exterior powers of linear 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 general linear groups; Borel subgroups; Lie algebras of matrices; Lie ideals; dense orbits; quasi-hereditary algebras; dimension vectors Goodwin, S.M., Hille, L.: Prehomogeneous spaces for Borel subgroups of general linear groups. Transform. Groups (to appear) Linear algebraic groups over arbitrary fields, Lie algebras of linear algebraic groups, Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients) Prehomogeneous spaces for Borel subgroups of general linear 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 algebraic geometry; syzygies; projective normality; normal presentation; higher dimensional varieties with nef canonical bundle; Fujita's conjecture; pluricanonical linear systems on varieties of general type Divisors, linear systems, invertible sheaves, Adjunction problems, Projective techniques in algebraic geometry, \(n\)-folds (\(n>4\)) On the projective normality and normal presentation on higher dimensional varieties with nef canonical bundle | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system homological dimension; linear resolutions; Diophantine equations; ternary quadratic forms Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(3\)-folds, Quadratic and bilinear Diophantine equations, Syzygies, resolutions, complexes and commutative rings Vector bundles \(\mathrm{E}\) on \(\mathbb{P}^3\) with homological dimension 2 and \(\chi\)(End\(\mathrm{E}) = 1\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system abelian varieties; Jacobians; automorphisms of curves; abelian functions; soliton equations; integrable Hamiltonian systems; Poincaré reducibility; KP equation; KdV equation; Krichever theory; Calgorero-Moser system Emma Previato, Some integrable billiards, SPT 2002: Symmetry and perturbation theory (Cala Gonone), World Sci. Publ., River Edge, NJ, 2002, pp. 181 -- 195. Jacobians, Prym varieties, Elliptic curves, Relationships between algebraic curves and integrable systems, Analytic theory of abelian varieties; abelian integrals and differentials, KdV equations (Korteweg-de Vries equations) Reduction theory, elliptic solitons and integrable 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 modification; survey; tangent hyperplanes; normal surface singularity; Milnor numbers; tangent cone; resolution of normal surface singularities Complex surface and hypersurface singularities, Modifications; resolution of singularities (complex-analytic aspects), Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Invariants of analytic local rings, Singularities of surfaces or higher-dimensional varieties Geometry of complex 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 injective homomorphism of product of local rings; length formulas for the local cohomology; module of differential forms on a complete intersection with isolated singularity Bruns, W. andVetter, U., Length formulas for the local cohomology of exterior powers,Math. Z. 191, (1986), 145--158. Homological dimension and commutative rings, Dimension theory, depth, related commutative rings (catenary, etc.), Local cohomology and algebraic geometry, Complete intersections Length formulas for the local cohomology of exterior 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 polynomial; isolated zero of a system of polynomials; multiplicity Projective techniques in algebraic geometry, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) The Gabrielov-Khovanskii problem for 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 Brill-Noether theory; moduli space of curves, divisors on the moduli space of curves; linear series; special divisors Choi, Y.; Kim, S.; Kim, Y.: Remarks on brill-Noether divisors and Hilbert schemes, J. pure appl. Algebra 216, 377-384 (2012) Special divisors on curves (gonality, Brill-Noether theory), Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, Parametrization (Chow and Hilbert schemes) Remarks on Brill-Noether divisors and Hilbert schemes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system general linear group; symmetric product; complete reducibility; irreducible representations; space of invariants; symmetric group Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Vector and tensor algebra, theory of invariants The number of 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 quasianalytic; Denjoy-Carleman class; resolution of singularities Bierstone E., Milman P.D.: Resolution of singularities in Denjoy-Carleman classes. Selecta Math. (N.S.) 10(1), 1--28 (2004) Real-analytic and semi-analytic sets, \(C^\infty\)-functions, quasi-analytic functions, Differentiable maps on manifolds Resolution of singularities in Denjoy-Carleman classes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; rational double points; linear systems; intermediated embeddings; \((-2)\)-curves Surfaces of general type, Embeddings in algebraic geometry, Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves Partially negative cycles and projective embeddings 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 Transformations of abelian functions Jacobians, Prym varieties The form and number of representatives of non equivalent classes of transformations of ultraelliptic functions of arbitrary transformation 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 resolution of singularities; curves; surfaces; threefolds Hauser [Hauser 00] H., Resolution of Singularities (2000) History of algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), History of mathematics in the 19th century, History of mathematics in the 20th century, Singularities in algebraic geometry, Global theory of complex singularities; cohomological properties, Modifications; resolution of singularities (complex-analytic aspects), Singularities of curves, local rings, Singularities of surfaces or higher-dimensional varieties Resolution of singularities 1860--1999 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; curve singularities B. Teissier, Introduction to curve singularities, Singularity theory (Trieste, 1991), World Scientific Publishing (1995), 866-893. Singularities of curves, local rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Introduction to curve singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic forms; pair of forms; asymptotic formula; smooth intersection; Delta-method; Kloosterman refinement; double Kloosterman refinement R. Munshi, Pairs of quadrics in 11 variables, preprint (2013), . Diophantine equations in many variables, Counting solutions of Diophantine equations, Quadratic forms over general fields, Applications of the Hardy-Littlewood method, Rational points Pairs of quadrics in 11 variables | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system System of equations; roots; algebraic funcion; determinant Equations in general fields, Polynomials in real and complex fields: location of zeros (algebraic theorems), Algebraic functions and function fields in algebraic geometry, Determinants, permanents, traces, other special matrix functions, Numerical computation of solutions to systems of equations Solution of a question (5072). | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 toric variety; shellability; root system of type B Toric varieties, Newton polyhedra, Okounkov bodies, Root systems, Shellability for polytopes and polyhedra The Betti numbers of real toric varieties associated to Weyl chambers of type \(B\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system extension of varieties; Veronesean varieties; Segre varieties; not hyperplane sections; quadratic equations; not a complete inersection L'vovski S.M. (1989) On the extension of varieties defined by quadratic equations. Math. USSR Sbornik 63: 305--317 Complete intersections, Rational and ruled surfaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) On the extension of varieties defined by quadratic equations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Green's conjecture; linear series Clifford index; rational ribbon; resolution Clifford index; canonical curve conjecture D. Eisenbud and M. Green, Clifford indices of ribbons, Trans. Amer. Math. Soc. 347 (1995), no. 3, 757--765. Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic) Clifford indices of ribbons | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system system of congruences; Poincaré series; p-adic units; poles; singularities Jay R. Goldman, Numbers of solutions of congruences: Poincaré series for algebraic curves, Adv. in Math. 62 (1986), no. 1, 68 -- 83. Zeta functions and \(L\)-functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Singularities of curves, local rings Numbers of solutions of congruences: Poincaré series for 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 normal excellent equicharacteristic local rings; effective Weil divisor; global functions; Cartier divisor; resolution of singularities Divisors, linear systems, invertible sheaves, Regular local rings, Global theory and resolution of singularities (algebro-geometric aspects) A local version of some results 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 supersingular curve; complete Edwards curve; twisted Edwards curve; quadratic Edwards curve; torsion pair; order of point; Legendre symbol; quadratic residue; quadratic nonresidue Curves over finite and local fields, Arithmetic ground fields for curves Supersingular twisted Edwards curves over prime fields. II: Supersingular twisted Edwards curves with the \(j\)-invariant equal to \(66^3\) | 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 Birch--Swinnerton-Dyer conjecture; rank; group of rational points; elliptic curves; class number; quadratic fields \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over global fields, Elliptic curves, Rational points On the rank and the BSD conjecture of elliptic curves \(E_D\colon y^2=x^3-D^3\) | 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 k-gonal curve; double cover of a nonsingular complete curve; linear series Del Centina, A.: \(g{\kappa}1\) on an unramified double cover of a k-gonal curve and applications. Rend. sem. Mat. Torino 41, 53-63 (1983) Coverings of curves, fundamental group, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, Coverings in algebraic geometry \(g_ k^ l\)'s on an unramified double cover of a k-gonal curve 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 Painlevé equations; birational canonical transformations; Hamiltonian system Okamoto, Kazuo, Studies on the {P}ainlevé equations. {III}. {S}econd and fourth {P}ainlevé equations, {\(P_{{\mathrm II}}\)} and {\(P_{{\mathrm IV}}\)}, Mathematische Annalen, 275, 2, 221-255, (1986) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Rational and birational maps Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 quadratic complexes; quintic curves; Cremona transformations Birational automorphisms, Cremona group and generalizations, Rational and birational maps, Special algebraic curves and curves of low genus, Singularities of surfaces or higher-dimensional varieties On singular quadratic complexes, quintic curves and Cremona transformations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system apolarity; Gorenstein algebra; sum of powers of linear forms; catalecticant matrices; determinantal loci; punctual Hilbert schemes Anthony Iarrobino and Vassil Kanev. \textit{Power Sums, Gorenstein Algebras, and Determinantal Loci}. Lecture Notes in Mathematics. Springer, 1999. Determinantal varieties, Parametrization (Chow and Hilbert schemes), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Linkage, complete intersections and determinantal ideals, Projective and enumerative algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 transformations; representability of functors; Zariski topology; algebraic groups Birational automorphisms, Cremona group and generalizations, Group actions on varieties or schemes (quotients) Algebraic structures of groups of birational transformations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Frobenius map; tight closure; Hochster-Roberts theorem; rings of invariants; Briançon-Skoda theorem; vanishing theorems; adjoint linear series Karen E. Smith, Tight closure and vanishing theorems, School on Vanishing Theorems and Effective Results in Algebraic Geometry (Trieste, 2000) ICTP Lect. Notes, vol. 6, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2001, pp. 149 -- 213. Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Integral closure of commutative rings and ideals, Vanishing theorems in algebraic geometry Tight closure and vanishing theorems. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system irreducibility of system of irreducible plane curves; abelian; fundamental group of the complement of a nodal plane curve; degree n Oscar Zariski, On the problem of irreducibility of the algebraic system of irreducible plane curves of a given order and having a given number of nodes, Arithmetic and geometry, Vol. II, Progr. Math., vol. 36, Birkhäuser Boston, Boston, MA, 1983, pp. 465 -- 481. Families, moduli of curves (algebraic), Singularities of curves, local rings, Enumerative problems (combinatorial problems) in algebraic geometry, Coverings in algebraic geometry On the problem of irreducibility of the algebraic system of irreducible plane curves of a given order and having a given number of nodes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fano complete intersection; maximal singularity; mobile linear system; multiplicity Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Fano varieties Birationally rigid complete intersections of codimension two | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(K3\) surface; Kummer quartic; minimal resolution of singularities; singular plane Naruki I. (1991). On metamorphosis of Kummer surfaces. Hokkaido Math. J. 20(2): 407--415 \(K3\) surfaces and Enriques surfaces, Enumerative problems (combinatorial problems) in algebraic geometry On metamorphosis of Kummer 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 \(SL_ 2\); algebra of invariant polynomials; coregular linear groups Group actions on varieties or schemes (quotients), Linear algebraic groups over the reals, the complexes, the quaternions, Geometric invariant theory, Actions of groups on commutative rings; invariant theory Coregular algebraic linear groups locally isomorphic to \(SL_ 2\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system spectral space and spectral map; star and semistar operations; Zariski, constructible, inverse and ultrafilter topologies; Gabriel-Popescu localizing system; Riemann-Zariski space of valuation domains; Kronecker function ring Finocchiaro, Carmelo A.; Fontana, Marco; Spirito, Dario, New distinguished classes of spectral spaces: a survey, (Multiplicative Ideal Theory and Factorization Theory: Commutative and Non-Commutative Perspectives, (2016), Springer Verlag) Ideals and multiplicative ideal theory in commutative rings, Integral domains, Morphisms of commutative rings, Chain conditions, finiteness conditions in commutative ring theory, Injective and flat modules and ideals in commutative rings, Relevant commutative algebra New distinguished classes of spectral spaces: a survey | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system counting; equidistribution; rational points; mixing; symmetric spaces; polar decomposition; resolution of singularities Y. Benoist, Effective equidistribution of \(S\)-integral points on symmetric varieties, Ann. Inst. Fourier (Grenoble), 62, 1889, (2012) Varieties over global fields, Global ground fields in algebraic geometry Effective equidistribution of \(S\)-integral points on symmetric varieties | 0 |
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