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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 geometry of divisor; three-dimensional Brieskorn singularity; torus resolution; K3-surface; rational surface M. OKA, On the resolution of hypersurfaces singularities, Adv. Studies in Pure Math. 8 (1986), 405-^36 Zentralblatt MATH: Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Modifications; resolution of singularities (complex-analytic aspects) On the resolution of the three dimensional Brieskorn 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 rationality of algebraic threefold; conic bundle; Cremona transformations; congruence of conics V. A. Iskovskikh, Congruences of conics in \({\mathbf P}^{3}\) , Vestnik Moskov. Univ. Ser. I Mat. Mekh. 37 (1982), no. 6, 57-62, Moscow Univ. Math. Bulletin 37, No. 6 (1982), 67-73. Rational and unirational varieties, Birational automorphisms, Cremona group and generalizations, \(3\)-folds, Low codimension problems in algebraic geometry, Rational and birational maps Congruences of conics 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 the zeta function; Lefschetz trace formula; resolution of singularities R. Pink, On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne, Ann. of Math., 135 (1992), 483--525. Étale and other Grothendieck topologies and (co)homologies, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear free resolution; fold products; star configuration; symbolic power Syzygies, resolutions, complexes and commutative rings, Configurations and arrangements of linear subspaces, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Ideals and multiplicative ideal theory in commutative rings On the Geramita-Harbourne-Migliore 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 minimal free resolution of a canonically embedded curve; surface of general type; syzygies; fibration of curves; slope; Horikawa index; Clifford index K. Konno, Clifford index and the slope of fibered surfaces, J. Algebraic Geom. 8 (1999), no. 2, 207-220. Fibrations, degenerations in algebraic geometry, Rational and ruled surfaces, Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry Clifford index and the slope of fibered 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 simple integrable modules; double affine Hecke algebras; perverse sheaves; linear algebraic groups; Lie algebras; Cartan subalgebras; Borel subalgebras; root systems; affine Weyl groups; simple reflections; pairings; equivariant \(K\)-theory; Jordan-Hölder multiplicities of induced modules Vasserot, Eric, Induced and simple modules of double affine Hecke algebras, Duke Math. J., 126, 2, 251-323, (2005) Hecke algebras and their representations, Grassmannians, Schubert varieties, flag manifolds, Lie algebras of linear algebraic groups, Grothendieck groups, \(K\)-theory, etc., Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Induced and simple modules of double affine Hecke algebras. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system 1-Weierstrass points; \(q\)-gap sequence; flexes; sextactic points; tentactic points; canonical linear system; Kuribayashi sextic curve Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves, Computational aspects in algebraic geometry Gap sequences of 1-Weierstrass points on non-hyperelliptic curves of genus 10 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system few rational points of Shimura curve; imaginary quadratic number field; quaternionic multiplication; QM-abelian surfaces; potential good reduction B. Jordan,Points on Shimura curves rational over number fields, Journal für die reine und angewandte Mathematik371 (1986), 92--114. Arithmetic ground fields for curves, Rational points, Quadratic extensions, Special algebraic curves and curves of low genus Points on Shimura curves rational over number 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 symplectic matrices; Gauss sums; Jacobi symbols; theta transformation formulas; theta functions; algebraic number fields; odd dimensional quadratic forms Trigonometric and exponential sums (general theory), Theta functions and abelian varieties, Theta series; Weil representation; theta correspondences Evaluating symplectic Gauss sums and Jacobi symbols | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system nonholonomic system; Abel quadrature; arithmetic of divisors Tsiganov, A.V., Integrable discretization and deformation of the nonholonomic Chaplygin ball, Regul. chaotic dyn., 22, 4, 353-367, (2017) Nonholonomic dynamical systems, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics, Relationships between algebraic curves and integrable systems, Nonholonomic systems related to the dynamics of a system of particles Integrable discretization and deformation of the nonholonomic Chaplygin ball | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system concealed-canonical algebras; separating exact subcategories; components of Auslander-Reiten quivers; quadratic forms; Artin algebras; tame hereditary algebras Lenzing, H.; de la Peña, J. A., Concealed-canonical algebras and separating tubular families, Proc. Lond. Math. Soc., 78, 513-540, (1999) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Vector bundles on curves and their moduli, Representations of quivers and partially ordered sets Concealed-canonical algebras and separating tubular families. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system characteristic \(p\); Bogomolov inequality; Chern numbers; vanishing theorem; adjoint linear systems; surfaces of general type Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991) Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Unstable vector bundles and linear systems on surfaces in characteristic p | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system self-dual; Yang-Mills connection; ADHM; special instanton; moduli space of instanton bundles; homogeneous vector bundle; equivariant resolution; stable vector bundle Faenzi, D., Homogeneous instanton bundles on \({\mathbb{P}^3}\) for the action of SL(2), J. Geom. Phys., 57, 2146-2157, (2007) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Group actions on varieties or schemes (quotients) Homogeneous instanton bundles on \(\mathbb P^3\) for the action of \(\mathrm{SL}(2)\) | 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 homotopy theory; motives; quadratic forms; homtopy groups of spheres Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Stable homotopy theory, spectra, Homotopy groups of spheres, Algebraic cycles An overview of motivic homotopy 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 resolution of singularities; toric variety; toric morphism; transversality Tevelev, J.: On a question of B. Teissier. Collect. math. 65, No. 1, 61-66 (2014) Global theory and resolution of singularities (algebro-geometric aspects), Embeddings in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Modifications; resolution of singularities (complex-analytic aspects) On a question of B. Teissier | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system positive semidefinite elements; sums of squares; real spectrum; singularities; excellent henselian ring; dimension 2; completion Semialgebraic sets and related spaces, Sums of squares and representations by other particular quadratic forms, Quadratic forms over local rings and fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Formal power series rings, Excellent rings, Analytic algebras and generalizations, preparation theorems Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Castelnuovo-Mumford regularity; generalized Cohen-Macaulay modules; standard system of parameters; Buchsbaum ring Hoa, Lê Tuân; Miyazaki, Chikashi, Bounds on Castelnuovo--Mumford regularity for generalized Cohen--Macaulay graded rings, Math. Ann., 301, 3, 587-598, (1995) Local cohomology and commutative rings, Local cohomology and algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system symplectic manifold; Poisson bracket; singularities; resolution of singularities Kaledin, D., \textit{symplectic singularities from the Poisson point of view}, J. reine angew. Math., 600, 135-156, (2006) Poisson manifolds; Poisson groupoids and algebroids, Global theory and resolution of singularities (algebro-geometric aspects) Symplectic singularities from the Poisson point of view | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system automorphic forms; Hodge theory; arithmetic subgroup of special linear 2- group; cusps; cusp cohomology; Eisenstein series; Fourier-Eisenstein transform W. CASSELMAN , Automorphic forms and a Hodge theory for congruence subgroups of SL2(\Bbb Z) In (Lie group representations II, Vol. 1041 of Lecture Notes in Mathematics, pp. 103-140. Springer, 1984 ). MR 86f:22012 | Zbl 0534.32014 Automorphic forms in several complex variables, Coverings of curves, fundamental group, Theta series; Weil representation; theta correspondences, Compact Riemann surfaces and uniformization, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Automorphic forms and a Hodge theory for congruence subgroups of \(SL_ 2({\mathbb{Z}})\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system determinantal variety; classification of Cremona transformations; systems of quadrics through Severi varieties; quintic elliptic scroll Ein L. and Shepherd-Barron N., Some special Cremona transformations, Amer. J. Math. 111 (1989), 783-800. Birational automorphisms, Cremona group and generalizations, Rational and birational maps Some special 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 equisingular strata; families of curves [Sh4] Shustin, E.: Geometry of equisingular families of plane algebraic curves. J. Algebr. Geom.5, 209--234 (1996). Families, moduli of curves (algebraic), Singularities of curves, local rings Geometry of equisingular families of plane algebraic curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Cremona group; group of birational automorphisms of a quadric; system of defining relations Iskovskikh, Proof of a theorem on relations in a two-dimensional Cremona group, Uspekhi Mat. Nauk 40 pp 255-- (1985) Birational automorphisms, Cremona group and generalizations, Special surfaces Proof of a theorem on relations in the two-dimensional 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 Dynkin graphs; minimal resolution of a normal quartic surface; classification of singularities of plane sextics; classification of singular quartic surfaces Urabe, T.: Singularities in a certain class of quartic surfaces and sextic curves and Dynkin graphs. Proc. 1984 Vancouver Conf. Alg. Geom., CMS Conf. Proc.6, 477-497 (1986) Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings, Singularities in algebraic geometry Singularities in a certain class of quartic surfaces and sextic curves and Dynkin graphs | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system generalized Riemann hypothesis for imaginary quadratic fields; point of complex multiplication B. Edixhoven, Special points on the product of two modular curves, Compos. Math. 114 (1998), no. 3, 315-328. Modular and Shimura varieties, Complex multiplication and abelian varieties, Modular correspondences, etc., Arithmetic aspects of modular and Shimura varieties Special points on the product of two modular 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 moduli spaces of linear control systems; piecewise continuous forms Canonical structure, Minimal systems representations, Linear systems in control theory, Families, moduli, classification: algebraic theory, Controllability, Algebraic methods Minimal cellular parametrizations and moduli for linear dynamical 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 preordering; quadratic module; moment problem; Borel measure; linear functional M. Marshall, \textit{Approximating positive polynomials using sums of squares}, Canad. Math. Bull., 46 (2003), pp. 400--418. Semialgebraic sets and related spaces, Moment problems, Real algebra Approximating positive polynomials using sums of squares | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system limit linear series; higher Picard group; higher Jacobian; complex curve; isomorphism classes of line bundles of degree \(d\); Albanese variety; moduli space of pointed curves Ciro Ciliberto, Joe Harris, and Montserrat Teixidor i Bigas, On the endomorphisms of \?\?\?(\?\textonesuperior _{\?}(\?)) when \?=1 and \? has general moduli, Classification of irregular varieties (Trento, 1990) Lecture Notes in Math., vol. 1515, Springer, Berlin, 1992, pp. 41 -- 67. Jacobians, Prym varieties, Families, moduli of curves (algebraic), Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves On the endomorphisms of \(\text{Jac}(W_ d^ 1(C))\) when \(\rho=1\) and \(C\) has general moduli | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; symplectic manifold; derived category; Poisson structure; quantized algebra; Frobenius endomorphism D. Kaledin, ''Derived equivalences by quantization,'' Geom. Funct. Anal., vol. 17, iss. 6, pp. 1968-2004, 2008. Global theory and resolution of singularities (algebro-geometric aspects), Poisson manifolds; Poisson groupoids and algebroids, Deformation quantization, star products, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure Derived equivalences by 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 deformation; exceptional divisor; \(D_ n\); \(E_ n\); 3-dimensional singularities; vanishing theorems; local moduli of the exceptional loci; canonical resolution; \(A_ n\) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Some properties of the canonical resolutions of the 3-dimensional singularities \(A_ n\), \(D_ n\), \(E_ n\) over a field of characteristic \(\neq 2\) | 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 finite field; family of varieties; monodromy; quadratic excess; genus-\(g\)-curves; degree-\(d\) hypersurfaces; geometric monodromy group; Frobenius-Schur indicator; family of higher-dimensional varieties; Deligne equidistribution theorem Katz, N.: Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. Finite Fields Appl. \textbf{7}(1), 45-69 (2001). (Dedicated to Professor Chao Ko on the occasion of his 90th birthday) Curves over finite and local fields, Arithmetic ground fields (finite, local, global) and families or fibrations, Structure of families (Picard-Lefschetz, monodromy, etc.) Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 variety; compatible system of semistable Galois representations; Weil-Deligne group; \((\varphi; N)\)-module Arithmetic ground fields for abelian varieties, \(p\)-adic cohomology, crystalline cohomology, Abelian varieties of dimension \(> 1\) The \(p\)-adic representation of the Weil-Deligne group associated to an abelian 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 Deligne conjecture; lisse sheaf; \(\ell\)-adic representation; independence of \(\ell\); Langlands conjecture; local system; arithmetic scheme; Hilbert irreducibility; weakly motivic Drinfeld, V., On a conjecture of Deligne, Moscow Math. J., 12, 515-542, (2012) Finite ground fields in algebraic geometry, Varieties over global fields On a conjecture of Deligne | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system total positivity; varieties of Borel subgroups; reductive linear algebraic groups; Weyl groups; flag varieties; real algebraic morphisms K. Rietsch, An algebraic cell decomposition of the nonnegative part of a ag variety, J. Algebra 213 (1999), 144--154. Linear algebraic groups over the reals, the complexes, the quaternions, Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds An algebraic cell decomposition of the nonnegative part of a flag 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 embedded Nash problem; resolution of singularities; toric geometry Global theory and resolution of singularities (algebro-geometric aspects), Arcs and motivic integration, Toric varieties, Newton polyhedra, Okounkov bodies Jet schemes and minimal toric embedded resolutions of rational double point 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 Fano-Mori fibre space; Fano variety; maximal singularity; birational map; linear system Fano varieties, Rational and birational maps, Coverings in algebraic geometry, Rationally connected varieties Birational geometry of algebraic varieties fibred into Fano double 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 thick points; homogeneous quadratic forms; nets of quadrics; one parameter family of singularities; versal deformation Deformations of singularities, Pencils, nets, webs in algebraic geometry, Formal methods and deformations in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Singularities in algebraic geometry Deformation dicker Punkte und Netze von Quadriken. (Deformation of thick points and nets 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 Newton-Okounkov body; linear system; big divisor; positivity; local positivity; algebraic geometry; algebraic surface Roé, Joaquim, Local positivity in terms of Newton--Okounkov bodies, (2015) Divisors, linear systems, invertible sheaves, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) Local positivity in terms of Newton-Okounkov bodies | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system weight distribution; zeta functions; optimal minimum distance; maximal number of rational points; linear codes Koornwinder T.H.: Special functions and \(q\)-commuting variables. In: Special Functions. \(q\)-Series and Related Topics, Fields Institute Communications, pp. 109-136. American Mathematical Society, Rhode Island (1997). Linear codes (general theory), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Other Dirichlet series and zeta functions, Rational points From weight enumerators to zeta 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 algebraic differential 2 forms; geometric genus; arithmetic genus; characteristic linear series; irregularity of an algebraic surface; adjunction F. Bardelli, On the origins of the concept of irregularity of an algebraic surface, in (Brigaglia, Ciliberto, Sernesi, 1994), pp. 11--26. History of algebraic geometry, History of mathematics in the 19th century, Surfaces and higher-dimensional varieties On the origins of the concept of irregularity of an algebraic surface | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system supergeometry; ringed spaces; functors of points; linear group actions Supermanifolds and graded manifolds, Analysis on supermanifolds or graded manifolds, Noncommutative algebraic geometry, Group actions on varieties or schemes (quotients), Formal power series rings, Noncommutative local and semilocal rings, perfect rings, Superalgebras Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system surface singularity; double point; resolution of singularity; fundamental cycle; fiber cycle A. Calabri - R. Ferraro, Explicit resolutions of double point singularities of surfaces, Collect. Math. 53 (2002), 99--131. Singularities of surfaces or higher-dimensional varieties, Complex surface and hypersurface singularities, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Explicit resolutions of double point singularities of 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 Galois group; resolution of singularities; local fundamental groups of algebraic varieties Abhyankar S S, Local fundamental groups of algebraic varieties,Proc. Am. Math. Soc. 125 (1997) 1635--1641 Separable extensions, Galois theory, Coverings of curves, fundamental group, Simple groups: alternating groups and groups of Lie type, Extensions, wreath products, and other compositions of groups Local fundamental groups 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 Brill-Noether curve; limit linear series; genus; chains of elliptic curves Castorena, A.; López Martín, A.; Teixidor i Bigas, M., Invariants of the brill-Noether curve, Adv. geom., 17, 1, 39-52, (2017) Vector bundles on curves and their moduli, Special divisors on curves (gonality, Brill-Noether theory) Invariants of the Brill-Noether 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 equisingular families of plane curves; curves on surfaces; real algebraic geometry; plane curve singularities Gert-Martin Greuel and Eugenii Shustin, Geometry of equisingular families of curves, Singularity theory (Liverpool, 1996) London Math. Soc. Lecture Note Ser., vol. 263, Cambridge Univ. Press, Cambridge, 1999, pp. xvi, 79 -- 108. Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic), Plane and space curves, Topology of real algebraic varieties Geometry of equisingular families of curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear series on 4-gonal curves; gonality of a curve; stratification of the moduli space; Brill-Noether-theory \textsc{M. Coppens, } Linear series on \(4\)-gonal curves, Math. Nachr. \textbf{213} (2000), 35-55. Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus Linear series on 4-gonal curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system injective endomorphism of algebraic variety; automorphism; schemes; birational transformations Nowak N., Math. Ann 299 pp 769-- (1994) Automorphisms of curves, Rational and birational maps, Varieties and morphisms, Schemes and morphisms Injective endomorphisms 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 regularity of linear systems of plane curves; fat points Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic) Linear systems of plane curves through fixed ``fat'' points of \({\mathbb{P}}^ 2\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algorithm; resolution of singularities Computational aspects of higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects) On good points and a new canonical algorithm of 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 adjoint linear system; nef divisor; big divisor; birational map; Riemann- Roch theorem; Miyaoka's inequality; threefolds; fourfolds Divisors, linear systems, invertible sheaves, \(3\)-folds, \(4\)-folds On the adjoint linear 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 homological conjectures; maximal Cohen-Macaulay complex; multiplier ideal; resolution of singularities Syzygies, resolutions, complexes and commutative rings, Homological conjectures (intersection theorems) in commutative ring theory, Local cohomology and commutative rings, Global theory and resolution of singularities (algebro-geometric aspects), Multiplier ideals Maximal Cohen-Macaulay complexes and their uses: a partial 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 affine space; mapping; isomorphism; system of coordinates; module Polynomial rings and ideals; rings of integer-valued polynomials, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Affine systems of coordinates in an affine space over a module | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system irreducible complex affine algebraic varieties; linear differential operators; classification of curves; differential isomorphisms; framed curves; adelic Grassmannian; coherent sheaves; Weyl algebras Yu. Berest, G. Wilson, \textit{Differential isomorphism and equivalence of algebraic varieties}, in: \textit{Topology, Geometry and Quantum Field Theory} (Ed. U. Tillmann), London Math. Soc. Lecture Note Ser., Vol. 308, Cambridge Univ. Press, Cambridge, 2004, pp. 98-126. Rings of differential operators (associative algebraic aspects), Commutative rings of differential operators and their modules, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules Differential isomorphism and equivalence 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 local Milnor fibre; polar construction; resolution of singularities Singularities in algebraic geometry, Local complex singularities, Milnor fibration; relations with knot theory Invariants of a desingularization and singularities of morphisms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjoint linear system; vanishing theorem; Fujita conjecture Heier G.: Effective freeness of adjoint line bundles. Doc. Math. 7, 31--42 (2002) Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry, Singularities in algebraic geometry Effective freeness of adjoint 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 characteristic map; dominant map; linear subspace; \(\mathcal G\mathcal L_n\)-invariant set of matrices; rank variety SKRZYŃSKI M.: Irreducible algebraic sets of matrices with dominant restriction of the characteristic map. Math. Bohem. 128 (2003), 91-101. Eigenvalues, singular values, and eigenvectors, Varieties and morphisms Irreducible algebraic sets of matrices with dominant restriction of the characteristic map | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 three terms arithmetic geometric mean; isogeny formula Koike, K; Shiga, H, An extended Gauss AGM and corresponding Picard modular forms, J. Number Theory, 128, 2097-2126, (2008) Other groups and their modular and automorphic forms (several variables), Theta series; Weil representation; theta correspondences, Theta functions and curves; Schottky problem, Appell, Horn and Lauricella functions An extended Gauss AGM and corresponding Picard modular 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 resolutions of points; linear syzygies; strong Castelnuovo Lemma Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) A generalization of the strong Castelnuovo lemma | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system cohomological dimension; local cohomology; system of parameters Ghasemi, G.; Bahmanpour, K.; A'zami, J., Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring, Colloq. math., 137, 263-270, (2014) Local cohomology and commutative rings, Local cohomology and algebraic geometry, Commutative Noetherian rings and modules Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 singularity with linear resolution; Fröberg rings; monoid algebra; Poincaré series; Hilbert series; monoidal homology Homological methods in commutative ring theory, Polynomial rings and ideals; rings of integer-valued polynomials, Singularities in algebraic geometry Monoidal algebraic singularities with linear 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 Moishezon twistor spaces; conic bundles; irreducible real rational curves; discriminant; explicit rationality; connected sums of self-dual manifolds; linear field equations on self-dual spaces F. Campana and B. Kreußler, A conic bundle description of Moishezon twistor spaces without effective divisors of degree one, Math. Z. 229 (1998), no. 1, 137 -- 162. Twistor theory, double fibrations (complex-analytic aspects), Compact complex \(n\)-folds, Divisors, linear systems, invertible sheaves A conic bundle description of Moishezon twistor spaces without effective divisors of degree one | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system obstruction theories; Hodge locus; semi-regularity map; deformation of linear systems; Noether-Lefschetz locus Infinitesimal methods in algebraic geometry, Local cohomology and algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Algebraic cycles, Variation of Hodge structures (algebro-geometric aspects) Local topological obstruction for 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 discriminant quadratic form; weakly distinguished basis; Milnor lattices of hypersurface singularities; Dynkin diagrams; elliptic hypersurface singularities; action of the braid group; bimodular singularities W. Ebeling : Milnor lattices and geometric bases of some special singularities . L'Enseignement Math. 29 (1983) 263-280. Singularities in algebraic geometry, Braid groups; Artin groups, Group actions on varieties or schemes (quotients), Singularities of surfaces or higher-dimensional varieties, Local complex singularities, Complex singularities, Quadratic forms over global rings and fields Milnor lattices and geometric bases of some special singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system arcs; wedges; resolution of singularities; Nash map; essential divisors; uniruled variety M. Lejeune-Jalabert and A. J. Reguera-López, Exceptional divisors which are not uniruled belong to the image of the Nash map, 2008. Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Local complex singularities, Modifications; resolution of singularities (complex-analytic aspects) Exceptional divisors that are not uniruled belong to the image of the Nash map | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 system; sparse system; Descartes' rule of signs Computational real algebraic geometry, Polynomials in real and complex fields: location of zeros (algebraic theorems), Real algebraic sets, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) Optimal Descartes' rule of signs for systems supported on circuits | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system constructivism; Galois theory; factorization of polynomials; splitting field; binary quadratic forms; composition of forms; Newton's polygon; genus; theorem of Riemann-Roch; Sylow's theorems [Edwards 2005] Edwards, H. \textit{Essays in Constructive Mathematics}. Springer-Verlag, New York. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Essays in constructive mathematics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system flatifying blowing-up; maximal Cohen Macaulay module; simultaneous partial resolution; small resolution; rational double point; RDP; matrix factorization; deformation of algebras; deformation of rational singularities; deformations of exceptional module; partial resolution; domination of resolution; contracting curves; strict transform; Wunram module; blowing up Deformations of singularities, Minimal model program (Mori theory, extremal rays), Stacks and moduli problems, McKay correspondence Deformations of rational surface singularities and reflexive modules with an application to flops | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system separation index of a root system; irreducible root system; Weyl group; Weyl chamber; open dual cone; Dynkin diagram Root systems, Simple, semisimple, reductive (super)algebras, Group actions on varieties or schemes (quotients) Separation indices of irreducible root systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system special linear groups; projective linear groups; general linear groups; connected algebraic groups; root systems; universal groups; adjoint groups; unitary groups; conformal symplectic groups; special Clifford groups; reductive groups; Frobenius morphisms; root groups; groups of Lie type DOI: 10.1112/S0024610799008066 Linear algebraic groups over finite fields, Classical groups (algebro-geometric aspects) Simply connected, adjoint and universal groups of Lie 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 arithmetic varieties; Hironaka; resolution of singularities; blowing up; local uniformization V. Cossart, O. Piltant, Resolution of Singularities of Arithmetical Threefolds II. ArXiv e-prints, Dec. 2014. Valuations and their generalizations for commutative rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Resolution of singularities of threefolds in mixed characteristic: case of small multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hironaka resolution of singularities; blowing up H.HAUSER,\textit{The Hironaka theorem on resolution of singularities (or: A proof we always wanted to} \textit{understand)}, Bull. Amer. Math. Soc. (N.S.) 40 (2003), no. 3, 323--403.http://dx.doi.org/ 10.1090/S0273-0979-03-00982-0.MR1978567 Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Local complex singularities, Invariants of analytic local rings, Modifications; resolution of singularities (complex-analytic aspects) The Hironaka theorem on resolution of singularities (or: A proof we always wanted to understand) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Verlinde's formulas; dimension of cohomology group; moduli space; Picard groups Szenes, A.: Verification of verlinde's formulas for \(SU(2)\). Int. math. Res. notices 7, 93-163 (1991) Families, moduli of curves (algebraic) Verification of Verlinde's formulas for SU(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 toric variety; Stone-Weierstrass theorem; spaces of toric morphisms; simplicial resolution J. Mostovoy and E. Munguia-Villanueva, Spaces of morphisms from a projective space to a toric variety, preprint, arXiv: arXiv: arXiv:1210.2795 Toric varieties, Newton polyhedra, Okounkov bodies, Manifolds of mappings Spaces of morphisms from a projective space to a toric 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 evaluation codes; plane valuations; Hamburger-Noether expansions; semigroups at infinitey; resolution of singularities Other types of codes, Applications to coding theory and cryptography of arithmetic geometry, Valuations and their generalizations for commutative rings Evaluation codes and plane valuations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system effective Nullstellensatz; geometric degree of the system of equations; Hilbert function M. Sombra, ''Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz,'' \textit{J. Pure Appl. Algebra}, \textbf{117/118}, 565-599 (1996). Relevant commutative algebra, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hilbert function; unions of linear spaces; zero-dimensional scheme Projective techniques in algebraic geometry Postulation of general unions of lines, a linear space and planar length 3 subschemes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system flasque tori; flasque resolution of tori; restriction map in flat cohomology; finite étale cover of integral regular semi-local rings; lifting problem for abelian extensions; Brauer group; generic matrices Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques, Principal homogeneous spaces under flasque tori: applications, J. Algebra, 106, 1, 148-205, (1987) Étale and other Grothendieck topologies and (co)homologies, Homogeneous spaces and generalizations, Extension theory of commutative rings, Group actions on varieties or schemes (quotients), Cohomology theory for linear algebraic groups Principal homogeneous spaces under flasque tori; 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 parabolic curve; asymptotic fields of lines; real algebraic surfaces; quadratic differential forms Affine differential geometry, Surfaces in Euclidean and related spaces, Real algebraic sets, Enumerative problems (combinatorial problems) in algebraic geometry, Implicit functional-differential equations, Nonlinear differential equations in abstract spaces On the geometric structure of certain real algebraic surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; logarithmic geometry; algebraic stacks Global theory and resolution of singularities (algebro-geometric aspects), Generalizations (algebraic spaces, stacks), Logarithmic algebraic geometry, log schemes Principalization of ideals on toroidal orbifolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system cryptanalysis; multilinear map; integer matrix; linear system Diagonalization, Jordan forms, Linear equations (linear algebraic aspects), Inverse problems in linear algebra, Algebraic coding theory; cryptography (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry Simultaneous diagonalization of incomplete matrices 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 two dimensional global fields; algebraic function field in one; variable over algebraic number field; Galois cohomology group; \(H^ 3\); Hasse principles; local-global principles; reduced norms; division algebras; quadratic forms; sum of squares K.~Kato, {A {H}asse principle for two dimensional global fields. With an appendix by {J}.-{L} {C}olliot-{T}hélène.}, J. Reine Angew. Math. {366} (1986), 142--180. DOI 10.1515/crll.1986.366.142; zbl 0576.12012; MR0833016 Galois cohomology, Brauer groups of schemes, Quadratic forms over global rings and fields, Galois cohomology, Quaternion and other division algebras: arithmetic, zeta functions, Waring's problem and variants, Arithmetic theory of algebraic function fields A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system annihilator; anticyclotomic \(\mathbb{Z}_ p\)-extension of an imaginary quadratic field; modular elliptic curve; Heegner points; Selmer group; Iwasawa theory M. Bertolini , An annihilator for the p-Selmer group by means of Heegner points . Atti Acc. Naz. Lincei, Classe di Sc. Fis., Mat. e Nat., Rendiconti Lincei, Mat. e Appl. , Serie 9 , Vol. 5 , Fasc. 2 ( 1994 ), 129 - 140 . MR 1292568 | Zbl 0853.11049 Elliptic curves over global fields, Arithmetic ground fields for curves, Iwasawa theory, Arithmetic aspects of modular and Shimura varieties, Global ground fields in algebraic geometry An annihilator for the \(p\)-Selmer group by means of Heegner 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 survey; module categories over finite-dimensional algebras; representation theory of tame algebras; tameness; wildness; quivers; Galois coverings; Auslander-Reiten quivers; component quivers; affine varieties of modules; degenerations of algebras; finite-dimensional modules; integral quadratic forms; representation types; tame quasitilted algebras; tame simply connected algebras Representation type (finite, tame, wild, etc.) of associative algebras, Representations of quivers and partially ordered sets, Group actions on varieties or schemes (quotients), Quadratic and bilinear forms, inner products, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Torsion theories; radicals on module categories (associative algebraic aspects), Homological dimension (category-theoretic aspects), Module categories in associative algebras Tame module categories of finite dimensional algebras | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system gap vectors; nonnegative quadratic forms; sums of squares G. Blekherman, S. Iliman, M. Junhke-Kubitzke, and M. Velasco, \textit{Gap vectors of real projective varieties}, Adv. Math., 283 (2015), pp. 458--472. Real algebraic sets, Special varieties, General convexity Gap vectors of real projective varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system K3 surface; resolution of singularities; Prym variety; lattice of transcendental cycles; Kuga-Satake-Deligne correspondence Bonfanti, M.: On the cohomology of regular surfaces isogenous to a product of curves with \(\chi ({\mathcal O}_S)=2\). arXiv:1512.03168v1 Picard schemes, higher Jacobians, \(K3\) surfaces and Enriques surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Elliptic curves, Algebraic cycles Abelian varieties associated to certain K3 surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hyperplane arrangement; local system; vanishing of cohomology groups; Brieskorn-Orlik-Solomon algebra; deRham cohomology S. Yuzvinsky, Cohomology of Brieskom-Orlik-Solomon algebras, Comm. Algebra23 (1995) 5339--5354. Vanishing theorems, de Rham cohomology and algebraic geometry, Analytic sheaves and cohomology groups Cohomology of the Brieskorn-Orlik-Solomon algebras | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system instantons; moduli spaces of sheaves and curves; Cremona transformations Perrin, N, Deux composantes du bord de \(I_3\), Bull. Soc. Math. Fr., 130, 537-572, (2002) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles Two components of the boundary of \(\text \textbf{I}_3\). (Deux composantes du bord de \(\text \textbf{I}_3\)) | 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 quantum cohomology; Calabi-Yau orbifold; crepant Resolution conjecture; quantum \(D\)-module; Dubrovin connection; Frobenius manifold; integral local system; \(K\)-theory; Hard Lefschetz condition Iritani, H.: \textit{tt}\^{}\{*\}-geometry in quantum cohomology. arXiv:0906.1307v1[math D6] Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, String and superstring theories in gravitational theory Ruan's conjecture and integral structures in quantum cohomology | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system ample Cartier divisor; pseudo effective divisor; anti-Kodaira dimension; rational surface; isolated rational singularities; minimal resolution; Zariski decomposition of divisors; dimension formula; anti-genus Sakai, F, Anticanonical models of rational surfaces, Math. Ann., 269, 389-410, (1984) Families, moduli, classification: algebraic theory, Special surfaces, Rational and unirational varieties, Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties Anticanonical models of 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 singular fiber; adjoint linear system; non-compact Jacobian Yu, F, Note on families of semistable curves over \({\mathbb{P}}^1\) with 4 singular fibers whose Jacobian are non-compact, Sci. China, 53, 1711-1714, (2010) Families, moduli, classification: algebraic theory, Rational and ruled surfaces Note on families of semistable curves over \(\mathbb P^{1}\) with 4 singular fibers whose Jacobian are non-compact | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system modular Springer theory; Schur algebras; Schur functors; Schur-Weyl duality; perverse sheaves; nilpotent cones; affine Grassmannians; categories of polynomial representations; general linear groups; representations of symmetric groups Mautner, C., A geometric Schur functor, Selecta Math. (N.S.), 20, 4, 961-977, (2014) Schur and \(q\)-Schur algebras, Representation theory for linear algebraic groups, Coadjoint orbits; nilpotent varieties, Representations of finite symmetric groups A geometric Schur functor. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Koszul cohomology; duality theorem; vanishing theorems; Lefschetz theorems; image of a complex manifold; embedding; minimal free resolution of the ideal of the embedding of a smooth curve; Arbarello-Sernesi module; local Torelli theorems M. Green, Koszul cohomology and the cohomology of projective varieties, J. Differential Geom. 19 (1984), 125-171. (Co)homology theory in algebraic geometry, Analytic sheaves and cohomology groups, Complex manifolds, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Transcendental methods, Hodge theory (algebro-geometric aspects), Vanishing theorems Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 spaces of matrices; Hermitian matrices; symmetric matrices; maximal dimensions; ranks Algebraic systems of matrices, Finite fields (field-theoretic aspects), Projective techniques in algebraic geometry, Hermitian, skew-Hermitian, and related matrices, Matrices over special rings (quaternions, finite fields, etc.) Linear spaces of matrices, symmetric matrices or Hermitian matrices with a fixed rank over a finite 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 toroidal compactification; moduli of abelian varieties; quadratic form; matroid; Torelli; Voronoi M. Melo and F. Viviani, Comparing perfect and 2nd Voronoi decompositions: The matroidal locus, Math. Ann. 354 (2012), no. 4, 1521-1554. Abelian varieties of dimension \(> 1\), Quadratic forms (reduction theory, extreme forms, etc.), Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Theta functions and curves; Schottky problem Comparing perfect and 2nd Voronoi decompositions: the matroidal locus | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hirzebruch surfaces; distribution of rational points; minimal models of rational surfaces; Batyrev-Manin conjectures; asymptotic formulas; bounded height; exceptional curves; accumulating subvarieties Billard, H, Répartition des points rationnels des surfaces géométriquement réglées rationnelles, Astérisque, 251, 79-89, (1998) Varieties over global fields, Rational points, Global ground fields in algebraic geometry, Rational and ruled surfaces Distribution of rational points of rational geometrically ruled 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 Birch-Swinnerton-Dyer conjecture; sums of squares; class number problem; imaginary quadratic fields; Gauss' conjecture; modular elliptic curve; Hasse-Weil L-function; class-number-one problem \BibAuthorsD. Goldfeld, Gauss' class number problem for imaginary quadratic fields, Bull. Amer. Math. Soc. 13 (1) (1985), 23--37. Class numbers, class groups, discriminants, Quadratic extensions, Algebraic number theory computations, Elliptic curves over global fields, History of mathematics in the 18th century, History of number theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Holomorphic modular forms of integral weight Gauss' class number problem for imaginary quadratic 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 gauged linear sigma model; disc invariants; Gromov-Witten invariants; mirror symmetry; open string; charge vectors; Picard-Fuchs system Ke, H.-Z., Zhou, J.: Gauged linear sigma model for disc invariants. \textit{Lett. Math. Phys.}, accepted Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects) Gauged linear sigma model for disc 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 dimensions of linear systems; line bundle; Riemann-Roch problem; effective divisor S. D. Cutkosky and V. Srinivas, On a problem of Zariski on dimensions of linear systems , Ann. of Math. (2) 137 (1993), 531-559. JSTOR: Divisors, linear systems, invertible sheaves, Riemann-Roch theorems On a problem of Zariski on dimensions of linear systems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system cubic forms; system; smooth variety; asymptotic; Birch; linear growth; Hasse principle; circle method; bilinear form; inequality; many variables Applications of the Hardy-Littlewood method, Counting solutions of Diophantine equations, Diophantine equations in many variables, Diophantine inequalities, Cubic and quartic Diophantine equations, Rational points Systems of cubic forms in many 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 tropical algebra; tropical geometry; tropicalization; Puiseux series; valuation; tangible; metatangible; negation map; triple; system; symmetrization; congruence; hyperfield; fuzzy ring; exploded algebra; ELT algebra; polynomial; tensor product; linear algebra; matrix; Lie algebra; superalgebra; Grassmann algebra; exterior algebra; supertropical algebra; semigroup; monoid; module; semiring; semifield; surpassing relation Foundations of tropical geometry and relations with algebra, Semirings, Fuzzy algebraic structures, Semifields, Hypergroups Algebras with a negation map | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Castelnuovo-Mumford regularity; linear resolution Varieties of low degree, Syzygies, resolutions, complexes and commutative rings On \(3\)-linear varieties of codimension \(2\) | 0 |
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