text stringlengths 209 2.82k | label int64 0 1 |
|---|---|
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 endomorphism; zeros of a polynomial map; real-closed field; quadratic form Real and complex fields, Real-analytic and semi-analytic sets, Forms over real fields On the estimation of the root number of a polynomial endomorphism over an \(\overline R\)-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 equianalytic families of curves; equisingular families of curves Lossen , C. ( 1998 ) . The geometry of equisingular and equianalytic families of curves on a surface . Ph.D. thesis, FB Mathematik, Universität Kaiserslautern. http://www.mathematik.uni-kl.de/lossen/download/Lossen002/Lossen002.ps.gz . Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Surfaces and higher-dimensional varieties, Families, moduli of curves (algebraic) The geometry of equisingular and equianalytic families of curves on a 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 quadratic forms; intersection; sums of two squares; circle method; asymptotic; Kloosterman refinement Counting solutions of Diophantine equations, Diophantine equations in many variables, Quadratic and bilinear Diophantine equations, Additive number theory; partitions, Rational points, Quadratic forms over global rings and fields Pairs of diagonal quadratic forms and linear correlations among sums of two 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 function fields; finite fields; hyperelliptic curves; lower bounds for moments; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Andrade, J. C.: Rudnick and soundararajan's theorem for function fields. Finite fields appl. 37, 311-327 (2016) Zeta and \(L\)-functions in characteristic \(p\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Rudnick and Soundararajan's theorem for function 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 real algebraic sets; topological resolution of singularities; blowing- downs; P. L. manifolds; topological resolution tower Selman Akbulut and Henry King, The topology of real algebraic sets, Knots, braids and singularities (Plans-sur-Bex, 1982) Monogr. Enseign. Math., vol. 31, Enseignement Math., Geneva, 1983, pp. 7 -- 47. Selman Akbulut and Henry King, The topology of real algebraic sets, Enseign. Math. (2) 29 (1983), no. 3-4, 221 -- 261. Real algebraic and real-analytic geometry, Real-analytic and Nash manifolds, Stratifications in topological manifolds, PL-topology, Characteristic classes and numbers in differential topology The topology of real algebraic sets | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system simple linear algebraic group; 2-regular unipotents; variety of Borel subgroups; simple roots; irreducible components; Springer representation; Weyl group Linear algebraic groups over arbitrary fields, Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects), Cohomology theory for linear algebraic groups, Group actions on varieties or schemes (quotients) Borel subgroups containing a fixed 2-regular unipotent. (Thesis) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system multiplicative structure; skew fields over number fields; Hasse; norm principle; algebraic group; group of rational points; quadratic forms; Skolem-Noether theorem; algebra of quaternions; class field theory; direct subgroup; Spin(f); SL(1,D); trace Platonov V P and Rapinchuk A S, Proceedings of Steklov Institute of Math. 1985, Issue 3 Quaternion and other division algebras: arithmetic, zeta functions, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Linear algebraic groups over global fields and their integers, Class field theory, Algebras and orders, and their zeta functions, Rational points The multiplicative structure of division rings over number fields and the Hasse norm principle | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system group action; \(K\)-theory; derived category; quotient variety; resolution of singularity; motivic integration; McKay correspondence; Hilbert schemes of \(G\)-orbits; crepant resolution; discrepancy divisor; Klein quotient singularity Reid, Miles, La correspondance de McKay, Astérisque, 276, 53-72, (2002) Global theory and resolution of singularities (algebro-geometric aspects), Linear algebraic groups over arbitrary fields, Homogeneous spaces and generalizations McKay's correspondence | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Principle of assignment; algebraic forms; relation of conjugation; binary forms; theorems; odd degree; power of linear factors; curves of \(n^th\) order; connection lines; researches Axiomatics of classical set theory and its fragments, Forms over real fields, Algebraic functions and function fields in algebraic geometry, Relational systems, laws of composition, General binary quadratic forms, Forms of degree higher than two, Classical propositional logic, Power series rings, Plane and space curves, \(n\)-dimensional polytopes About a principle of attributing algebraic 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 projective transformations; geometric transformations; derivations; inversion; conic transformation; quadratic transformation; quadric inversion; Schiaparelli; Hirst; Cremona History of mathematics in the 19th century, History of geometry, Linear incidence geometric structures with parallelism, Configurations and arrangements of linear subspaces, Research exposition (monographs, survey articles) pertaining to linear algebra, History of linear algebra, Basic linear algebra Giusto Bellavitis and its `Geometria di Derivazione' | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system connected reductive linear algebraic groups; maximal tori; Borel subgroups; Weyl groups; numbers of connected components; Euler characteristic; compactly supported cohomology Rietsch, K.: Intersections of Bruhat cells in real flag varieties. Int. Math. Res. Not. 13, 623--640 (1997) Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Cohomology theory for linear algebraic groups Intersections of Bruhat cells in real flag varieties. Appendix by G. Lusztig | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system monodromy; hypersurface singularity; germ of a holomorphic function; zeta function; Euler characteristic; Milnor fiber; resolution of singularities Deligne, P.: Théorie de Hodge. III, Inst. Hautes Études Sci. Publ. Math., vol. 44, pp. 5-77 (1974) Complex surface and hypersurface singularities, Modifications; resolution of singularities (complex-analytic aspects), Singularities in algebraic geometry Partial resolutions and the zeta-function of a singularity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system semisimple Lie algebras; conjugacy of embeddings; invariants of sets of elements in Lie algebras I.V. Losev, On invariants of a set of elements of a semisimple Lie algebra, submitted to J. Lie Theory. Simple, semisimple, reductive (super)algebras, Group actions on affine varieties, Group actions on varieties or schemes (quotients), Actions of groups and semigroups; invariant theory (associative rings and algebras) On invariants of a set of elements of a semisimple Lie algebra | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system elliptic curve of rank 12; isogeny; canonical height; independent points; class group; Selmer groups; imaginary quadratic fields of 3-rank 6 Jordi Quer, Corps quadratiques de 3-rang 6 et courbes elliptiques de rang 12, C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 6, 215 -- 218 (French, with English summary). Special algebraic curves and curves of low genus, Quadratic extensions, Iwasawa theory, Elliptic curves, Arithmetic ground fields for abelian varieties Corps quadratiques de 3-rang 6 et courbes elliptiques de rang 12. (Quadratic fields with 3-rank 6 and elliptic curves with rank 12) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Selmer groups; quadratic twists of elliptic curves Elliptic curves over global fields, Rational points Selmer groups of twists of elliptic curves over \(K\) with \(K\)-rational torsion 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 action of linear algebraic group; homogeneous hypersurface Akhiezer, D.: Algebraic groups transitive in the complement of a homogeneous hypersurface. Trans. Moscow math. Soc. 48, 83-103 (1986) Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations Algebraic groups transitive in the complement of a homogeneous hypersurface | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 fields; special values of \(L\)-functions; modular forms Villegas, Fernando Rodriguez and Zagier, Don, Square roots of central values of {H}ecke {\(L\)}-series, Advances in Number Theory ({K}ingston, {ON}, 1991), Oxford Sci. Publ., 81-99, (1993), Oxford University Press, New York Zeta functions and \(L\)-functions of number fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Forms of half-integer weight; nonholomorphic modular forms Square roots of central values of Hecke \(L\)-series | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system plane curves; rigid curves; equisingular families of curves Kulikov, Vi.k S.; Shustin, E., On rigid plane curves, Eur. J. Math., 2, 208-226, (2016) Families, moduli of curves (algebraic), Singularities of curves, local rings, Plane and space curves On rigid plane curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system integrable system; separation of variables; Bäcklund transformation; arithmetic of divisors Tsiganov, A. V., Bäcklund transformations and divisor doubling, J. Geom. Phys., 126, 148-158, (2018) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Relationships between algebraic curves and integrable systems, Integrable cases of motion in rigid body dynamics, Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics Bäcklund transformations and divisor doubling | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(q\)-Painlevé system of type \(E^{(1)}_7\); \(q\)-Garnier system; Padé method; \(q\)-hypergeometric function Relationships between algebraic curves and integrable systems, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Other basic hypergeometric functions and integrals in several variables, Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Difference equations, scaling (\(q\)-differences), Padé approximation A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\) | 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 maximal Cohen-Macaulay modules; deformations; system of parameters Pfister G., Math. Z 223 pp 309-- (1996) Cohen-Macaulay modules, Grothendieck groups, \(K\)-theory and commutative rings, Formal methods and deformations in algebraic geometry Deformations of maximal Cohen-Macaulay modules | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system eta-quotients; binary quadratic forms; theta series; multiplicative functions; Hecke operators; dissections of \(q\)-series Berkovich, A.; Patane, F., Binary quadratic forms and Fourier coefficients of certain weight 1 eta-quotients, J. Number Theory, 135, 185-220, (2014) Binomial coefficients; factorials; \(q\)-identities, Theta series; Weil representation; theta correspondences, General binary quadratic forms, General ternary and quaternary quadratic forms; forms of more than two variables, Theta functions and abelian varieties Binary quadratic forms and the Fourier coefficients of certain weight 1 \(\eta\)-quotients | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 hypersurface singularities; Maple V; algorithm Gábor Bodnár and Josef Schicho, A computer program for the resolution of singularities, Resolution of singularities (Obergurgl, 1997) Progr. Math., vol. 181, Birkhäuser, Basel, 2000, pp. 231 -- 238. Computational aspects of algebraic surfaces, Symbolic computation and algebraic computation, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Global theory and resolution of singularities (algebro-geometric aspects) A computer program for the 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 simplest cubic field; quadratic twists; elliptic curve; 2-rank; ideal class group; groups of rational points Byeon, Dongho, Quadratic twists of elliptic curves associated to the simplest cubic fields, Proc. Japan Acad. Ser. A Math. Sci., 73, 10, 185-186, (1997) Elliptic curves over global fields, Elliptic curves, Cubic and quartic extensions, Class numbers, class groups, discriminants, Rational points Quadratic twists of elliptic curves associated to the simplest cubic 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 Brieskorn singularities; resolution diagrams of singularities of type (2,q,r); network induction Singularities of surfaces or higher-dimensional varieties, Directed graphs (digraphs), tournaments Network induction and resolution diagrams of the 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 plane curve singularities; equisingularity; proper transform; exceptional curves; resolution of singular points; blow-up; topological equivalence; analytic equivalence Chunghyuk Kang, Topological classification of irreducible plane curve singularities in terms of Weierstrass polynomials, Proc. Amer. Math. Soc. 123 (1995), no. 5, 1363 -- 1371. Equisingularity (topological and analytic), Complex surface and hypersurface singularities, Global theory of complex singularities; cohomological properties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings Topological classification of irreducible plane curve singularities in terms of Weierstrass 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 spark of a matrix; generic determinantal variety; affine algebraic set; irreducible component; dimension; linear capacity SPARK (2014). http://www.spark-2014.org Determinantal varieties, Varieties and morphisms, Vector spaces, linear dependence, rank, lineability A note on spark 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 Hilbert's fourteenth problem; algebra of subfinite type; graded linear series; Newton-Okounkov bodies Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields On subfiniteness of graded linear series | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic curve; algebraic points of small degree; Mordell-Weil group; linear systems Curves of arbitrary genus or genus \(\ne 1\) over global fields, Cubic and quartic Diophantine equations, Rational points, Arithmetic ground fields for curves Algebraic points of small degree on the affine curve \(y^3=x(x-1)(x-2)(x-3)\) | 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 pencil of plane sextics; del Pezzo quintic surface; Cremona transformations van der Geer, G., Howe, E., Lauter, K., Ritzenthaler, C.: Table of curves with many points. http://www.manypoints.org Projective techniques in algebraic geometry, Plane and space curves, Families, moduli of curves (algebraic), Birational automorphisms, Cremona group and generalizations, Singularities of curves, local rings On the geometry of Wiman's sextic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system convex algebraic geometry; sums of squares; Pythagoras number; linear syzygies Real algebraic sets, General convexity, Syzygies, resolutions, complexes and commutative rings Sums of squares and quadratic persistence on 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 algebraic variety; fibration; geometric genus; multiplicity of linear series on surface Fibrations, degenerations in algebraic geometry, Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves The Konno invariant of some 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 Skolem problems; finite extension ring of algebraic integers; existence of a solution of a system of diophantine equations L. \textsc{Moret-Bailly}, Groupes de Picard et problèmes de Skolem. I, II, \textit{Ann. Sci. Éc. Norm. Supér.~(4)}, \textbf{22} (1989), 161-179, 181-194. Global ground fields in algebraic geometry, Dedekind, Prüfer, Krull and Mori rings and their generalizations, Algebraic numbers; rings of algebraic integers, Higher degree equations; Fermat's equation Groupes de Picard et problèmes de Skolem. I. (Picard groups and Skolem problems. I) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system nonhomogeneous quadratic relations; conilpotent coalgebras; Koszul duality; t-structures of derived type; Massey products; quasi-formality; formality; noncommutative homotopy theory; Galois groups; Galois cohomology Quadratic and Koszul algebras, Galois cohomology, (Equivariant) Chow groups and rings; motives, Other (co)homology theories (category-theoretic aspects) Koszulity of cohomology \( = K(\pi,1)\)-Ness + quasi-formality | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 structure; Chevalley-Shephard-Todd; toric stack; stacky fan; resolution of singuarities Matthew Satriano, Canonical Artin stacks over log smooth schemes, Math. Z. 274 (2013), no. 3-4, 779 -- 804. Stacks and moduli problems, Toric varieties, Newton polyhedra, Okounkov bodies Canonical Artin stacks over log smooth 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 resolution of determinantal ideals; characteristic of the base field Roberts, J.; Weyman, J.: A short proof of a theorem of M. Hashimoto. J. algebra 134, No. 1, 144-156 (1990) Linkage, complete intersections and determinantal ideals, Determinantal varieties A short proof of a theorem of M. Hashimoto | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 modular group; resolution of singularities at cusps F.Hirzebruch, The Hilbert Modular group, resolution of the singularities at the cusps and related problems. Sém. Bourbaki, exp. 396 (1971). Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Modifications; resolution of singularities (complex-analytic aspects), Characteristic classes and numbers in differential topology, Special surfaces The Hilbert modular group, resolution of the singularities at the cusps and related problems | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 scrolls; linear system; Euler characteristic; nonsingular; locally free sheaf; Del Pezzo surfaces Divisors, linear systems, invertible sheaves, Special surfaces, Families, moduli, classification: algebraic theory Hypersurfaces in rational scrolls | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of the singularities of algebraic set; p-adic field; Igusa's local zeta function; p-desingularization Zeta functions and \(L\)-functions, Global theory and resolution of singularities (algebro-geometric aspects) Complex powers on \(p\)-adic fields and a 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 abelian variety; compatible system of Galois representations; Weil-Deligne group Noot, R., The system of representations of the Weil-Deligne group associated to an abelian variety, Algebra Num. Theory, 7, 243-281, (2013) Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Étale and other Grothendieck topologies and (co)homologies The system of representations 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 Complex multiplication of abelian varieties; total imaginary quadratic extension of totally real field; class field theory; Frobenius endomorphism; zeta function of abelian variety; Hilbert's 12th problem Shimura, G. and Taniyama, Y. Complex multiplication of abelian varieties and its applications to number theory The Mathematical Society of Japan, Tokyo, 1961 Math Reviews MR0125113 (23 \#A2419) Complex multiplication and moduli of abelian varieties, Research exposition (monographs, survey articles) pertaining to number theory, Abelian varieties of dimension \(> 1\), Complex multiplication and abelian varieties, Other abelian and metabelian extensions, Class field theory Complex multiplication of abelian varieties and its applications to number 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 metric graph; linear system; anchor cell; \(f\)-vector Special divisors on curves (gonality, Brill-Noether theory), Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Symbolic computation and algebraic computation Computing linear systems on metric 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 almost complete intersections; Artinian algebras; general linear forms; linear systems of general points; powers of linear forms; weak Lefschetz property Divisors, linear systems, invertible sheaves, Commutative Artinian rings and modules, finite-dimensional algebras, Linkage, complete intersections and determinantal ideals, Other special types of modules and ideals in commutative rings, Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series On the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system degeneration of linear series on smooth curves; moduli space; Schubert calculus; Kodaira dimension; Weierstrass points D. Eisenbud, J. Harris, Limit linear series: basic theory. \textit{Invent. Math.}\textbf{85} (1986), 337-371. Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Formal methods and deformations in algebraic geometry, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences Limit linear series: Basic 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 algebraic surface; linear system; numerically positive divisor Benveniste, Y.: Mechanics of materials. 3, 349 (1984) Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties On the fixed part of certain linear systems on surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear algebraic group; compactification of a principal homogeneous space; Brauer group Colliot-Thélène, J-L; Kunyavskiĭ, BÈ, Groupe de Brauer non ramifié des espaces principaux homogènes de groupes linéaires, J. Ramanujan Math. Soc., 13, 37-49, (1998) Brauer groups of schemes, Homogeneous spaces and generalizations, Linear algebraic groups over arbitrary fields Non-ramified Brauer group of principal homogeneous spaces of 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 Birch-Swinnerton-Dyer conjecture; twisted elliptic curves; discriminant of a quadratic field \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over global fields, Arithmetic ground fields for curves, Rational points, Elliptic curves, Global ground fields in algebraic geometry, Special algebraic curves and curves of low genus A finiteness criterion for the number of rational points for twisted elliptic Weil 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 commuting pair of linear ordinary differential operators; vector bundle; classifications of the smooth elliptic curves; automorphism group; algebra of differential operators; indecomposable and decomposable bundles E. Previato and G. Wilson, \textit{Differential operators and rank }2 \textit{bundles over elliptic} \textit{curves}. Compositio Math. 81 (1992), no. 1, 107--119. General theory of ordinary differential operators, Vector bundles on curves and their moduli, Elliptic curves, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Differential operators and rank 2 bundles over elliptic 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 zeros of a multivariate polynomial system; Gröbner basis; ideal quotients Möller, H. M., On decomposing systems of polynomial equations with finitely many solutions, Appl. Algebra Eng. Commun. Comput., 4, 4, 217-230, (1993) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of higher-dimensional varieties, Symbolic computation and algebraic computation, Polynomials, factorization in commutative rings On decomposing systems of polynomial equations with finitely many solutions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hermitian symmetric tube domains; Severi varieties; Veronese embedding; Segre embedding; Plücker embedding; embedding of the Cayley projective plane; Fano 4-folds W. L. Baily, Exceptional moduli problems, II: Kodaira's issue , Asian J. Math. 4 (2000), 1-9. Complex-analytic moduli problems, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), \(4\)-folds, Moduli, classification: analytic theory; relations with modular forms Exceptional moduli problems. 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 Korteweg-de Vries dynamical system; theta functions; period matrices of Riemann surfaces; dynamical systems; effective divisors D; Jacobi coordinate; Jacobian variety; hyperelliptic curves; hyperelliptic thetas; Weierstrass'\(\wp P\)-function Mumford, D.: Tata Lectures on Theta II. Birkhäuser, Boston (1984) Theta functions and abelian varieties, Picard schemes, higher Jacobians, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Elliptic functions and integrals, Jacobians, Prym varieties, Relations of PDEs on manifolds with hyperfunctions, Partial differential equations of mathematical physics and other areas of application Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system non-commutative crepant resolution; dimer model; quiver with potential; Gorenstein toric singularity; mutations of dimer models Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies Mutations of splitting maximal modifying modules: the case of reflexive polygons | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; deformation of singularities; strongly pseudoconvex space Deformations of complex singularities; vanishing cycles, Modifications; resolution of singularities (complex-analytic aspects), Pseudoconvex domains, Deformations of complex structures, Complex singularities, Global theory and resolution of singularities (algebro-geometric aspects), Deformations of singularities, Local complex singularities Über zusammenblasbare Deformationen streng pseudokonvexer Räume. (About contracted deformations of strongly pseudoconvex 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 Cremona group; Cremona transformation; quadratic transformations; birational maps D. Cerveau and J. Déserti, Transformations birationnelles de petit degré. Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Varieties of low degree, Projective techniques in algebraic geometry Birational transformations of small 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 Wronski matrix; Wronskian; linear ordinary differential equations; ramification loci of linear systems; complex Grassmanian varieties 8. L. Gatto and I. Scherbak, On generalized Wronskians, in Contributions to Algebraic Geometry, P. Pragacz, ed., Impanga Lecture Notes, EMS Congress Series Report (2012), pp. 257-296, doi: 10.4171/114, http://arxiv.org/pdf/1310.4683v1.pdf. Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Linear ordinary differential equations and systems On generalized Wrońskians | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system enumerative geometry of curves; quantum field theory; Gromov-Witten invariants; torus actions; Feynman diagrams; integrable system; infinite Grassmannians; rational curves; Calabi-Yau manifolds M. Kontsevich, Enumeration of rational curves via torus actions, The moduli space of curves (Texel Island 1994), Progr. Math. 129, Birkhäuser, Boston (1995), 335-368. Enumerative problems (combinatorial problems) in algebraic geometry, Special algebraic curves and curves of low genus, Algebraic moduli problems, moduli of vector bundles, Rational and unirational varieties Enumeration of rational curves via torus 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 symmetric tensor; sums of powers of linear polynomials; Waring problem; Waring rank; open Waring rank Jelisiejew, J.; An upper bound for the Waring rank of a form; Arch. Math.: 2014; Volume 102 ,329-336. Projective techniques in algebraic geometry, Multilinear algebra, tensor calculus, Canonical forms, reductions, classification, Polynomials, factorization in commutative rings, Vector spaces, linear dependence, rank, lineability, Determinants, permanents, traces, other special matrix functions An upper bound for the Waring rank of a form | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system curve of maximal regularity; minimal free resolution W. Lee and E. Park, On the minimal free resolution of curves of maximal regularity. Bull. Korean Math. Soc. 53 (2016), no. 6, 1707-1714. Special algebraic curves and curves of low genus, Syzygies, resolutions, complexes and commutative rings On the minimal free resolution of curves of maximal regularity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system closure of semianalytic subset; rigid analytic variety; resolution of singularities Hans Schoutens, Closure of rigid semianalytic sets, J. Algebra 198 (1997), no. 1, 120 -- 134. Real-analytic and semi-analytic sets, Semi-analytic sets, subanalytic sets, and generalizations, Non-Archimedean analysis, Global theory and resolution of singularities (algebro-geometric aspects) Closure of rigid semianalytic sets | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system real algebraic variety; semi-algebraic set; coordinate ring; quadratic module; Archimedean; positive function; ring of continuous functions Marshall, M, Representations of non-negative polynomials having finitely many zeros, Annales de la faculté des sciences de Toulouse Mathématiques, 15, 599-609, (2006) Real algebra, Semialgebraic sets and related spaces Representations of non-negative polynomials having finitely many zeros | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system classification of anisotropic quadratic spaces General binary quadratic forms, Quadratic forms over general fields, Quadratic and bilinear forms, inner products Anisotropic quadratic spaces over the plane | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system blowing-up; graded Betti numbers; fat points; projective embeddings; resolution of the coordinate ring; embedded rational surface Geramita, A. V.; Gimigliano, A.; Pitteloud, Y., Graded Betti numbers of some embedded rational \textit{n}-folds, Math. Ann., 301, 363-380, (1995) Embeddings in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Rational and unirational varieties, \(n\)-folds (\(n>4\)), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Global theory and resolution of singularities (algebro-geometric aspects) Graded Betti numbers of some embedded rational \(n\)-folds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Heegner points; \(L\)-functions; singular moduli of elliptic curves; discriminants of imaginary quadratic fields Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic ground fields for curves Singular moduli at the Heegener points for general discriminants | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system sequence of Maclaurin coefficients; quadratic recurrence; Sloane's sequence A074059 Goulden, IP; Litsyn, S; Shevelev, V, On a sequence arising in algebraic geometry, J. Integer Seq., 8, 7, (2005) Special sequences and polynomials, Recurrences, Enumerative problems (combinatorial problems) in algebraic geometry, Calculation of integer sequences On a sequence arising in algebraic geometry | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system birational characterization of real projective space; quadratic forms; Witt group; real components of algebraic varieties; unramified cohomology Sujatha, R, Witt groups of real projective surfaces, Math. Ann., 288, 89-101, (1990) Real algebraic sets, Étale and other Grothendieck topologies and (co)homologies, Quadratic forms over global rings and fields, Topological properties in algebraic geometry Witt groups of real projective surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic variety; positive characteristic; resolution of singularities; wild singularity; kangaroo point ,\textit{On the problem of resolution of singularities in positive characteristic (or: a proof we are still} \textit{waiting for)}, Bull. Amer. Math. Soc. (N.S.) 47 (2010), no. 1, 1--30.http://dx.doi.org/10. 1090/S0273-0979-09-01274-9.MR2566444 Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Polynomials in real and complex fields: location of zeros (algebraic theorems), Singularities of surfaces or higher-dimensional varieties On the problem of resolution of singularities in positive characteristic (Or: a proof we are still waiting for) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system improper intersection; multiplicity; analytic sets; normal cone; deformation of an analytic set; linear testing theorem K. Nowak, Analytic improper intersections. II. Deformation to an algebraic bicone and applications, Bull. Pol. Acad. Sci. Math. 48 (2000), no. 2, 131-140. Multiplicity theory and related topics, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Germs of analytic sets, local parametrization, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics Analytic improper intersections. II: Deformation to an algebraic bicone 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 very ample linear system; embeddings Embeddings in algebraic geometry, Projective techniques in algebraic geometry, Classical problems, Schubert calculus, Divisors, linear systems, invertible sheaves An asymptotic very ampleness theorem for blowings-up of smooth varieties at general 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 toroidal resolution of a plane curve; toric blowing ups; Puiseux pair M. Oka: Geometry of plane curves via toroidal resolution ; in Algebraic Geometry and Singularities (La Rábida, 1991), Progr. Math. 134 , Birkhäuser, Basel, 95-121, 1996. Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies Geometry of plane curves via toroidal 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 resolution of singularities; practical point of view Frühbis-Krüger, A.; Pfister, G., Resolve.lib - a {\scsingular} 4-0-2 library for the resolution of singularities, (2005), Singular distribution Computational aspects of algebraic surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Some applications of resolution of singularities from the practical 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 lattice ideals; minimal system of generators; toric varieties Ignacio Ojeda Martínez de Castilla, Examples of generic lattice ideals of codimension 3, Comm. Algebra 36 (2008), no. 1, 279 -- 287. Syzygies, resolutions, complexes and commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies Examples of generic lattice ideals of codimension 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 semigroup; Puiseux expansion; resolution of singularities Hefez A., Irreducible plane curve singularities, Real and Complex Singularities (Saõ Carlos 2000), Lecture Notes Pure Appl. Math. 232, Marcel Dekker, New York (2003), 1-120. Singularities of curves, local rings, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Singularities in algebraic geometry Irreducible plane 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 transformations of elliptic functions Elliptic curves Quadratic transformations of the elliptic differential
\[
\frac {\sum\pm c_1 x_2 dx_3}{c_1 \frac {\partial f}{\partial x_1} +c_2 \frac {\partial f}{\partial x_2} + c_3 \frac {\partial f}{\partial x_3}}
\]
under the assumption \(f(xxx)=0\). | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system embedded resolution of singularities of an hypersurface; exceptional divisor Veys, W.: Congruences for numerical data of an embedded resolution. Compositio Math 80, 151--169 (1991) Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Congruences for numerical data of an embedded 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 index of regularity; Hilbert function; plurigenera; number of; integral points; Newton polyhedra; resolution; complete; intersection singularity Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Complete intersections A note about 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 log canonical threshold; resolution of singularities Aoyagi, Log canonical threshold of Vandermonde matrix type singularities and generalization error of a three layered neural network, Int. J. Pure Appl. Math. 52 pp 177-- (2009) Neural nets and related approaches to inference from stochastic processes, Bayesian inference, Computational learning theory, Complex singularities, Computational aspects in algebraic geometry Log canonical threshold of Vandermonde matrix type singularities and generalization error of a three-layered neural network in Bayesian estimation | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 Newton-Puiseux polynomials; resolution of tropical hypersurfaces Combinatorial aspects of tropical varieties, Global theory and resolution of singularities (algebro-geometric aspects) Tropical Newton-Puiseux 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 multiplicity; resolution of singularities; singularities in positive characteristic Global theory and resolution of singularities (algebro-geometric aspects) On the simplification of singularities by blowing up at equimultiple centers | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 discriminants; algebra traces; Poisson prime elements; symplectic foliations; quantum groups at roots of unity Nguyen, B.; Trampel, K.; Yakimov, M., Noncommutative discriminants via Poisson primes, Adv. Math., 322, 269-307, (2017) Quantum groups (quantized enveloping algebras) and related deformations, Poisson manifolds; Poisson groupoids and algebroids, Poisson algebras, Grassmannians, Schubert varieties, flag manifolds Noncommutative discriminants via Poisson 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 Braid groups; Yang-Baxter groups; dynamical Yang-Baxter relations; classical Yang-Baxter relations; Kohno-Drinfeld algebras; 3-term relations algebras; Gaudin elements; Jucys-Murphy elements; small quantum cohomology; \(K\)-theory of flag varieties; Pieri rules; chromatic number; Tutte and Betti polynomials; reduced polynomials; Chan-Robbins-Yuen polytope; \(k\)-dissections of a convex \((n+k+1)\)-gon; Lagrange inversion formula; Richardson permutations; multiparameter deformations of Fuss-Catalan and Schröder polynomials; poly-Bernoulli numbers; Stirling numbers; Euler numbers; Brauer algebras; VSASM; CSTCPP; Birman-Ko-Lee monoid; Kronecker elliptic sigma functions Kirillov, Anatol N., On some quadratic algebras {I}~{\(\frac{1}{2}\)}: combinatorics of {D}unkl and {G}audin elements, {S}chubert, {G}rothendieck, {F}uss--{C}atalan, universal {T}utte and reduced polynomials, SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 12, 002, 172~pages, (2016) Classical problems, Schubert calculus, Yang-Baxter equations, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced 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 action of linear group; \(G\)-harmonic polynomials; null cone of ideal of invariant polynomials Classical groups (algebro-geometric aspects), Geometric invariant theory, Representations of Lie and linear algebraic groups over real fields: analytic methods Representations of \(SO(k,\mathbb{C})\) on harmonic polynomials on a null cone | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 semigroups of several points; linear systems; hyperelliptic curves Carvalho C.: On \({\mathcal V}\)-Weiertsrass sets and gaps. J. Algebra \textbf{312}, 956-962 (2007). Riemann surfaces; Weierstrass points; gap sequences On \(\mathcal V\)-Weierstrass sets and gaps | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; arc sharp spaces; valuations; small irreducible components Valuations and their generalizations for commutative rings, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Small irreducible components of arc spaces in positive characteristic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system meromorphic vector field; projective space; tangent bundle; pairs of meromorphic vector fields; simple vector bundle; reflexive sheaf; stable reflexive sheaf; Pfaff system; meromorphic foliations with singularities Vector distributions (subbundles of the tangent bundles), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Projective techniques in algebraic geometry Pairs of meromorphic vector fields on projective spaces and stability | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system strongly nondegenerate \(c\)-rigid quadrics; linear and nonlinear automorphisms of nondegenerate surface N. F. Palinchak, ''About c-Rigid Quadrics,'' Mat. Zametki 59(2), 224--229 (1996) [Math. Notes 59, 158--162 (1996)]. Real submanifolds in complex manifolds, Automorphisms of surfaces and higher-dimensional varieties About \(c\)-rigid 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 ring of invariants of a linear group acting on a polynomial ring; symbolic blow-up; counterexample of Hilbert's 14-th problem Decker, W., Greuel, G.-M., Pfister, G., Schönemann, H.: Singular 3-1-6--a computer algebra system for polynomial computations. http://www.singular.uni-kl.de Commutative rings and modules of finite generation or presentation; number of generators, Polynomial rings and ideals; rings of integer-valued polynomials, Geometric invariant theory An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fundamental group; Tannakian categories; Enriched local system; Nonabelian Hodge theory; Variation of mixed Hodge structure D. Arapura, ''The Hodge theoretic fundamental group and its cohomology,'' in The Geometry of Algebraic Cycles, Providence, RI: Amer. Math. Soc., 2010, vol. 9, pp. 3-22. Homotopy theory and fundamental groups in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Representation theory for linear algebraic groups The Hodge theoretic fundamental group and its 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 normal presentation of line bundles; elliptic ruled surface; Mukai's conjecture; adjoint linear series; homogeneous coordinate ring F. J. Gallego andB. P. Purnaprajna, Normal presentation on elliptic ruled surfaces.J. Algebra 186 (1996), 597--625. Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Normal presentation on elliptic 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 plethysm; Gaussian maps; representations of complex linear groups; irreducible representations; homogeneous spaces; multiplicities; partitions L. Manivel, Gaussian maps and plethysm, Algebraic geometry (Catania, 1993/Barcelona, 1994) Lecture Notes in Pure and Appl. Math., vol. 200, Dekker, New York, 1998, pp. 91 -- 117. Representation theory for linear algebraic groups, Symmetric functions and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions, Homogeneous spaces and generalizations Gaussian maps and plethysm | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system actions of groups; linear algebra; topological groups; endomorphisms; Grassmannians; echelon matrices; groups preserving a bilinear form; quaternion fields; algebraic combinatorics; Lie groups; Platonic solids; topics from the projective plane; orthogonal groups; unitary groups; symplectic groups; Young tableaux; algebraic geometry; algebraic curves; surfaces configurations; special varieties; graphes; projective line; conics; representation theory; McKay correspondance Ph. Caldero, J. Germoni, \textit{Histoires Hédonistes de Groupes et de Géométries [Hedonistic Histories of Groups and Geometries].} Vol. 2, Calvage et Mounet, Paris, 2015. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry, Affine analytic geometry, Projective analytic geometry, Geometry of classical groups, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Euclidean analytic geometry, Analytic geometry with other transformation groups, General theory of linear incidence geometry and projective geometries, Representations of finite symmetric groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Curves in algebraic geometry, Singularities of curves, local rings Hedonistic histories of groups and geometries. Vol. 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 Möbius transformations; visualization of complex functions; covering Riemann surface; covering transformations 4. Ballantine, C., Ghisa, D.: Colour visualization of Blaschke product mappings. Complex Var. Elliptic Equat. 55 , 201-217 (2010) Blaschke products, Coverings in algebraic geometry Colour visualization of Blaschke product mappings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; multi-ideals; equiresolution; artinian rings Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Computational aspects of higher-dimensional varieties, Commutative Artinian rings and modules, finite-dimensional algebras Resolution algorithms and deformations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system equidimensional decomposition of algebraic variety; symbolic Newton algorithm; sparse resultant; overdetermined polynomial equation system Gabriela Jeronimo, Teresa Krick, Juan Sabia, and Martín Sombra, The computational complexity of the Chow form, Found. Comput. Math. 4 (2004), no. 1, 41 -- 117. Computational aspects of higher-dimensional varieties, Symbolic computation and algebraic computation, Analysis of algorithms and problem complexity The computational complexity of the Chow form | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system family of abelian varieties; degenerate Hodge group; Hodge cycles; heights; complex multiplication; p-adic properties of the Picard-Fuchs system of differential equations Arithmetic ground fields for abelian varieties, Local ground fields in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Arithmetic ground fields for curves, Complex multiplication and abelian varieties Équations différentielles p-adiques et dégénérescence de groupes de Hodge. (p-adic differential equations and degeneration of Hodge 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 variety of linear systems on a general curve; cohomology of Jacobian; Castelnuovo-Severi-Kleiman conjecture; algebraic intersection number; Schubert calculus Griffiths, P. \& Harris, J.,On the variety of special linear systems on a general algebraic curves, Duke Math. J.,47(1980), 233--272. Jacobians, Prym varieties, Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, Enumerative problems (combinatorial problems) in algebraic geometry On the variety of special linear systems on a general algebraic 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 simple canonical algebraic surfaces; bidouble Galois covers; resolution of singularities; moduli of surfaces of general type F. Catanese, Singular bidouble covers and the construction of interesting algebraic surfaces, in Algebraic Geometry: Hirzebruch 70, eds. P. Pragacz \textit{et al.}, Proc. Algebraic Geometry Conference in honor of F. Hirzebruch's 70th birthday, \textit{Contempory Mathematics}, Vol. 241 (Springer, 1999), pp. 97-120. Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces, Singularities of surfaces or higher-dimensional varieties, Surfaces of general type, Families, moduli, classification: algebraic theory Singular bidouble covers and the construction of interesting 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 openness of loci; resolution of singularities; excellent rings; resolution of noetherian integral domain; catenary ring; local noetherian rings; lifting Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative Noetherian rings and modules, Global theory and resolution of singularities (algebro-geometric aspects), Regular local rings, Rational and birational maps, Dimension theory, depth, related commutative rings (catenary, etc.) Sur le lieu \(U_ R(A)\) d'un anneau noethérien | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 and algebraic surfaces; resolution of singularities; local rings; valuation theory; Cohen-Macaulay rings; differential modules; analytic algebras Kiyek, K.; Vicente, J. L., Resolution of curve and surface singularities in characteristic zero, (2004), Kluwer Dordrecht Research exposition (monographs, survey articles) pertaining to algebraic geometry, Valuations and their generalizations for commutative rings, Singularities in algebraic geometry, Singularities of curves, local rings, Singularities of surfaces or higher-dimensional varieties, Analytic algebras and generalizations, preparation theorems, Sheaves of differential operators and their modules, \(D\)-modules, Global theory and resolution of singularities (algebro-geometric aspects) Resolution of curve and surface singularities in characteristic zero. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system CM-field of degree 4 over \(\mathbb{Q}\); simple abelian surface; endomorphism algebra; real quadratic field; indefinite quaternion algebra; two-dimensional complex torus Ruppert, W.: Two-dimensional complex tori with multiplication by d. Arch. math. 72, 278-281 (1999) Complex multiplication and abelian varieties, Analytic theory of abelian varieties; abelian integrals and differentials Two-dimensional complex tori with multiplication by \(\sqrt d\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; representation of the braid group; Laurant polynomial; Alexander polynomial A. Libgober, Invariants of plane algebraic curves via representations of the braid groups, Invent. Math. 95 (1989), 25-30 Zbl0674.14015 MR969412 Families, moduli of curves (algebraic), Global theory and resolution of singularities (algebro-geometric aspects), Braid groups; Artin groups Invariants of plane algebraic curves via representations of the braid groups | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.