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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 inverse problem of Galois theory; Fischer-Griess monster as Galois group over \({\mathbb{Q}}\); finite simple groups; fundamental group; rigid simple groups; cyclotomic field; discrete subgroups of \(PSL_ 2({\mathbb{R}})\); congruence subgroup; modular curve; Puiseux-series; group of covering transformations; compact Riemann surface; algebraic function field; ramification points; cusps; lectures Galois theory, Simple groups: sporadic groups, Representations of groups as automorphism groups of algebraic systems, Arithmetic theory of algebraic function fields, Simple groups: alternating groups and groups of Lie type, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Compact Riemann surfaces and uniformization, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory Some finite groups which appear as Gal L/K, where \(K\subseteq {\mathbb{Q}}(\mu _ n)\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system triple covers; very ample line bundle; linear system LANTERI A., PALLESCHI M. and SOMMESE A.J., ''On triple covers of \(\mathbb{P}\) n as very ample divisors'', inClassification of Algebraic Varieties, Proceedings L'Aquila, 1992, ed. by C. Ciliberto, E.L. Livorni and A.J. Sommese, Contemp. Math. 162 (1994), 277--292. Divisors, linear systems, invertible sheaves, Coverings in algebraic geometry, Projective techniques in algebraic geometry On triple covers of \(\mathbb{P}^ n\) as very ample divisors | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; toric constellations; monodromy conjecture Global theory and resolution of singularities (algebro-geometric aspects), Monodromy on manifolds On monodromy for a class 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 special linear system on an algebraic curve Keem, C.: On the variety of special linear systems on an algebraic curve. Math. Ann.288, 309--322 (1990) Divisors, linear systems, invertible sheaves, Curves in algebraic geometry On the variety of special linear systems on an 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 resolution of singularities; singular foliations; log-canonical foliations; monomial foliations Belotto, A, Global resolution of singularities subordinated to a \(1\)-dimensional foliation, J. Algebra, 447, 397-423, (2016) Global theory and resolution of singularities (algebro-geometric aspects), Singularities of holomorphic vector fields and foliations, Foliations in differential topology; geometric theory, Global theory of complex singularities; cohomological properties, Dynamical aspects of holomorphic foliations and vector fields, Dynamics induced by flows and semiflows, Real-analytic and Nash manifolds, Singularities in algebraic geometry Global resolution of singularities subordinated to a 1-dimensional foliation | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system webs; jet; lines; linear system; projective surface Differential geometry of webs, Pencils, nets, webs in algebraic geometry, Projective differential geometry Extactic divisors for webs and lines on projective surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system subadjoint ideal; completeness of linear systems Adjunction problems, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Varieties and morphisms, Divisors, linear systems, invertible sheaves Subadjoint ideals to 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 cohomology of hyperbolic three-manifolds; automorphic representations; holomorphic Siegel modular forms; \(l\)-adic representations; elliptic curves over imaginary quadratic fields; Tate module; Ramanujan conjecture; \(L\)-function Taylor, Richard, \textit{l}-adic representations associated to modular forms over imaginary quadratic fields. II, Invent. Math., 116, 1-3, 619-643, (1994) Representation-theoretic methods; automorphic representations over local and global fields, Congruences for modular and \(p\)-adic modular forms, Cohomology of arithmetic groups, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Other groups and their modular and automorphic forms (several variables), Elliptic curves over global fields, Galois representations, Local ground fields in algebraic geometry \(l\)-adic representations associated to modular forms over imaginary quadratic fields. 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 rational surfaces; embeddings the blown up surface in some projective space; dimension of linear systems of plane curves; superabundant very ample divisors [GGH] A. V. Geramita, A. Gimigliano and B. Harbourne,Projectively normal but superabundant embedding of rational surfaces in projective space, J. Algebra169 (1994), 791--804 Rational and ruled surfaces, Embeddings in algebraic geometry, Projective techniques in algebraic geometry Projectively normal but superabundant embeddings of rational surfaces in projective space | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Transformations of equations Algebraic functions and function fields in algebraic geometry On the transformation of the equation \(y^n=R(x)\), \(R\) denoting an integral rational function of the variable \(x\) into the equation \(\eta^2=R_1(x)\). | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 hard polyhedra game; Newton pollyhedron; resolution of singularities; local uniformization theorem; normal flatness; blowing-up Global theory and resolution of singularities (algebro-geometric aspects), 2-person games, Singularities in algebraic geometry, Polytopes and polyhedra, Permutations, words, matrices A counterexample to Hironaka's ''hard'' polyhedra game | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 the special linear group; 3-dimensional variety; equivariant classifications; actions of complexity one Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations On SL\(_2\)-actions of complexity 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 middle perversity intersection cohomology; resolution of singularities; Chern class Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Singularities of surfaces or higher-dimensional varieties, Characteristic classes and numbers in differential topology, Global theory and resolution of singularities (algebro-geometric aspects) A note on intersection homology of 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 Hilbert series; groups generated by pseudo-reflections; Grassmann algebras; relatively free algebras; theorem of Shephard-Todd and Chevalley; algebras of invariants; polynomial algebras; T-ideals; PI-algebras; general linear groups; groups of automorphisms; matrix polynomial identities Domokos, M., Relatively free invariant algebras of finite reflection groups, Trans. Amer. Math. Soc., 348, 2217-2233, (1996) Automorphisms and endomorphisms, \(T\)-ideals, identities, varieties of associative rings and algebras, Vector and tensor algebra, theory of invariants, Exterior algebra, Grassmann algebras, Actions of groups on commutative rings; invariant theory, Reflection and Coxeter groups (group-theoretic aspects), Reflection groups, reflection geometries, Classical groups (algebro-geometric aspects) Relatively free invariant algebras of finite reflection 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 projective equivalences; symmetry detection; rational surface; polynomial system; linear reparameterization Rational and ruled surfaces, Rational and birational maps Projective and affine symmetries and equivalences of rational and polynomial 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 embedded resolution of singularities; Hilbert-Samuel function DOI: 10.1007/BF01393974 Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds A counterexample to the theorem of Beppo Levi in three dimensions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system iteration of rational maps; integral point; dynamical system; \(\varphi\)- canonical heights; diophantine properties of orbits; orbit; diophantine equations; Thue equations; Siegel's theorem Silverman J.H.: Integer points, Diophantine approximation, and iteration of rational maps. Duke Math. J. 71(3), 793--829 (1993) Diophantine approximation, transcendental number theory, Global ground fields in algebraic geometry, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Topological dynamics Integer points, diophantine approximation, and iteration of rational maps | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Cox ring; resolution of singularities; quotient singularity; algorithm; toric variety; tropical variety Global theory and resolution of singularities (algebro-geometric aspects), Computational aspects of higher-dimensional varieties, Geometric invariant theory, Toric varieties, Newton polyhedra, Okounkov bodies, Special varieties Computing resolutions of quotient 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 de Rham cohomology; \(p\)-adic local Langlands; curve; rational singularities; arithmetic surfaces; Grothendieck duality; simultaneous resolution of singularities Cais, B., \textit{canonical integral structures on the de Rham cohomology of curves}, Ann. Inst. Fourier (Grenoble), 59, 2255-2300, (2009) de Rham cohomology and algebraic geometry, Curves over finite and local fields, \(p\)-adic cohomology, crystalline cohomology, Local ground fields in algebraic geometry, Arithmetic ground fields for curves Canonical integral structures on the de Rham cohomology 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 resolution of singularities; rational triple point Global theory and resolution of singularities (algebro-geometric aspects), Arcs and motivic integration, Toric varieties, Newton polyhedra, Okounkov bodies The embedded Nash problem of birational models of rational triple 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 Toda system on torus; number of solutions; symmetry of solutions Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures, Toric varieties, Newton polyhedra, Okounkov bodies Sharp upper bound of the number of solutions for the \(\mathrm{SU} (N + 1)\) Toda system on torus with non-critical parameters | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 reductive linear algebraic group on affine scheme; closed orbit; affine Cremona group; fixed points; étale slice theorem; linearizable actions; cancellation problem; linearization problem H. Bass,Algebraic group actions on affine spaces, in Contemporary Mathematics, Vol. 43, Am. Math. Soc., 1985, pp. 1--23. Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations, Birational automorphisms, Cremona group and generalizations Algebraic group actions on affine 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 resolution of singularities; simple normal crossings; desingularization invariant; cleaning; partial resolution algorithm Bierstone, E.; Silva, S.; Milman, P. D.; Vera Pacheco, F., Desingularization by blowings-up avoiding simple normal crossings, Proceedings of the American Mathematical Society, 142, 4099-4111, (2014) Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Modifications; resolution of singularities (complex-analytic aspects), Singularities in algebraic geometry, Local complex singularities, Invariants of analytic local rings Desingularization by blowings-up avoiding simple normal crossings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system computational complexity; algebraic geometry; irreducible polynomials; primitive polynomials; finite fields; polynomial factorization; distribution of primitive polynomials; construction of bases; algebraic number theory; computer science; coding theory; cryptography; factorization of bivariate polynomials; fast algorithms; discrete logarithm problem; fast exponentiation; polynomial multiplication; algebraic curves over finite fields; strengthening of the Weil-Serre bound; rational points; elliptic curves; distribution of primitive points; linear recurring sequences; automata; integer factorization; computational algebraic number theory; algebraic complexity theory; polynomials with integer coefficients 20.I. E. Shparlinski, \(Computational and algorithmic problems in finite fields\), Kluwer, Dordtrecht-Boston-London, 1992. Finite fields and commutative rings (number-theoretic aspects), Research exposition (monographs, survey articles) pertaining to number theory, Number-theoretic algorithms; complexity, Polynomials over finite fields, Arithmetic theory of polynomial rings over finite fields, Algebraic coding theory; cryptography (number-theoretic aspects), Analysis of algorithms and problem complexity, Geometric methods (including applications of algebraic geometry) applied to coding theory, Cryptography, Algebraic number theory computations, Rational points, Curves over finite and local fields Computational and algorithmic problems in finite fields | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear ODEs; fundamental solutions; generalized Wronskians; Schur functions; homology of the Grassmannian 7. L. Gatto and I. Scherbak, ''On one property of one solution of one equation'' or linear ODEs, Wronskians and Schubert calculus, Moscow Math. J.12(2) (2012) 275-291, http://arxiv.org/pdf/1310.3345v1.pdf . genRefLink(128, 'S0219498816501097BIB007', '000309365900005'); Grassmannians, Schubert varieties, flag manifolds, Linear ordinary differential equations and systems, Homology of classifying spaces and characteristic classes in algebraic topology ``On one property of one solution of one equation'' or linear ODE's, Wronskians and Schubert calculus | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system dualizing sheaf; base component of the canonical system; 1-connected curve; effective divisor on a surface K. Konno and M. Mendes Lopes, The base components of the dualizing sheaf of a curve on a surface, Arch. Math. (Basel) 90 (2008), 395--400. Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties, Special algebraic curves and curves of low genus The base components of the dualizing sheaf of a curve 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 resolution of cusp singularities; Shintani decomposition; totally real cubic number fields; Hilbert modular variety; family of cubics; evaluation of zeta-function DOI: 10.1007/BF01359864 Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Singularities of surfaces or higher-dimensional varieties, Special surfaces, \(3\)-folds, Totally real fields, Cubic and quartic extensions, Global ground fields in algebraic geometry On the resolution of cusp singularities and the Shintani decomposition in totally real cubic 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 collinear punctual subschemes; number of generators; minimal free resolution; postulation; Horace method Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Parametrization (Chow and Hilbert schemes) On the homogeneous ideal of collinear punctual subschemes 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 resolution of surface singularity; second Chern class; Riemann-Roch formula; Euler characteristic Wahl, J.: Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities. Math. Ann.295, 81--110 (1993) Riemann-Roch theorems, Singularities of surfaces or higher-dimensional varieties, Characteristic classes and numbers in differential topology, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system character varieties; Hodge polynomial; intersection cohomology; character theory of finite general linear groups Letellier, E., Character varieties with Zariski closures of \textit{GL}\_{}\{\(n\)\}-conjugacy classes at punctures, Sel. Math. (N.S.), 21, 293-344, (2015) Geometric invariant theory, Representations of finite groups of Lie type Character varieties with Zariski closures of \(\mathrm{GL}_n\)-conjugacy classes at punctures | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Subspace arrangements; Hilbert function; postulation; union of linear subspaces; configuration of linear subspaces; quadric hypersurfaces Carlini, E; Catalisano, MV; Geramita, A, Subspace arrangements, configurations of linear spaces and the quadrics containing them, J. Algebra, 362, 70-83, (2012) Projective techniques in algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Syzygies, resolutions, complexes and commutative rings, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) Subspace arrangements, configurations of linear spaces and the quadrics containing them | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; index of regularity; generic hyperplane section; uniform position property; linear semi-uniform position property; positive characteristic E. Ballico and Ch. Miyazaki, Generic hyperplane section of curves and an application to regularity bounds in positive characteristic, J. Pure Appl. Algebra 155 (2001), 93--103. Local ground fields in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Projective techniques in algebraic geometry Generic hyperplane section of curves and an application to regularity bounds 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 pointed stable curve; resolution of singularities; alteration Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic), Rational and birational maps Alterations can remove 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 Hasse principle; cubic; quadratic; system; rational point; Diophantine equations; circle method; Weyl sum; van der Corput method; complete intersection Browning, T. D., Dietmann, R., Heath-Brown, D. R.: Rational points on intersections of cubic and quadric hypersurfaces. J. Inst. Math. Jussieu 14, 703--749 (2015)Zbl 1327.11043 MR 3394125 Varieties over global fields, Applications of the Hardy-Littlewood method, Rational points Rational points on intersections of cubic and quadric hypersurfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system deformations of Klein curve; group of automorphisms; deformations of Riemann surfaces; Torelli theorem; abelian differentials; Hodge decomposition; geodesics; quadratic differentials Algebraic functions and function fields in algebraic geometry, Differentials on Riemann surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Fuchsian groups and their generalizations (group-theoretic aspects), Analytic theory of abelian varieties; abelian integrals and differentials, Families, moduli of curves (analytic), Complex Lie groups, group actions on complex spaces Deformations of Klein's curve and representations of its group of 168 automorphisms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; function field of a quadric; Pfister forms; Pfister neighbor; Galois cohomology; unramified cohomology; Voevodsky's motivic cohomology; Chow group B. KAHN - R. SUJATHA, Motivic cohomology and unramified cohomology of quadrics. J. Eur. Math. Soc. (JEMS), 2 no. 2 (2000), pp. 145-177. Zbl1066.11015 MR1763303 Quadratic forms over general fields, Quadratic spaces; Clifford algebras, Galois cohomology, Étale and other Grothendieck topologies and (co)homologies, Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Motivic cohomology and unramified cohomology 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 space of arcs through a singularity; resolution; exceptional divisor; toric singularities S. Ishii, J. Kollár, The Nash problem on arc families of singularities, \textit{Duke Math. J.} 120 no. 3 (2003) 601-620. Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Families, moduli, classification: algebraic theory, Singularities of surfaces or higher-dimensional varieties, Formal neighborhoods in algebraic geometry The Nash problem on arc families 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 algebraic curve; limit linear series; Brill-Noether locus; moduli of curves Special divisors on curves (gonality, Brill-Noether theory), Families, moduli of curves (algebraic) Linear series on a curve of compact type bridged by a chain of 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 blowing-ups; resolution of singularities Markus, A.S., Markus, O.: Similarity of color images. In: SPIE Proceedings, vol. 2420 (1995) Computer graphics; computational geometry (digital and algorithmic aspects), Global theory and resolution of singularities (algebro-geometric aspects) Computer-pictures of blowing-ups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system totally positive matrices; positive Grassmannian; minors; Plücker coordinates; matrix completion problem; arrangements of equal minors; weakly separated sets; sorted sets; triangulations; thrackles; cluster algebras; plabic graphs; Laurent phenomenon; alcoved polytopes; hypersimplices; affine Coxeter arrangement; Eulerian numbers; chain reactions of mutations; mutation distance; honeycombs; Gröbner bases; Schur positivity Farber, M; Postnikov, A, Arrangements of equal minors in the positive Grassmannian, Adv. Math., 300, 788-834, (2016) Grassmannians, Schubert varieties, flag manifolds, Cluster algebras, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Arrangements of equal minors in the positive Grassmannian | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 symbol; integral polynomials over quartic number fields; ramification; Polya field with class number one; product formula of local group homomorphisms; Brauer groups of global fields; decomposition group; Frobenius element; Stickelberger congruence; quadratic reciprocity law Zantema, H., ?Global restrictions on ramification in number fields?, to appear Other number fields, Galois cohomology, Ramification and extension theory, Cubic and quartic extensions, Brauer groups of schemes, Class numbers, class groups, discriminants, Polynomials (irreducibility, etc.), Galois cohomology, Power residues, reciprocity Global restrictions on ramification in 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 symbolic powers; reflection arrangements; reflection groups; arrangements of linear subspaces Graded rings, Actions of groups on commutative rings; invariant theory, Configurations and arrangements of linear subspaces, Reflection and Coxeter groups (group-theoretic aspects) Singular loci of reflection arrangements and the containment 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 compact linear groups of cohomogeneity \(\leq 3\); orthogonal group; ring of invariants; distance metric; compact connected linear groups; principal isotropy groups Straume, E., On the invariant theory and geometry of compact linear groups of cohomogeneity \(\leq 3\), Differ. Geom. Appl., 4, 1-23, (1994) Representation theory for linear algebraic groups, Global Riemannian geometry, including pinching, Groups acting on specific manifolds, Compact groups, Classical groups (algebro-geometric aspects) On the invariant theory and geometry of compact linear groups of cohomogeneity \(\leq 3\) | 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 monodromy groups of isolated singularities of hypersurfaces; free generators; free group; transformations; Dynkin diagram S. P. Humphries, ''On weakly distinguished bases and free generating sets of free group,''Quart. J. Math.,2, No. 36, 215--219 (1985). Free nonabelian groups, Generators, relations, and presentations of groups, Local complex singularities, Singularities of surfaces or higher-dimensional varieties On weakly distinguished bases and free generating sets of free 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 Weierstrass model of elliptic curve; formal power series; absolute logarithmic heights; bounds for coefficients of polynomials; linear forms in elliptic logarithms Linear forms in logarithms; Baker's method, Transcendence theory of other special functions, Elliptic curves over local fields, Heights, Elliptic curves Logarithmic functions and formal groups of 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 singularities; finite morphisms; multiplicity; arc spaces; constructive resolution of singularities Arcs and motivic integration, Singularities in algebraic geometry Finite morphisms and Nash multiplicity sequences | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 family of irreducible curve singularities; truncated \(S\)- arcs; Nash variety A. Nobile, On Nash theory of arc structure of singularities, Ann. Mat. Pura Appl. (4) 160 (1991), 129--146. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Real-analytic and Nash manifolds, Singularities in algebraic geometry On Nash theory of arc structure 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 upper bounds for solutions of diophantine equations; Runge theorem; finiteness of number of solutions; Brauer-Siegel theorem; Baker-Coates theory; linear forms in logarithms of algebraic numbers; \(p\)-adic case; representation of numbers by binary forms; Thue equation; rational approximations to algebraic numbers; effective strengthening of Liouville inequality; solution of Thue equation in \(S\)-integers; non-Archimedean metrics; polynomial equation; Mordell equation; Catalan equation; size of ideal class group; small regulator; effective variants of Hilbert on irreducibility of polynomials; Abelian points on algebraic curves Sprindžuk, Vladimir G., Classical Diophantine Equations, Lecture Notes in Mathematics 1559, xii+228 pp., (1993), Springer-Verlag, Berlin Diophantine equations, Diophantine approximation, transcendental number theory, Research exposition (monographs, survey articles) pertaining to number theory, Polynomials (irreducibility, etc.), Class numbers, class groups, discriminants, Arithmetic problems in algebraic geometry; Diophantine geometry Classical diophantine equations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system birational morphism; algebroid curves; resolution of singularities; Arf closure; Arf subrings of a discrete valuation ring; associated graded rings; ascending chain condition Campillo, A. and Castellanos, J.: ''Arf Closure relative to a divisorial valuation and trasversal curves''. Preprint 1991 Valuations and their generalizations for commutative rings, Integral closure of commutative rings and ideals, Singularities of curves, local rings, Commutative Noetherian rings and modules, Global theory and resolution of singularities (algebro-geometric aspects) Arf closure relative to a divisorial valuation and transversal 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 analytic spread; normal cone; equimultiplicity; normal flatness; resolution of singularities Global theory and resolution of singularities (algebro-geometric aspects) On equimultiplicity of the normal 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 Dold-Kan correspondence; cross effect functor; symmetric power operation; Adams-Riemann-Roch theorem; plethysm problem; computing the homology of Koszul complexes; projective resolution; Adams-Riemann-Roch formula B. Köck, Computing the homology of Koszul complexes. \textit{Trans. Amer. Math. Soc. }353 (2001), 3115--3147. Relations of \(K\)-theory with cohomology theories, Riemann-Roch theorems, Grothendieck groups, \(K\)-theory and commutative rings Computing the homology of Koszul complexes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system p-adic L-functions; Iwasawa theory; vanishing of \(\mu \)-invariant; elliptic case; imaginary quadratic field; complex multiplication; maximal abelian p-extension; elliptic curve Schneps, L.: On the {\(\mu\)}-invariant of p-adic L-functions attached to elliptic curves with complex multiplication. J. Number Theory 25(1), 20--33 (1987) Iwasawa theory, Zeta functions and \(L\)-functions, Cyclotomic extensions, Elliptic curves On the \(\mu\)-invariant of \(p\)-adic \(L\)-functions attached to elliptic curves with complex multiplication | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 singulairties; positive characteristic Kawanoue, H.: Toward resolution of singularities over a field of positive characteristic. I. Foundation; the language of the idealistic filtration. Publ. Res. Inst. Math. Sci. 43 (2007), no. 3, 819-909. Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Toward resolution of singularities over a field of positive characteristic. I. Foundation; the language of the idealistic filtration | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; linear system; inflection point Special divisors on curves (gonality, Brill-Noether theory), Riemann surfaces; Weierstrass points; gap sequences Generalized inflection points of very general effective divisors on smooth 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 inverse problem of Galois theory; Fischer-Griess monster as Galois group over \(\mathbb{Q}\); finite simple groups; fundamental group; rigid simple groups; cyclotomic field; discrete subgroups of \(PSL_2(\mathbb{R})\); congruence subgroup; modular curve; Puiseux series; group of covering transformations; compact Riemann surface; algebraic function field; ramification points; cusps J. Thompson , Some finite groups which appear as Gal (L/K) where K \subset Q(\mu n) , J. Alg. 89 (1984) 437-499. Galois theory, Simple groups: sporadic groups, Representations of groups as automorphism groups of algebraic systems, Arithmetic theory of algebraic function fields, Simple groups: alternating groups and groups of Lie type, Unimodular groups, congruence subgroups (group-theoretic aspects), Finite automorphism groups of algebraic, geometric, or combinatorial structures, Compact Riemann surfaces and uniformization, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory Some finite groups which appear as \(\mathrm{Gal } L/K\), where \(K\subseteq \mathbb{Q}(\mu_n)\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear differential system; characteristic variety; direct image; micro-differential operators; de Rham complex; \({\mathcal D}\)-module Malgrange, B.: De Rham complex and direct images of \({\mathcal{D}}\) -modules. In: Images directes et constructibilté, pp. 1--13. Travaux en cours 46. Hermann, Paris (1993) Sheaves of differential operators and their modules, \(D\)-modules, de Rham cohomology and algebraic geometry, Rings of differential operators (associative algebraic aspects), Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs De Rham complex and direct images of \(\mathcal{D}\)-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 semi-simplicity of the \(U_p\)-operator on modular forms; cusp forms; Hecke operator; crystalline Frobenius elements Coleman, R.; Edixhoven, B., On the semi-simplicity of the \(U_p\)-operator on modular forms, Math. Ann., 310, 1, 119-127, (1998) Congruences for modular and \(p\)-adic modular forms, Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights On the semi-simplicity of the \(U_p\)-operator on 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 Milnor fibration; Milnor number; Lê numbers; vanishing cycles; equisingularity; Chern classes; indices of vector fields; 3-manifolds; mixed singularities; linear actions; polar actions; homotopy spheres History of several complex variables and analytic spaces, History of algebraic geometry, History of manifolds and cell complexes, History of mathematics in the 20th century, History of mathematics in the 21st century, Complex singularities, Local theory in algebraic geometry, General geometric structures on low-dimensional manifolds On Milnor's fibration theorem and its offspring after 50 years | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system; hypersurface; finite fields; smoothness Projective techniques in algebraic geometry, Hypersurfaces and algebraic geometry, Finite ground fields in algebraic geometry Linear families of smooth hypersurfaces over finitely generated 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 differential graded categories; triangulated categories; derived noncommutative schemes; finite-dimensional algebras; geometric realizations; noncommutative algebraic geometry; quasi-coherent sheaves; homological algebra; perfect complexes; unbounded derived category; enough injectives; classical generator; homotopy category; enhanced category; noncommutative scheme; noncommutative derived scheme; compactification; resolution of singularities; Serre functor; geometric realization; pure geometric realization; phantoms; quasi-phantoms; Krull-Schmidt partners Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Derived categories, triangulated categories, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Chain complexes (category-theoretic aspects), dg categories Derived noncommutative schemes, geometric realizations, and 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 integrable Hamiltonian system; Clebsch top; Kummer surfaces; K3 surfaces; Jacobian; hyperelliptic curve of genus Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.), Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions, Integrable cases of motion in rigid body dynamics, \(K3\) surfaces and Enriques surfaces, Relationships between algebraic curves and integrable systems The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear projection; del Pezzo surface; rational scroll; Grassmannian of lines Grassmannians, Schubert varieties, flag manifolds, Projective techniques in algebraic geometry Surfaces in \(G(1,5)\) with one apparent double point | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system motivic homotopy theory; slice filtration; motivic cohomology; algebraic \(K\)-theory; Hermitian \(K\)-theory; higher Witt-theory; quadratic forms over rings of integers; special values of Dedekind \(\zeta \)-functions of number fields \(K\)-theory of global fields, Zeta functions and \(L\)-functions of number fields, Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects) Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in 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 local Plücker formulas; curvature and metric vectors; holomorphic curves Semisimple Lie groups and their representations, Curves in algebraic geometry, Homogeneous complex manifolds Local Plücker formulae for a semisimple Lie group | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system moments of quadratic Dirichlet; \(L\)-functions; ratios of \(L\)-functions; function fields; random matrix theory; hyperelliptic curves Andrade, J. C.; Keating, J. P., Conjectures for the integral moments and ratios of \textit{L}-functions over function fields, J. Number Theory, 142, 102-148, (2014) Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Conjectures for the integral moments and ratios of \(L\)-functions over 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 modular surface; Möbius conjugacy classes; quadratic rational maps; family of cubics DOI: 10.1088/0951-7715/16/1/306 Arithmetic ground fields (finite, local, global) and families or fibrations, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets Remarks on the period three cycles of quadratic rational maps | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system space curve; cohomology; complete linear system L. Gruson and C. Peskine, ``Space curves: Complete series and speciality'' in Space Curves (Rocca di Papa, Italy, 1985) , Lecture Notes in Math. 1266 , Springer, Berlin, 1987, 108--123. Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Space curves: Complete series and speciality | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 transformation; homaloid system; generic point; centre of valuation; rational map of schemata Questions of classical algebraic geometry, Birational automorphisms, Cremona group and generalizations, History of algebraic geometry, History of mathematics in the 20th century Birational transformations (a historical 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 Heisenberg level structure; linear action; Heisenberg group; global sections of a line bundle Elliptic curves, Group actions on varieties or schemes (quotients), Families, moduli of curves (algebraic) Moduli space of elliptic curves with Heisenberg level structure | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system triangular transformations group; affine space; wreath product of translation groups Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Birational automorphisms, Cremona group and generalizations Automorphisms of Jonquiear's type groups over finite fields. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system symplectic resolution; symplectic linear quotient singularities; classification; smooth symplectic variety; Verbitsky's result Global theory and resolution of singularities (algebro-geometric aspects), Poisson manifolds; Poisson groupoids and algebroids, Singularities in algebraic geometry, Reflection and Coxeter groups (group-theoretic aspects), Deformations of associative rings, Group actions on varieties or schemes (quotients) Towards the classification of symplectic linear quotient singularities admitting a symplectic 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 linearization of semisimple groups; flat algebraic group scheme; equivariant resolution Thomason, R. W., \textit{equivariant resolution, linearization, and hilbert's fourteenth problem over arbitrary base schemes}, Adv. Math., 65, 16-34, (1987) Group schemes, Group actions on varieties or schemes (quotients) Equivariant resolution, linearization, and Hilbert's fourteenth problem over arbitrary base 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 family of embedded schemes; Fitting ideals; normal crossing; Jacobian ideal; resolution of singularities Belotto da Silva, A.: Resolution of singularities in foliated spaces. Ph.D. thesis. Université de Haute-Alsace, France (2013) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.) Resolution in 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 action of linear group; prehomogeneous vector spaces; roots of b- function; castling transform Igusa, J.: On certain class of prehomogeneous vector spaces. J. pure appl. Algebra 47, 265-282 (1987) Homogeneous spaces and generalizations, Linear algebraic groups over arbitrary fields, Group actions on varieties or schemes (quotients) On a certain class of prehomogeneous vector 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 Newton polygone; resolution of singularities; toric variety Ishii, S.; Brasselet, J-P (ed.); etal., A resolution of singularities of a toric variety and non-degenerate hypersurface, 354-369, (2007), Hackensack Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Hypersurfaces and algebraic geometry A resolution of singularities of a toric variety and a non-degenerate 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 surfaces; generation of surfaces Special surfaces, Surfaces in Euclidean and related spaces On Jacobi's approach to generating quadratic surfaces. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic forms; function field of a quadric; Galois cohomology; unramified cohomology; real quadrics; unramified Witt ring B. Kahn, M. Rost and R. Sujatha, Unramified cohomology of quadrics I, American Journal of Mathematics 120 (1998), 841--891. Algebraic theory of quadratic forms; Witt groups and rings, Galois cohomology, Étale and other Grothendieck topologies and (co)homologies, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Witt groups of rings Unramified cohomology of quadrics. 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 resolution of singularities Kapil H. Paranjape, The Bogomolov-Pantev resolution, an expository account, New trends in algebraic geometry (Warwick, 1996) London Math. Soc. Lecture Note Ser., vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 347 -- 358. Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Minimal model program (Mori theory, extremal rays) The Bogomolov-Pantev resolution: An expository account | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system surfaces; resolution of singularities; blowing up; Newton polyhedron Herwig Hauser, Excellent surfaces and their taut resolution, Resolution of singularities (Obergurgl, 1997) Progr. Math., vol. 181, Birkhäuser, Basel, 2000, pp. 341 -- 373. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Excellent surfaces and their taut 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 \(p\)-adic linear differential equations; \(p\)-adic \(L\)-functions; Gross-Koblitz formula; Dwork's cohomology theory; Bessel functions; deformation equation; eigenvalues; twisted Kloosterman sums; Frobenius map; growth of solutions; Gauss sums; Boyarski principle; p-adic gamma function Adolphson, A.; Sperber, S., \textit{twisted Kloosterman sums and} p\textit{-adic Bessel functions}, American Journal of Mathematics, 106, 549-591, (1984) \(p\)-adic differential equations, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), \(p\)-adic cohomology, crystalline cohomology, Zeta functions and \(L\)-functions, Gauss and Kloosterman sums; generalizations Twisted Kloosterman sums and \(p\)-adic Bessel 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 almost simple Chevalley-Demazure group scheme; root system; centers; centralizer; lattice of weights E. Abe and J. F. Hurley, ''Centers of Chevalley Groups over Commutative Rings,'' Comm. in Algebra 16, 57--74 (1988). Linear algebraic groups over adèles and other rings and schemes, Subgroup theorems; subgroup growth, Affine algebraic groups, hyperalgebra constructions Centers of Chevalley groups over commutative 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 groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory Mathematics in general, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory 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 Bertini theorem; irreducibilities of linear families Divisors, linear systems, invertible sheaves About some algebraic aspects of linear systems and of the theorem of Bertini | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; fan; polytope; resolution of singularities; quotient space; cohomology; minimal model program; McKay correspondence; \(G\)-Hilbert scheme Cox, D.: Update on toric geometry. Sémin. congr. 6, 1-41 (2002) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) Update on toric 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 resolution of singularities; simple normal crossings; semisimple normal crossings; desingularization invariant; Hilbert-Samuel function; singularities of pairs; log-resolution of singularities Bierstone, Edward; Vera Pacheco, Franklin, Resolution of singularities of pairs preserving semi-simple normal crossings, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas. RACSAM, 107, 159-188, (2013) Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Divisors, linear systems, invertible sheaves, Invariants of analytic local rings Resolution of singularities of pairs preserving semi-simple normal crossings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system canonical linear system; minimal surface P. Ellia, C. Folegatti, On the canonical map of smooth surfaces in P4, preprint (2002). Surfaces of general type, Rational and birational maps, Low codimension problems in algebraic geometry On the canonical map of smooth surfaces in \({\mathbb P}^4\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system simultaneous resolution; non-log-canonical singularity; equisingular deformation Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Equisingularity (topological and analytic), Global theory of complex singularities; cohomological properties, Deformations of complex singularities; vanishing cycles On \((-P\cdot P)\)-constant deformations of Gorenstein surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hasse-Minkowski problem; projective quadric; quadratic form; \(p\)-adic valuations; exact sequence of Witt rings; Hasse principle Hatt-Arnold, D.: Le problème de Hasse-Minkowski pour les quadriques définies surC((X, Y)), Thèse 2181. Genéve: 1986 General binary quadratic forms, Valued fields, Surfaces and higher-dimensional varieties, General valuation theory for fields The Hasse-Minkowski problem for quadrics defined on \(\mathbb C((X,Y))\). | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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; deformation theory of linear systems; Brill-Noether theorem Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry On geometry of 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 toric varieties; cone structure; resolution of singularities; fundamental groups; Euler characteristics; cohomology of line bundles; tangent bundle; Serre duality; Betti numbers; Chow groups; cohomology groups W. Fulton, \textit{Introduction to toric varieties}, Annals of Mathematics Studies, Princeton University Press, Princeton U.S.A. (1993). Toric varieties, Newton polyhedra, Okounkov bodies, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Group actions on varieties or schemes (quotients), Homotopy theory and fundamental groups in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Polyhedra and polytopes; regular figures, division of spaces Introduction to toric varieties. The 1989 William H. Roever lectures in 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 singularity of plane; base points of the system of polar curves; algebroid plane curve; Tjurina number DOI: 10.5802/aif.1245 Singularities of curves, local rings, Divisors, linear systems, invertible sheaves Base points of polar 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 systems of cubics; general points of projective space; Alexander-Hirschowitz interpolation theorem Chandler K.A.: Linear systems of cubics singular at general points of projective space. Compositio Math. 134, 269--282 (2002) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Linear systems of cubics singular at general points of projective space | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Cremona group; system of generators Birational automorphisms, Cremona group and generalizations On relations in the two-dimensional Cremona group over a nonclosed field. 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 normal quasiprojective surface; \(K_ 0\); resolution of singularities M. Levine , K-groups of surface singularities and modules of finite length , Compositio Math. 59 (1986) 21-40. Singularities of surfaces or higher-dimensional varieties, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry Modules of finite length and K-groups of surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system free associative algebras; primitive elements; automorphisms of free algebras DOI: 10.1112/S002460930300225X Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Automorphisms and endomorphisms, Polynomials over commutative rings, Relevant commutative algebra Factor algebras of free algebras: on a problem of G. Bergman. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 forms with algebraic coefficients; lower bound; logarithms of algebraic points; commutative algebraic group Linear forms in logarithms; Baker's method, Group varieties Minorations effectives de formes linéaires de logarithmes sur les groupes algébriques. (An effective lower bound for linear forms in logarithms on algebraic groups) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Cremona transformations; quadratic complex; line complex Birational automorphisms, Cremona group and generalizations Cremona transformations associated to quadratic complexes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system arrangements of hyperplanes; covariant derivative; local system; twisted cohomology; logarithmic forms; intersection form; Künneth formula; Veronese map Iwasaki, K., and Kita, M.: Exterior power structure on the twisted de Rham cohomology of the complements of real Veronese arrangements. J. Math. Pures Appl., 75 , 69-84 (1995). Differential forms in global analysis, de Rham theory in global analysis, de Rham cohomology and algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) Exterior power structure on the twisted de Rham cohomology of the complements of real Veronese arrangements | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system minimal resolution of the dual of a smoothable two dimensional; cusp singularity; anticanonical divisor on a rational surface; smoothability; versal deformation of the triangle singularity; minimal resolution of the dual of a smoothable two dimensional cusp singularity Friedman, R.; Pinkham, H., Smoothings of cusp singularities via triangle singularities, Compos. Math., 53, 303-324, (1984) Deformations of singularities, Singularities of surfaces or higher-dimensional varieties, Rational and unirational varieties, Deformations of complex singularities; vanishing cycles, Special surfaces Smoothings of cusp singularities via triangle singularities. Appendix by H. Pinkham | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-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 Grassmannian; sagbi basis; quantum Plücker relations; quadratic Gröbner basis; quantum Schubert varieties Sottile, Frank; Sturmfels, Bernd, A sagbi basis for the quantum Grassmannian, J. Pure Appl. Algebra, 158, 2-3, 347-366, (2001) Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rings with straightening laws, Hodge algebras, Determinantal varieties A sagbi basis for the quantum Grassmannian | 0 |
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