Buscar
Mostrando ítems 221-230 de 310
Artículo
Characteristic cycles and Gevrey series solutions of A -hypergeometric systems
(Mathematical Sciences Publishers, 2020-03-17)
We compute the L -characteristic cycle of an A -hypergeometric system and higher Euler–Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles ...
Artículo
The analytic standard fan of a D-module
(Elsevier, 2001-10-24)
We extend to the analytic D-module case our results in the algebraic case, namely, we associate with any monogeneous module over the ring D of germs of linear differential operators at the origin of Cn, with holomorphic ...
Artículo
The computation of the logarithmic cohomology for plane curves
(Elsevier, 2009-12-01)
We will give algorithms of computing bases of logarithmic cohomology groups for square-free polynomials in two variables.
Artículo
Vector partition functions and Kronecker coefficients
(IOP Science, 2021-04-01)
The Kronecker coefficients are the structure constants for the restriction of irreducible representations of the general linear group GL(nm) into irreducibles for the subgroup GL(n) × GL(m). In this work we study the ...
Artículo
Big monodromy theorem for abelian varieties over finitely generated fields
(Elsevier, 2013-02)
An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on ℓ-torsion points, for almost all primes ℓ, contains the full symplectic group. We prove that all abelian varieties ...
Artículo
Combinatorics of syzygies for semigroup algebras
(Universitat de Barcelona, 1998)
We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The ...
Artículo
Computational methods in algebra and analysis
(Sociedad Española de Matemática Aplicada, 2007-09)
This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the algebraic study of the systems of linear partial differential equations. Gröbner bases for rings ...
Artículo
Inequalities between Littlewood–Richardson coefficients
(Elsevier, 2006-05)
We prove that a conjecture of Fomin, Fulton, Li, and Poon, associated to ordered pairs of partitions, holds for many infinite families of such pairs. We also show that the bounded height case can be reduced to checking ...
Artículo
On the computation of the Apéry set of numerical monoids and affine semigroups
(Springer, 2014-10-01)
A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner bases, is presented, together with a generalization for affine semigroups. This computation allows ...
Artículo
Purity of exponential sums on An, II
(De Gruyer, 2007-03)
We give a purity result for exponential sums of the type P x∈kn ψ(f(x)), where k is a finite field of characteristic p, ψ : k → C* is a non-trivial additive character and f ∈ k[x1, . . . , xn] is a polynomial whose highest ...