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Artículo
Gevrey expansions of hypergeometric integrals I
(Oxford University Press, 2015)
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we consider the case of the systems associated with a one row matrix, for which the integration domains ...
Artículo
Geometric approaches to braid groups and mapping class groups
(Cellule Mathdoc, 2015)
These are Lecture Notes of a course given by the author at the School Winter Braids, held at the Université de Pau et des Pays de L’Adour (France), on February 2015. It is explained how mapping class groups, and in particular ...
Artículo
An improved test set approach to nonlinear integer problems with applications to engineering design
(Proquest, 2015-03-14)
Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test sets have been proposed to solve some particular problems with integer variables, but they have not ...
Artículo
Combinatorics on a family of reduced Kronecker coefficients
(Académie des Sciences, 2015-08-28)
The reduced Kronecker coefficients are particular instances of Kronecker coefficients, that nevertheless contain enough information to compute all Kronecker coefficients from them. In this note, we compute the generating ...
Artículo
Irregular modified A-Hypergeometric systems
(American Mathematical Society, 2015)
A modified A-hypergeometric system is a system of differential equations for the function f(t w · x) where f(y) is a solution of an A-hypergeometric system in n variables and w is an n dimensional integer vector, which is ...
Artículo
On dilatation factors of braids on three strands
(World Scientific Publishing, 2015-04)
In this work we present a natural surjective map from rigid braids in B3 (in Garside sense) to SL2(N). This map provides an upper and a lower bound for the dilatation factor of a pseudo-Anosov 3-strand braid. These bounds ...
Artículo
On conjectures of Sato-Tate and Bruinier-Kohnen
(Springer, 2015-04)
This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and related subsets of the set of natural numbers. (2) It extends previous results on a conjecture of ...
Capítulo de Libro
Two Mayer-Vietoris Spectral Sequences for D-modules
(American Mathematical Society, 2015-03-18)
We provide two Mayer-Vietoris-like spectral sequences related to the localization over the complement of a closed subvariety of an algebraic variety by using techniques from $\mathcal{D}$-modules and homological algebra. ...
Artículo
Combinatorics on a family of reduced Kronecker coefficients
(Elsevier, 2015-10)
The reduced Kronecker coefficients are particular instances of Kronecker coefficients that contain enough information to recover them. In this notes we compute the generating function of a family of reduced Kronecker ...
Artículo
Decomposing Jacobians of curves over finite fields in the absence of algebraic structure
(Elsevier, 2015-11)
We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a hypothesis that two curves have the same number ...