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Artículo
On the number of rational points on curves over finite fields with many automorphisms
(Elsevier, 2013-01)
Using Weil descent, we give bounds for the number of rational points on two families of curves over finite fields with a large abelian group of automorphisms: Artin–Schreier curves of the form yq−y=f(x) with f∈Fqr[x], on ...
Artículo
Formal groups, supersingular abelian varieties and tame ramification
(Elsevier, 2011-05-15)
Let us consider an abelian variety defined over Qℓ with good supersingular reduction. In this paper we give explicit conditions that ensure that the action of the wild inertia group on the ℓ-torsion points of the variety ...
Artículo
Computing the rational torsion of an elliptic curve using Tate normal form
(Elsevier, 2002-09)
It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, or n = 12) lie in a oneparameter family. However, this fact does not appear to have been used ever for ...
Artículo
The algebra of secondary homotopy operations in ring spectra
(London Mathematical Society, 2011)
The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R which has the structure of a secondary analogue of a ring. The homology of π∗,∗R is π∗R and ...
Artículo
Semblanza del profesor don Gonzalo Sánchez Vázquez
(Federación Española de Profesores de Matemáticas, 1997-06)
Artículo
Matematicas experimentales
(Federación Española de Profesores de Matemáticas, 1992)
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
Tautological systems and free divisors
(Elsevier, 2019-08-20)
We introduce tautological systems defined by prehomogeneous actions of reductive algebraic groups. If the complement of the open orbit is a linear free divisor satisfying a certain finiteness condition, we show that these ...
Artículo
Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
(Cornell University, 2008-04-14)
In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new ...
Artículo
The module Dfs for locally quasi-homogeneous free divisors
(Springer, 2002-10)
We find explicit free resolutions for the D-modules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous ...