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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 ...
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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 ...
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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 ...
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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 ...
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Semblanza del profesor don Gonzalo Sánchez Vázquez
(Federación Española de Profesores de Matemáticas, 1997-06)
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Matematicas experimentales
(Federación Española de Profesores de Matemáticas, 1992)
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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 ...
Tesis Doctoral
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Una extensión de métodos algebraicos a la teoría de modelos
(1983-07-02)
La idea central de este trabajo consiste en la introducción del concepto de cociente en la teoría de modelos. La construcción del cociente en algebra no es directamente generalizables pues hace uso de elementos notables ...
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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 ...