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PhD Thesis
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Métodos computacionales en los sistemas de ecuaciones en derivadas parciales
(2000)
"La memoria tiene dos partes: La primera está dedicada a la comparación entre los métodos clásicos de Riquier-Janet (para el estudio de los sistemas de ecuaciones en derivadas parciales) y los métodos modernos del álgebra ...
PhD Thesis
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Sous-groupes paraboliques et généricité dans les groupes d'Artin-Tits de type sphérique.
(2018-09-03)
En la primera parte de esta tesis estudiamos la conjetura de genericidad: En el grafo de Cayley del mapping class group de una superficie cerrada, consideramos una bola de radio suficientemente grande centrada en el elemento ...
Article
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Fast Nielsen-Thurston classification of braids
(Mathematical Sciences Publishers, 2014)
We prove the existence of an algorithm that solves the reducibility problem in braid groups and runs in quadratic time with respect to the braid length for any fixed braid index.
Article
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An Effective Criterion for Finite Monodromy of ℓ-Adic Sheaves
(Springer, 2023-02-01)
We provide an effective version of Katz’ criterion for finiteness of the monodromy group of a lisse, pure of weight zero, -adic sheaf on a normal variety over a finite field, depending on the numerical complexity of the sheaf.
Article
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The characteristic cohomology class of a triangulated category
(2005)
The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoid-enriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated ...
Article
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Valuations in algebraic field extensions
(Elsevier, 2007-06-15)
Let K → L be an algebraic field extension and ν a valuation of K. The purpose of this paper is to describe the totality of extensions {ν′} of ν to L using a refined version of MacLane’s key polynomials. In the basic case ...
Article
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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 ...
PhD Thesis
Article
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On a determinantal formula of Tadić
(Johns Hopkins University Press, 2014-02)
We study a special class of irreducible representations of GLn over a local non-Archimedean field which we call ladder representations. This is a natural class in the admissible dual which contains the Speh representations. ...
Article
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Algebraic computation of some intersection D-modules
(Springer, 2006)
Let X be a complex analytic manifold, D ⊂ X a locally quasi-homogeneous free divisor, E an integrable logarithmic connection with respect to D and L the local system of the horizontal sections of E on X − D. In this ...