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Artículo
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Fonctions zêta ℓ-modulaires
(Duke University Press, 2012)
Soient F un corps commutatif localement compact non archimédien, de caractéristique résiduelle notée p, et D une F-algèbre à division centrale de dimension finie. Soit un nombre premier différent de p. Dans cet ...
Ponencia
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Invariance properties for coefficients of symmetric functions
(2016)
We show that several of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, and the Kostka-Foulkes polynomials) share invariance properties ...
Tesis Doctoral
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N-categorías un modelo categorial de la lógica
(1984)
En el Capítulo I introducimos el primero de los conceptos básicos que presentamos: Las N-categorías.El Capítulo II está dedicado a profundizar en la ... En el Capítulo III se desarrolla la interpretación N-categorial del ...
Artículo
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Locally quasi-homogeneous free divisors are Koszul free
(MAIK Nauka/Interperiodica, 2002)
Let X be a complex analytic manifold and D ⊂ X be a free divisor. If D is locally quasi-homogeneous, then the logarithmic de Rham complex associated to D is quasi-isomorphic to Rj∗(CX\D), which is a perverse sheaf. On the ...
Artículo
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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
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Reduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH
(Springer, 2009-12)
We provide counter–examples to Mulmuley’s strong saturation conjecture (strong SH) for the Kronecker coefficients. This conjecture was proposed in the setting of Geometric Complexity Theory to show that deciding whether ...
Artículo
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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 ...
Artículo
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Large Galois images for Jacobian varieties of genus 3 curves
(Polish Academy of Sciences, Institute of Mathematics, 2016)
Given a prime number ℓ ≥ 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation ρA,ℓ : GQ → GSp6 (Fℓ) attached to the ℓ-torsion of ...
Artículo
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Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties
(Springer, 2015-04)
This article is the third and last part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part proves the following new result ...
Tesis Doctoral
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Quantum álgorithms for the combinatorial invariants of numerical semigroups
(2019)
It was back in spring 2014 when the author of this doctoral dissertation was finishing its master thesis, whose main objective was the understanding of Peter W. Shor’s most praised result, a quantum algorithm capable ...