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Conjugacy in Garside groups I: Cyclings, powers, and rigidity
(European Mathematical Society, 2007)
In this paper a relation between iterated cyclings and iterated powers of elements in a Garside group is shown. This yields a characterization of elements in a Garside group having a rigid power, where ‘rigid’ means that ...
Artículo
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Correspondance de Howe explicite: paires duales de type II
(Société Mathématique de France, 2008)
Dans cet article, nous proposons une nouvelle méthode pour démontrer la bijectivité de la correspondance de Howe pour les paires duales du type (GLn, GLm) sur un corps F localement compact non archimédien. La preuve est ...
Artículo
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Dwork families and D-modules
(European Mathematical Society Publishing House, 2019-05-31)
A Dwork family is a one-parameter monomial deformation of a Fermat hypersurface. In this paper we compute algebraically the invariant part of its Gauss–Manin cohomology under the action of certain subgroup of automorphisms. ...
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All linear symmetries of the SU(3) tensor multiplicities
(IOP Science, 2024)
The SU(3) tensor multiplicities are piecewise polynomial of degree 1 in their labels. The pieces are the chambers of a complex of cones. We describe in detail this chamber complex and determine the group of all linear ...
Artículo
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Integral points in rational polygons: a numerical semigroup approach
(Springer, 2016)
In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to give a formula for the number of integral points inside a right-angled triangle with rational ...
Artículo
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Linear nested Artin approximation theorem for algebraic power series
(Springer, 2018)
We give an elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subring of the ring of formal power series, we clarify ...
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On a conjecture by Kauffman on alternative and pseudoalternating links
(Elsevier, 2015-06)
It is known that alternative links are pseudoalternating. In 1983 Louis Kauffman conjectured that both classes are identical. In this paper we prove that Kauffman Conjecture holds for those links whose first Betti number ...
Tesis Doctoral
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Coefficient fields and scalar extension in positive characteristic
(Elsevier, 2005-03-15)
Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A = k[[X1, . . . , Xn]]. We show that for any maximal ideal n of A′ = k(t)per ⊗k A, the elements in Ac′ n which are annihilated ...
Artículo
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Closures of positive braids and the Morton-Franks-Williams inequality
(Elsevier, 2014-09-01)
We study the Morton-Franks-Williams inequality for closures of simple braids (also known as positive permutation braids). This allows to prove, in a simple way, that the set of simple braids is a orthonormal basis for the ...