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On conjectures of Sato-Tate and Bruinier-Kohnen
(Springer, 2015-04)
This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and related subsets of the set of natural numbers. (2) It extends previous results on a conjecture of ...
Artículo
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Conjugacy in Garside groups II: Structure of the ultra summit set
(European Mathematical Society, 2008)
This paper is the second in a series in which the authors study the conjugacy decision problem (CDP) and the conjugacy search problem (CSP) in Garside groups. The ultra summit set USS(X) of an element X in a Garside group ...
Tesis Doctoral
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Estudio de dos invariantes en álgebras de Lie filiformes complejas y clasificación a partir de estos
(1995-05)
• En las álgebras de lie filiformes complejas se estudian de manera detallada los subíndices definidos por: i = , que es equivalente a i = inf es conmutativo), que es equivalente a j = inf , dos invariantes respecto de ...
Artículo
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A note on K-theory and triangulated derivators
(Elsevier, 2011-08-01)
In this paper we show an example of two differential graded algebras that have the same derivator K-theory but non-isomorphic Waldhausen K-theory. We also prove that Maltsiniotis’s comparison and localization conjectures ...
Artículo
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2º Congreso de Jóvenes Investigadores
(Real Sociedad Matematica Española, 2013)
Artículo
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New presentations of surface braid groups
(World Scientific Publishing, 2001)
In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.
Artículo
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Torsion of rational elliptic curves over quadratic fields II
(Springer, 2016-03)
Let E be an elliptic curve defined over Q and let G=E(Q)_tors be the associated torsion group. In a previous paper, the authors studied, for a given G, which possible groups G\leq H could appear such that H=E(K)_tors, for ...
Artículo
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The conjugacy stability problem for parabolic subgroups in artin groups
(Springer, 2022-09-14)
Given an Artin group A and a parabolic subgroup P, we study if every two elements of P that are conjugate in A, are also conjugate in P. We provide an algorithm to solve this decision problem if A satisfies three properties ...
Artículo
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Computing localizations iteratively
(Cornell University, 2011)
Let R = C[x] be a polynomial ring with complex coefficients and DX = Chx, ∂i be the Weyl algebra. Describing the localization Rf = R[f −1 ] for nonzero f ∈ R as a DX-module amounts to computing the annihilator A = ...
Tesis Doctoral
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Trenzas en superficies cerradas
(2000)
En este trabajo se estudian las trenzas en superficies cerradas. En primer lugar, se dan nuevas presentaciones de los grupos de trenzas en superficies cerradas, que son mucho más simples que las ya conocidas, y que tienen ...