Álgebra
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Recent Submissions
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Categorías de descenso simplicial [PhD Thesis]
(2007-12-19) -
Estudio de dos invariantes en álgebras de Lie filiformes complejas y clasificación a partir de estos [PhD Thesis]
(1995-05)• En las álgebras de lie filiformes complejas se estudian de manera detallada los subíndices definidos por: i = , que es ...
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Aspectos diofánticos y computacionales de la torsión racional en curvas elípticas [PhD Thesis]
(2006-12-13) -
Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation [Article]
(London Mathematical Society, 2018)Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions ...
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The root extraction problem for generic braids [Article]
(MDPI, 2019-10)We show that, generically, finding the k-th root of a braid is very fast. More precisely, we provide an algorithm which, ...
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Quantum álgorithms for the combinatorial invariants of numerical semigroups [PhD Thesis]
(2019)It was back in spring 2014 when the author of this doctoral dissertation was finishing its master thesis, whose main ...
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A rigid local system with monodromy group 2.J2 [Article]
(Elsevier, 2019-05)We exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithmetic and geometric ...
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Leaps of the chain of m-integrable derivations in the sense of Hasse-Schmidt [PhD Thesis]
(2019-05-02)Sea k un anillo conmutativo. Los módulos de las k-derivaciones m-integrables (en el sentido de Hasse-Schmidt) de una ...
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Torsion homology and cellular approximation [Article]
(Mathematical Sciences Publishers, 2019-02-06)We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. More concretely, we ...
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Homotopy theory of bicomplexes [Article]
(Elsevier, 2019-05)We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model ...
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Polynomial braid combing [Article]
(Oxford University Press, 2018)We prove that, for n ≥ 3, the minimal dimension of a model of the classifying space of the braid group Bn, and of the pure braid group Pn, with respect to the family of virtually cyclic groups is n.
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On the centralizer of generic braids [Article]
(De Gruyter, 2018-11)We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of ...
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A geometric description of the extreme Khovanov cohomology [Article]
(Cambridge University Press, 2018-06)We prove that the hypothetical extreme Khovanov cohomology of a link is the cohomology of the independence simplicial ...
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Finite monodromy of some families of exponential sums [Article]
(Elsevier, 2019-04)Given a prime p and an integer d > 1, we give a numerical criterion to decide whether the ℓ-adic sheaf associated to the ...
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Sous-groupes paraboliques et généricité dans les groupes d'Artin-Tits de type sphérique. [PhD Thesis]
(2018-09-03)En la primera parte de esta tesis estudiamos la conjetura de genericidad: En el grafo de Cayley del mapping class group ...
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Explicit local multiplicative convolution of ℓ-adic sheaves [Article]
(European Mathematical Society, 2018)We give explicit formulas for the local multiplicative convolution functors, which express the local monodromies of the ...
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Álgebra computacional y programación entera no lineal [Article]
(Real Sociedad Matemática Española, 2016) -
Teorema de división para los operadores diferenciales y cálculo de multiplicidades de D-Modulos [PhD Thesis]
(1984-10-31)En el capítulo preliminar (Capítulo 0) se estudia la relación entre un módulo filtrado y el módulo graduado asociado y se ...
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Derivaciones de Hasse-Schmidt, cuerpos de coeficientes y extensión de escalares en característica positiva [PhD Thesis]
(2002-03-08)Una de las diferencias más notables entre el Álgebra de característica positiva y el Álgebra de característica cero radica ...
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Linear nested Artin approximation theorem for algebraic power series [Article]
(Springer, 2018)We give an elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series ...