Álgebra
Collections in this community
Recent Submissions
-
Chapter of Book
Two Mayer-Vietoris Spectral Sequences for D-modules
(American Mathematical Society, 2015-03-18)We provide two Mayer-Vietoris-like spectral sequences related to the localization over the complement of a closed subvariety ...
-
Article
Examples of hypergeometric twistor D-modules
(Mathematical Sciences Publishers, 2019-08-18)We show that certain one-dimensional hypergeometric differential systems underlie objects of the category of irregular ...
-
Article
Irregular Hodge filtration of some confluent hypergeometric systems
(Cambridge University Press, 2019-05-24)We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric D-modules. ...
-
Article
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 ...
-
Article
Exponents of Some One-Dimensional Gauss–Manin Systems
(European Mathematical Society Publishing House, 2017-07-03)In this paper we provide a purely algebraic characterization of the exponents of one-dimensional direct images of a structure ...
-
PhD Thesis
Categorías de descenso simplicial
(2007-12-19) -
PhD Thesis
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 ...
- PhD Thesis
-
Article
Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation
(London Mathematical Society, 2018)Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions ...
-
Article
The root extraction problem for generic braids
(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, ...
-
PhD Thesis
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 ...
-
Article
A rigid local system with monodromy group 2.J2
(Elsevier, 2019-05)We exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithmetic and geometric ...
-
PhD Thesis
Leaps of the chain of m-integrable derivations in the sense of Hasse-Schmidt
(2019-05-02)Sea k un anillo conmutativo. Los módulos de las k-derivaciones m-integrables (en el sentido de Hasse-Schmidt) de una ...
-
Article
Torsion homology and cellular approximation
(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 ...
-
Article
Homotopy theory of bicomplexes
(Elsevier, 2019-05)We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model ...
-
Article
Polynomial braid combing
(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.
-
Article
On the centralizer of generic braids
(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 ...
-
Article
A geometric description of the extreme Khovanov cohomology
(Cambridge University Press, 2018-06)We prove that the hypothetical extreme Khovanov cohomology of a link is the cohomology of the independence simplicial ...
-
Article
Finite monodromy of some families of exponential sums
(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 ...
-
PhD Thesis
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 ...