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Artículo
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Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
(Cornell University, 2008-04-14)
In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new ...
Artículo
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The module Dfs for locally quasi-homogeneous free divisors
(Springer, 2002-10)
We find explicit free resolutions for the D-modules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous ...
Artículo
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Gevrey and formal Nilsson solutions of A-hypergeometric systems
(Elsevier, 2020-02-10)
We prove that the space of Gevrey solutions of an A–hypergeometric system along a coordinate subspace is contained in a space of formal Nilsson solutions. Moreover, under some additional condition, both spaces are equal. ...
Artículo
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Estimates for exponential sums with a large automorphism group
(American Mathematical Society, 2012)
We prove some improvements of the classical Weil bound for one variable additive and multiplicative character sums associated to a polynomial over a finite field k = Fq for two classes of polynomials which are invariant ...
Tesis Doctoral
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Teorema de división para los operadores diferenciales y cálculo de multiplicidades de D-Modulos
(1984-10-31)
En el capítulo preliminar (Capítulo 0) se estudia la relación entre un módulo filtrado y el módulo graduado asociado y se definen diferentes filtraciones sobre el anillo de los operadores diferenciales. El capítulo 1 ...
Artículo
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Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology
(Springer, 2004)
In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the ...
Artículo
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Représentations banales de GLm(D)
(Foundation Compositio Mathematica, 2013)
Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of characteristic different from p. We define ...
Artículo
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K-theory of derivators revisited
(Mathematical Sciences Publishers, 2017)
We define a K-theory for pointed right derivators and show that it agrees with Waldhausen K-theory in the case where the derivator arises from a good Waldhausen category. This K-theory is not invariant under general ...
Artículo
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On the cycling operation in braid groups
(Elsevier, 2008-09-06)
The cycling operation is a special kind of conjugation that can be applied to elements in Artin’s braid groups, in order to reduce their length. It is a key ingredient of the usual solutions to the conjugacy problem in ...
Artículo
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On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group
(Springer, 2018-09-22)
The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a system formed only by round curves. We give an algorithm to compute it in a geometrical way. Then, we ...