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Artículo
Tautological systems and free divisors
(Elsevier, 2019-08-20)
We introduce tautological systems defined by prehomogeneous actions of reductive algebraic groups. If the complement of the open orbit is a linear free divisor satisfying a certain finiteness condition, we show that these ...
Artículo
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
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 ...
Capítulo de Libro
On Hasse–Schmidt Derivations: The Action of Substitution Maps
(Springer, 2018-09-19)
We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations. This structure appears as a counterpart of the module structure on classical ...
Artículo
Cohomology of the complement of a free divisor
(American Mathematical Society, 1996-08)
We prove that if D is a "strongly quasihomogeneous" free divi- sor in the Stein manifold X, and U is its complement, then the de Rham cohomology of U can be computed as the cohomology of the complex of mero- morphic ...
Artículo
Explicit models for perverse sheaves
(European Mathematical Society, 2003)
We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process of gluing t-structures and we exhibit explicit abelian categories defined in terms of standard sheaves ...
Artículo
Continuous division of differential operators
(Association des Annales de l'Institut Fourier, 2001)
In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant ...
Artículo
Algebraic computation of some intersection D-modules
(Springer, 2006)
Let X be a complex analytic manifold, D ⊂ X a locally quasi-homogeneous free divisor, E an integrable logarithmic connection with respect to D and L the local system of the horizontal sections of E on X − D. In this ...
Artículo
Cohomologie évanescente p-adique: calculs locaux
(Università di Padova, 2000)
Tesis Doctoral
Descripción explícita de t-estructuras sobre espacios estratificados
(2000)
"En el presenta trabajo abordamos la cuestión anterior de la descripción de las categorías de haces perversos desde un punto de vista general y puramente topológico, desarrollando el método iniciado en [NM94], y poniendo ...