68 citations · 82 across the 5 of their papers we have counts for
4 papers · 1 filter
On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities
Alberto Castaño Domínguez, Luis Narváez Macarro
Given two holomorphic functions and defined in two respective germs of complex analytic manifolds and , we know thanks to M. Saito that, as long as one of th…
Examples of hypergeometric twistor -modules
Alberto Castaño Domínguez, Thomas Reichelt, Christian Sevenheck
We show that certain one-dimensional hypergeometric differential systems underlie objects of the category of irregular mixed Hodge modules, which was recently introduced by Sabbah,…
Irregular Hodge filtration of some confluent hypergeometric systems
Alberto Castaño Domínguez, Christian Sevenheck
We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric -modules. We obtain in particular a formula for the irreg…
Exponents of some one-dimensional Gauss-Manin cohomologies
Alberto Castaño Domínguez
In this paper we provide a purely algebraic characterization of the exponents of one-dimensional direct images of a structure sheaf by a rational function, related to the vanishing…