16 citations · 19 across the 5 of their papers we have counts for
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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…
On the bracket of integrable derivations
Luis Narváez-Macarro, María de la Paz Tirado Hernández
We prove that any multi-variate Hasse-Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse-Schmidt derivations. As a consequence we prove that t…
Hodge ideals of free divisors
Alberto Castaño Domínguez, Luis Narváez Macarro, Christian Sevenheck
We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration step…
Tautological systems and free divisors
Luis Narváez Macarro, Christian Sevenheck
We introduce tautological system defined by prehomogenous actions of reductive algebraic groups. If the complement of the open orbit is a linear free divisor satisfying a certain f…
On the modules of m-integrable derivations in non-zero characteristic
Luis Narváez-Macarro
Let be a commutative ring and a commutative -algebra. Given a positive integer , or , we say that a -linear derivation of is -integrable if it…