13 citations · 23 across the 5 of their papers we have counts for
5 papers
On `maximal' poles of zeta functions, roots of b-functions and monodromy Jordan blocks
A. Melle-Hernández, T. Torrelli, Willem Veys
The main objects of study in this paper are the poles of several local zeta functions: the Igusa, topological and motivic zeta function associated to a polynomial or (germ of) holo…
Intersection homology D-Modules and Bernstein polynomials associated with a complete intersection
Tristan Torrelli
Let X be a complex analytic manifold. Given a closed subspace of pure codimension p>0, we consider the sheaf of local algebraic cohomology , and…
On meromorphic functions defined by a differential system of order 1, II
Tristan Torrelli
Given a nonzero germ h of holomorphic function on (C^n,0), we study the condition: ``the ideal Ann\_D 1/h is generated by operators of order 1''. When h defines a generic arrangeme…
Multiplier Ideals, V-filtrations and Transversal Sections
A. Dimca, Ph. Maisonobe, M. Saito +1
We show that the restriction to a smooth transversal section commutes to the computation of multiplier ideals and V-filtrations. As an application we prove the constancy of the spe…
Logarithmic comparison theorem and D-modules: an overview
Tristan Torrelli
Let D be a divisor in a complex analytic manifold X. A natural problem is to determine when the de Rham complex of meromorphic forms on X with poles along D is quasi-isomorphic to…