Free divisors and duality for D-modules

Abstract

The relationship between $\mathcal{D}$-modules and free divisors has been studied in a general setting by L. Narváez and F.J. Calderón. Using the ideas of these works we prove in this article a duality formula between two $\mathcal{D}$-modules associated to a class of free divisors on ${\mathbf{C}}^n$ and we give some applications