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

Cited by in corpus (9)

• A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors
• On the logarithmic comparison theorem for integrable logarithmic connections
• Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
• Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
• A vanishing theorem for a class of logarithmic D-modules
• Survey on the $D$-module $f^s$
• Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic arrangements
• Algebraic computation of some intersection D-modules
• Logarithmic Comparison Theorem and Euler homogeneity for free divisors