Duality of Gauss-Manin systems associated to linear free divisors

Abstract

We investigate differential systems occurring in the study of particular non-isolated singularities, the so-called linear free divisors. We obtain a duality theorem for these D-modules taking into account filtrations, and deduce degeneration properties of certain Frobenius manifolds associated to linear sections of the Milnor fibres of the divisor.

References in corpus (2)

• A construction of Frobenius manifolds with logarithmic poles and applications
• The small quantum cohomology of a weighted projective space, a mirror D-module and their classical limits