Duality of Gauss-Manin systems associated to linear free divisors

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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.

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