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Duality of Gauß–Manin systems associated to linear free divisors

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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 \({\mathcal{D}}\) -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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  1. Lehrstuhl für Mathematik VI, Institut für Mathematik, Universität Mannheim, A56, 68131, Mannheim, Germany

    Christian Sevenheck

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  1. Christian Sevenheck
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Correspondence to Christian Sevenheck.

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Sevenheck, C. Duality of Gauß–Manin systems associated to linear free divisors. Math. Z. 274, 249–261 (2013). https://doi.org/10.1007/s00209-012-1068-y

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  • DOI: https://doi.org/10.1007/s00209-012-1068-y

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