Duality of Gauss-Manin systems associated to linear free divisors
Christian Sevenheck
TL;DR
This paper explores the duality properties of Gauss-Manin systems linked to linear free divisors, revealing new duality theorems and degeneration behaviors of related Frobenius manifolds in the context of singularity theory.
Contribution
It introduces a duality theorem for D-modules associated with linear free divisors, advancing understanding of their structure and related Frobenius manifolds.
Findings
Established a duality theorem for Gauss-Manin systems
Demonstrated degeneration properties of Frobenius manifolds
Analyzed filtrations in D-modules related 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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology