Free divisors and duality for D-modules

2001/03/14 by Francisco Jesús Castro Jiménez, F. J. Castro-Jimenez, Castro-Jimenez, F. J. +2 · 4 citations
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #math.AC #math.AG #msc:13N10 #msc:13P10 #msc:14F40 #msc:32C38

paper · pdf · doi:10.48550/arxiv.math/0103085

arxiv created 2001/03/14 · arxiv updated 2009/11/30

Abstract

The relationship between \cal 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 \cal D-modules associated to a class of free divisors on \bf Cⁿ and we give some applications

Cited by

• Algebraic computation of some intersection D-modules
• Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
• A vanishing theorem for a class of logarithmic D-modules
• Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic arrangements

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• Duality of Gauss-Manin systems associated to linear free divisors
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