Bernstein polynomials and spectral numbers for linear free divisors

2009/05/07 by Christian Sevenheck, Sevenheck, Christian · 1 citation
Mathematics · #32S40 #34M35 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:32S40 #msc:34M35

paper · pdf · doi:10.48550/arxiv.0905.0971

14 pages

arxiv created 2010/06/14 · arxiv updated 2010/06/15

Abstract

We discuss Bernstein polynomials of reductive linear free divisors. We define suitable Brieskorn lattices for these non-isolated singularities, and show the analogue of Malgrange's result relating the roots of the Bernstein polynomial to the residue eigenvalues on the saturation of these Brieskorn lattices.

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• Duality theory of tautological systems

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