Bernstein polynomials and spectral numbers for linear free divisors

Details Bernstein polynomials and spectral numbers for linear free divisors Bernstein polynomials and spectral numbers for linear free divisors

2009-05-07

arxiv.org/abs/0905.0971v4

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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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