# Bernstein polynomials and spectral numbers for linear free divisors

@article{Sevenheck2009BernsteinPA, title={Bernstein polynomials and spectral numbers for linear free divisors}, author={Christian Sevenheck}, journal={Annales de l'Institut Fourier}, year={2009}, volume={61}, pages={379-400} }

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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