Bernstein polynomials and spectral numbers for linear free divisors

  title={Bernstein polynomials and spectral numbers for linear free divisors},
  author={Christian Sevenheck},
  journal={Annales de l'Institut Fourier},
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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