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Bernstein polynomials and spectral numbers for linear free divisors

Christian Sevenheck (2011)

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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