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arxiv: 0905.0971 · v4 · submitted 2009-05-07 · 🧮 math.AG

Bernstein polynomials and spectral numbers for linear free divisors

classification 🧮 math.AG
keywords bernsteinbrieskorndivisorsfreelatticeslinearpolynomialsanalogue
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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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