English

Bernstein polynomials and spectral numbers for linear free divisors

Algebraic Geometry 2010-06-15 v4

Abstract

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.

Keywords

Cite

@article{arxiv.0905.0971,
  title  = {Bernstein polynomials and spectral numbers for linear free divisors},
  author = {Christian Sevenheck},
  journal= {arXiv preprint arXiv:0905.0971},
  year   = {2010}
}

Comments

14 pages

R2 v1 2026-06-21T12:59:06.957Z