{
  "id": "0905.0971",
  "version": "v4",
  "published": "2009-05-07T09:01:48.000Z",
  "updated": "2010-06-14T12:03:19.000Z",
  "title": "Bernstein polynomials and spectral numbers for linear free divisors",
  "authors": [
    "Christian Sevenheck"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-06-14T12:03:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S40",
      "34M35"
    ],
    "keywords": [
      "bernstein polynomial",
      "spectral numbers",
      "reductive linear free divisors",
      "define suitable brieskorn lattices",
      "residue eigenvalues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.0971S"
    }
  }
}