{
  "id": "0711.3794",
  "version": "v3",
  "published": "2007-11-23T21:16:58.000Z",
  "updated": "2008-08-17T20:05:43.000Z",
  "title": "Bernstein-Sato polynomials in positive characteristic",
  "authors": [
    "Mircea Mustata"
  ],
  "comment": "26 pages; v.2: new section added, treating the decomposition of an arbitrary D-module under the Euler operators; v.3: final version, to appear in Journal of Algebra",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "In characteristic zero, the Bernstein-Sato polynomial of a hypersurface can be described as the minimal polynomial of the action of an Euler operator on a suitable D-module. We consider the analogous D-module in positive characteristic, and use it to define a sequence of Bernstein-Sato polynomials (corresponding to the fact that we need to consider also divided powers Euler operators). We show that the information contained in these polynomials is equivalent to that given by the F-jumping exponents of the hypersurface, in the sense of Hara and Yoshida.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-08-17T20:05:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13A35",
      "14B05",
      "32S40"
    ],
    "keywords": [
      "bernstein-sato polynomial",
      "positive characteristic",
      "divided powers euler operators",
      "minimal polynomial",
      "hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.3794M"
    }
  }
}