{
  "id": "math/0411170",
  "version": "v1",
  "published": "2004-11-08T18:03:34.000Z",
  "updated": "2004-11-08T18:03:34.000Z",
  "title": "F-thresholds and Bernstein-Sato polynomials",
  "authors": [
    "Mircea Mustata",
    "Shunsuke Takagi",
    "Kei-ichi Watanabe"
  ],
  "comment": "22 pages, submitted to the Proceedings of the 4th ECM, Stockolm, 2004",
  "journal": "European Congress of Mathematics, 341--364, Eur. Math. Soc., Z\\\"urich, 2005.",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We introduce and study invariants of singularities in positive characteristic called F-thresholds. They give an analogue of the jumping coefficients of multiplier ideals in characteristic zero. We discuss the connection between the invariants of an ideal in characteristic zero and the invariants of the different reduction mod p of this ideal. Our main point is that this relation depends on arithmetic properties of p. We also describe a new connection between invariants mod p and the roots of the Bernstein-Sato polynomial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-08T18:03:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "13A35"
    ],
    "keywords": [
      "bernstein-sato polynomial",
      "f-thresholds",
      "characteristic zero",
      "reduction mod",
      "multiplier ideals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11170M"
    }
  }
}