{
  "id": "0907.4045",
  "version": "v3",
  "published": "2009-07-23T12:43:41.000Z",
  "updated": "2009-11-10T03:46:46.000Z",
  "title": "Bounding symbolic powers via asymptotic multiplier ideals",
  "authors": [
    "Zach Teitler"
  ],
  "comment": "10 pages. Primarily exposition. Originally written as appendix to lecture notes by Brian Harbourne. v2: Minor changes. v3: Final version, appeared in Ann. Univ. Pedagog. Crac. Stud. Math",
  "journal": "Ann. Univ. Pedagog. Crac. Stud. Math. 8 (2009), 67--77",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We revisit a bound on symbolic powers found by Ein-Lazarsfeld-Smith and subsequently improved by Takagi-Yoshida. We show that the original argument of Ein-Lazarsfeld-Smith actually gives the same improvement. On the other hand, we show by examples that any further improvement based on the same technique appears unlikely. This is primarily an exposition; only some examples and remarks might be new.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-10T03:46:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05"
    ],
    "keywords": [
      "asymptotic multiplier ideals",
      "bounding symbolic powers",
      "ein-lazarsfeld-smith",
      "improvement",
      "original argument"
    ],
    "tags": [
      "journal article",
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.4045T"
    }
  }
}