{
  "id": "1303.2349",
  "version": "v2",
  "published": "2013-03-10T17:42:43.000Z",
  "updated": "2013-04-01T20:47:38.000Z",
  "title": "Effective freeness and very ampleness in positive characteristic",
  "authors": [
    "Hiromu Tanaka"
  ],
  "comment": "This paper has been withdrawn by the author due to serious mistakes",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we establish a basepoint free theorem of Angehrn-Siu type in positive characteristic. Moreover, we also give an effective bound for very ampleness in arbitrary characteristic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-01T20:47:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive characteristic",
      "effective freeness",
      "basepoint free theorem",
      "arbitrary characteristic",
      "angehrn-siu type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.2349T"
    }
  }
}