{
  "id": "0911.0625",
  "version": "v2",
  "published": "2009-11-03T17:44:21.000Z",
  "updated": "2014-04-14T16:22:31.000Z",
  "title": "Faithful action on the space of global differentials of an algebraic curve",
  "authors": [
    "Bernhard Köck"
  ],
  "comment": "7 pages. The content of this short preprint is now part of the larger preprint arXiv:1404.3135",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Given a faithful action of a finite group on an algebraic curve of genus at least 2, we prove that the induced action on the space of global holomorphic differentials is faithful as well, except in the following very special case: the given action is not tame, the genus of the quotient curve is 0 and the characteristic of the base field is 2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-14T16:22:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H30",
      "14F10",
      "11R32"
    ],
    "keywords": [
      "algebraic curve",
      "faithful action",
      "global differentials",
      "global holomorphic differentials",
      "base field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0625K"
    }
  }
}