{
  "id": "math/0402436",
  "version": "v2",
  "published": "2004-02-26T16:41:06.000Z",
  "updated": "2004-09-21T13:43:32.000Z",
  "title": "Alternating groups as monodromy groups in positive characteristic",
  "authors": [
    "Irene I. Bouw",
    "Stefan Wewers"
  ],
  "comment": "15 pages, revised version",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be a generic curve of genus $g$ defined over an algebraically closed field $k$ of characteristic $p\\geq 0$. We show that for $n$ sufficiently large there exists a tame rational map $f:X\\to \\PP^1_k$ with monodromy group $A_n$. This generalizes a result of Magaard--V\\\"olklein to positive characteristic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-09-21T13:43:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H30"
    ],
    "keywords": [
      "monodromy group",
      "positive characteristic",
      "alternating groups",
      "tame rational map",
      "generic curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2436B"
    }
  }
}