{
  "id": "math/0603436",
  "version": "v2",
  "published": "2006-03-17T20:10:58.000Z",
  "updated": "2007-04-10T23:29:08.000Z",
  "title": "A Shafarevich-Faltings Theorem For Rational Functions",
  "authors": [
    "Lucien Szpiro",
    "Thomas J. Tucker"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Using an alternative notion of good reduction, an analog of the Shafarevich theorem for elliptic curves is proved for morphisms of the projective line over number fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-04-10T23:29:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G25",
      "14G40",
      "11G05"
    ],
    "keywords": [
      "rational functions",
      "shafarevich-faltings theorem",
      "shafarevich theorem",
      "elliptic curves",
      "number fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3436S"
    }
  }
}