{
  "id": "math/0108222",
  "version": "v2",
  "published": "2001-08-31T09:33:48.000Z",
  "updated": "2014-04-27T16:49:03.000Z",
  "title": "Belyi's theorem revisited",
  "authors": [
    "Bernhard Köck"
  ],
  "comment": "12 pages; v2: minor changes",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We give an elementary, self-contained and quick proof of Belyi's theorem. As a by-product of our proof we obtain an explicit bound for the degree of the defining number field of a Belyi surface.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-27T16:49:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H30",
      "14H25",
      "12F10"
    ],
    "keywords": [
      "belyis theorem",
      "explicit bound",
      "quick proof",
      "defining number field",
      "belyi surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8222K"
    }
  }
}