{
  "id": "math/0510434",
  "version": "v3",
  "published": "2005-10-20T09:19:42.000Z",
  "updated": "2007-01-08T08:05:59.000Z",
  "title": "Reducibility of rational functions in several variables",
  "authors": [
    "Arnaud Bodin"
  ],
  "comment": "14 pages, final version",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove a analogous of Stein theorem for rational functions in several variables: we bound the number of reducible fibers by a formula depending on the degree of the fraction.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-01-08T08:05:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational functions",
      "reducibility",
      "stein theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10434B"
    }
  }
}