{
  "id": "math/0512338",
  "version": "v2",
  "published": "2005-12-14T18:50:09.000Z",
  "updated": "2006-07-24T07:47:10.000Z",
  "title": "Finite orbits for rational functions",
  "authors": [
    "J. K. Canci"
  ],
  "comment": "13 pages. Changed content",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "Let $K$ be a number field and $\\phi\\in K(z)$ a rational function. Let $S$ be the set of all archimedean places of $K$ and all non-archimedean places associated to the prime ideals of bad reduction for $\\phi$. We prove an upper bound for length of finite orbits of $\\phi$ in $\\mathbb{P}_1(K)$ depending only on the cardinality of $S$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-07-24T07:47:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G99",
      "14E05"
    ],
    "keywords": [
      "rational function",
      "finite orbits",
      "upper bound",
      "number field",
      "prime ideals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12338C"
    }
  }
}