{
  "id": "1311.6695",
  "version": "v2",
  "published": "2013-11-26T15:00:19.000Z",
  "updated": "2013-12-02T15:31:07.000Z",
  "title": "A Criterion for Potentially Good Reduction in Non-archimedean Dynamics",
  "authors": [
    "Robert L. Benedetto"
  ],
  "comment": "7 pages; typos corrected and a little extra commentary added",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "Let K be a non-archimedean field, and let f in K(z) be a polynomial or rational function of degree at least 2. We present a necessary and sufficient condition, involving only the fixed points of f and their preimages, that determines whether or not the dynamical system f on P^1 has potentially good reduction.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-02T15:31:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P05"
    ],
    "keywords": [
      "non-archimedean dynamics",
      "non-archimedean field",
      "rational function",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.6695B"
    }
  }
}