{
  "id": "1305.0216",
  "version": "v1",
  "published": "2013-05-01T16:20:23.000Z",
  "updated": "2013-05-01T16:20:23.000Z",
  "title": "Benedetto's trick and existence of rational preperiodic structures for quadratic polynomials",
  "authors": [
    "Xander Faber"
  ],
  "comment": "8 pages + references",
  "categories": [
    "math.NT"
  ],
  "abstract": "We refine a result of R. Benedetto in p-adic analysis in order to exhibit infinitely many quadratic polynomials with rational coefficients having a specified graph of rational preperiodic points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-01T16:20:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P35"
    ],
    "keywords": [
      "rational preperiodic structures",
      "quadratic polynomials",
      "benedettos trick",
      "rational preperiodic points",
      "p-adic analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.0216F"
    }
  }
}