{
  "id": "2002.01039",
  "version": "v1",
  "published": "2020-02-03T22:37:07.000Z",
  "updated": "2020-02-03T22:37:07.000Z",
  "title": "Gleason-type polynomials for rational maps with nontrivial automorphisms",
  "authors": [
    "Minsik Han"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "In this paper, we consider a family of degree $d\\ge 2$ rational maps with an automorphism group containing the cyclic group of order $d$. We construct a polynomial whose roots are the values of parametrizing variable of the family which make the corresponding map be post-critically finite with a certain dynamical portrait. Then we prove that the polynomial is irreducible in certain cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-03T22:37:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P05"
    ],
    "keywords": [
      "rational maps",
      "nontrivial automorphisms",
      "gleason-type polynomials",
      "cyclic group",
      "corresponding map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}