{
  "id": "2101.09296",
  "version": "v1",
  "published": "2021-01-22T19:12:45.000Z",
  "updated": "2021-01-22T19:12:45.000Z",
  "title": "Misiurewicz polynomials for rational maps with nontrivial automorphisms II",
  "authors": [
    "Minsik Han"
  ],
  "comment": "11 pages, 1 figure",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "This paper continues discussions in the author's previous paper about the Misiurewicz polynomials defined for a family of degree $d \\ge 2$ rational maps with an automorphism group containing the cyclic group of order $d$. In particular, we extend the sufficient conditions that the Misiurewicz polynomials are irreducible over $\\mathbb{Q}$. We also prove that the Misiurewicz polynomials always have an irreducible factor of large degree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-22T19:12:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P05"
    ],
    "keywords": [
      "misiurewicz polynomials",
      "rational maps",
      "nontrivial automorphisms",
      "paper continues discussions",
      "large degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}