{
  "id": "1110.5082",
  "version": "v2",
  "published": "2011-10-23T20:19:53.000Z",
  "updated": "2013-04-11T13:38:26.000Z",
  "title": "Multiplier Spectra and the Moduli Space of Degree 3 Morphisms on P1",
  "authors": [
    "Benjamin Hutz",
    "Michael Tepper"
  ],
  "comment": "This version includes the code for the computations (which are not in the journal publication). To appear in JP Journal of Algebra, Number Theory and Applications",
  "categories": [
    "math.NT"
  ],
  "abstract": "The moduli space of degree $d$ morphisms on $\\mathbb{P}^1$ has received much study. McMullen showed that, except for certain families of Latt\\`es maps, there is a finite-to-one correspondence (over $\\mathbb{C}$) between classes of morphisms in the moduli space and the multipliers of the periodic points. For degree 2 morphisms Milnor (over $\\mathbb{C}$) and Silverman (over $\\mathbb{Z}$) showed that the correspondence is an isomorphism. In this article we address two cases: polynomial maps of any degree and rational maps of degree 3.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-11T13:38:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P05",
      "37P45"
    ],
    "keywords": [
      "moduli space",
      "multiplier spectra",
      "morphisms milnor",
      "periodic points",
      "rational maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.5082H"
    }
  }
}