{
  "id": "2210.17521",
  "version": "v1",
  "published": "2022-10-31T17:42:52.000Z",
  "updated": "2022-10-31T17:42:52.000Z",
  "title": "Rational maps with rational multipliers",
  "authors": [
    "Valentin Huguin"
  ],
  "comment": "8 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this article, we show that every rational map whose multipliers all lie in a given number field is a power map, a Chebyshev map or a Latt\\`{e}s map. This strengthens a conjecture by Milnor concerning rational maps with integer multipliers, which was recently proved by Ji and Xie.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-31T17:42:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P35",
      "37F10",
      "37P05"
    ],
    "keywords": [
      "rational multipliers",
      "milnor concerning rational maps",
      "power map",
      "number field",
      "chebyshev map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}