{
  "id": "2006.00051",
  "version": "v1",
  "published": "2020-05-29T19:53:38.000Z",
  "updated": "2020-05-29T19:53:38.000Z",
  "title": "Birational conjugacies between endomorphisms on the projective plane",
  "authors": [
    "Serge Cantat",
    "Junyi Xie"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AG",
    "math.DS"
  ],
  "abstract": "We proved that, in characteristic 0, if two dominant endomorphisms of the projective plane of degree at least 2 are conjugate by some birational transformation, then they are conjugate by an automorphism. We also gave counterexamples in positive characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-29T19:53:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective plane",
      "birational conjugacies",
      "gave counterexamples",
      "dominant endomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}