{
  "id": "1203.1222",
  "version": "v1",
  "published": "2012-03-06T15:11:59.000Z",
  "updated": "2012-03-06T15:11:59.000Z",
  "title": "Finiteness of commutable maps of bounded degree",
  "authors": [
    "Chong Gyu Lee",
    "Hexi Ye"
  ],
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "In this paper, we study the relation between two dynamical systems (V,f) and (V,g) with f. g = g . f. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Pre(f) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-06T15:11:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11C08",
      "37F10",
      "37P05",
      "37P35"
    ],
    "keywords": [
      "bounded degree",
      "commutable maps",
      "finiteness",
      "zariski dense",
      "endomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1222L"
    }
  }
}