{
  "id": "math/0611018",
  "version": "v1",
  "published": "2006-11-01T09:27:50.000Z",
  "updated": "2006-11-01T09:27:50.000Z",
  "title": "The number of conjugacy classes of elements of the Cremona group of some given finite order",
  "authors": [
    "Jérémy Blanc"
  ],
  "comment": "14 pages",
  "journal": "Bull. Soc. Math. France 135 (2007), no. 3, 419-434",
  "categories": [
    "math.AG"
  ],
  "abstract": "This note presents the study of the conjugacy classes of elements of some given finite order n in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if n is even, n=3 or n=5, and that it is equal to 3 (respectively 9) if n=9 (respectively 15), and is exactly 1 for all remaining odd orders. Some precise representative elements of the classes are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-01T09:27:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E07"
    ],
    "keywords": [
      "conjugacy classes",
      "cremona group",
      "finite order",
      "remaining odd orders",
      "precise representative elements"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11018B"
    }
  }
}