{
  "id": "math/0610196",
  "version": "v1",
  "published": "2006-10-05T15:09:30.000Z",
  "updated": "2006-10-05T15:09:30.000Z",
  "title": "Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups",
  "authors": [
    "Jérémy Blanc"
  ],
  "comment": "17 pages, no figures",
  "journal": "Manuscripta Math. 119 (2006), no. 2, 225--241",
  "doi": "10.1007/s00229-005-0617-7",
  "categories": [
    "math.AG",
    "math.RA"
  ],
  "abstract": "We describe the conjugacy classes of affine automorphisms in the group $Aut(n,\\K)$ (respectively $Bir(\\K^n)$) of automorphisms (respectively of birational maps) of $\\K^n$. From this we deduce also the classification of conjugacy classes of automorphisms of $\\Pn$ in the Cremona group $Bir(\\K^n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-05T15:09:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E07",
      "14J26",
      "14J50",
      "14L27",
      "14L35",
      "14R10",
      "14R20"
    ],
    "keywords": [
      "conjugacy classes",
      "cremona group",
      "affine automorphisms",
      "linear automorphisms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10196B"
    }
  }
}