{
  "id": "1307.1784",
  "version": "v4",
  "published": "2013-07-06T13:50:23.000Z",
  "updated": "2014-05-11T10:13:09.000Z",
  "title": "Jordan property for groups of birational selfmaps",
  "authors": [
    "Yuri Prokhorov",
    "Constantin Shramov"
  ],
  "comment": "LaTeX, 19 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Assuming a particular case of Borisov--Alexeev--Borisov conjecture, we prove that finite subgroups of the automorphism group of a finitely generated field over Q have bounded orders. Further, we investigate which algebraic varieties have groups of birational selfmaps satisfying the Jordan property.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-05-11T10:13:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E07",
      "14E05",
      "14E30",
      "14J45",
      "14J40"
    ],
    "keywords": [
      "jordan property",
      "algebraic varieties",
      "automorphism group",
      "finite subgroups",
      "borisov-alexeev-borisov conjecture"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1784P"
    }
  }
}