{
  "id": "1302.2309",
  "version": "v2",
  "published": "2013-02-10T09:21:48.000Z",
  "updated": "2013-11-08T03:50:21.000Z",
  "title": "Infinite transitivity on universal torsors",
  "authors": [
    "Ivan Arzhantsev",
    "Alexander Perepechko",
    "Hendrik Süß"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be an algebraic variety covered by open charts isomorphic to the affine space and q: X' \\to X be the universal torsor over X. We prove that the automorphism group of the quasiaffine variety X' acts on X' infinitely transitively. Also we find wide classes of varieties X admitting such a covering.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-08T03:50:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14R20",
      "14J50",
      "14L30"
    ],
    "keywords": [
      "universal torsor",
      "infinite transitivity",
      "open charts isomorphic",
      "affine space",
      "wide classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.2309A"
    }
  }
}