{
  "id": "1810.09730",
  "version": "v1",
  "published": "2018-10-23T08:55:20.000Z",
  "updated": "2018-10-23T08:55:20.000Z",
  "title": "Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces",
  "authors": [
    "Nikon Kurnosov",
    "Egor Yasinsky"
  ],
  "comment": "24 pages, 2 figures",
  "categories": [
    "math.AG",
    "math.GR",
    "math.MG"
  ],
  "abstract": "We study groups of bimeromorphic and biholomorphic automorphisms of projective hyperk\\\"ahler manifolds. Using an action of these groups on some non-positively curved space, we deduce many of their properties, including finite presentation, strong form of Tits' alternative and some structural results about groups consisting of transformations with infinite order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-23T08:55:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperkähler manifolds",
      "groups acting",
      "study groups",
      "biholomorphic automorphisms",
      "finite presentation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}