{
  "id": "1112.5073",
  "version": "v5",
  "published": "2011-12-21T16:09:20.000Z",
  "updated": "2013-02-01T20:45:21.000Z",
  "title": "On symplectic automorphisms of hyperkähler fourfolds of K3^[2] type",
  "authors": [
    "Giovanni Mongardi"
  ],
  "comment": "Final version, to appear on Mich. Math. J",
  "journal": "Michigan Math. J. vol. 62 no. 3 537-550 (2013)",
  "doi": "10.1307/mmj/1378757887",
  "categories": [
    "math.AG"
  ],
  "abstract": "The present paper proves that finite symplectic groups of automorphisms of hyperk\\\"ahler fourfolds deformation equivalent to the Hilbert scheme of two points on a $K3$ surface are contained in the simple group $Co_1$. Then we give an example of a symplectic automorphism of order 11 on the Fano scheme of lines of a cubic fourfold.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-02-01T20:45:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50",
      "11H56"
    ],
    "keywords": [
      "symplectic automorphism",
      "hyperkähler fourfolds",
      "fourfolds deformation equivalent",
      "finite symplectic groups",
      "hilbert scheme"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5073M"
    }
  }
}