{
  "id": "0904.3974",
  "version": "v2",
  "published": "2009-04-25T10:32:40.000Z",
  "updated": "2009-05-21T10:33:40.000Z",
  "title": "Hyper-Kähler fourfolds and Grassmann geometry",
  "authors": [
    "Olivier Debarre",
    "Claire Voisin"
  ],
  "comment": "Typos corrected. Connection made with the work of Gritsenko, Hulek, and Sankaran on the Kodaira dimension of moduli spaces of hyper-Kaehler manifolds (arXiv:0802.2078)",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct a new 20-dimensional family of algebraic hyper-Kaehler fourfolds and prove that they are deformation-equivalent to the second punctual Hilbert scheme of a K3 surface of degree 22.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-05-21T10:33:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J35",
      "14M15",
      "14J70"
    ],
    "keywords": [
      "hyper-kähler fourfolds",
      "grassmann geometry",
      "second punctual hilbert scheme",
      "algebraic hyper-kaehler fourfolds",
      "k3 surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3974D"
    }
  }
}