{
  "id": "math/9911105",
  "version": "v1",
  "published": "1999-11-15T13:34:44.000Z",
  "updated": "1999-11-15T13:34:44.000Z",
  "title": "Families of hyperkähler manifolds",
  "authors": [
    "K. Oguiso"
  ],
  "comment": "16 pages, AMSTeX",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show the density of the jumping loci of the Picard number of a hyperk\\\"ahler manifold under small deformation and provide several applications. In particular, we apply this to reveal the structure of hierarchy among all the narrow Mordell-Weil lattices of Jacobian K3 surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-11-15T13:34:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J05",
      "14J10",
      "14J28",
      "14E27"
    ],
    "keywords": [
      "hyperkähler manifolds",
      "narrow mordell-weil lattices",
      "jacobian k3 surfaces",
      "small deformation",
      "picard number"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....11105O"
    }
  }
}