{
  "id": "math/0011258",
  "version": "v1",
  "published": "2000-11-30T07:19:48.000Z",
  "updated": "2000-11-30T07:19:48.000Z",
  "title": "Picard numbers in a family of hyperkähler manifolds - A supplement to the article of R. Borcherds, L. Katzarkov, T. Pantev, N. I. Shepherd-Barron",
  "authors": [
    "Keiji Oguiso"
  ],
  "comment": "12 pages, AMS TeX",
  "categories": [
    "math.AG"
  ],
  "abstract": "We remark the density of the jumping loci of the Picard number of a hyperk\\\"ahler manifold under small one-dimensional deformation and provide some applications for the Mordell-Weil groups of Jacobian K3 surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-30T07:19:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "picard number",
      "hyperkähler manifolds",
      "shepherd-barron",
      "supplement",
      "jacobian k3 surfaces"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....11258O"
    }
  }
}