{
  "id": "math/0211129",
  "version": "v2",
  "published": "2002-11-07T10:47:20.000Z",
  "updated": "2003-05-05T09:25:26.000Z",
  "title": "Correspondences between K3 surfaces",
  "authors": [
    "Federica Galluzzi",
    "Giuseppe Lombardo"
  ],
  "comment": "With an appendix by Igor Dolgachev. To appear on the Michigan Mathematical Journal. 19 pages, LaTex with xy-pic,1 figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we show that there is a correspondence between some $K3$ surfaces with non-isometric transcendental lattices constructed as a twist of the transcendental lattice of the Jacobian of a generic genus 2 curve. Moreover, we show the existence of a correspondence between a general $K3$ surface with $\\rho =17$ and a Kummer surface having transcendental lattices $\\QQ$-Hodge isomorphic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-05-05T09:25:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14K02"
    ],
    "keywords": [
      "k3 surfaces",
      "correspondence",
      "non-isometric transcendental lattices",
      "generic genus",
      "kummer surface"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11129G"
    }
  }
}