{
  "id": "1207.3653",
  "version": "v3",
  "published": "2012-07-16T12:34:39.000Z",
  "updated": "2013-11-08T12:46:33.000Z",
  "title": "On the Cone conjecture for Calabi-Yau manifolds with Picard number two",
  "authors": [
    "Vladimir Lazić",
    "Thomas Peternell"
  ],
  "comment": "to appear in Math. Res. Lett",
  "journal": "Math. Res. Lett. 20 (2013), no. 6, 1103-1113",
  "categories": [
    "math.AG"
  ],
  "abstract": "Following a recent work of Oguiso, we calculate explicitly the groups of automorphisms and birational automorphisms on a Calabi-Yau manifold with Picard number two. When the group of birational automorphisms is infinite, we prove that the Cone conjecture of Morrison and Kawamata holds.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-11-08T12:46:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "14E07",
      "14E30",
      "14J50"
    ],
    "keywords": [
      "picard number",
      "calabi-yau manifold",
      "cone conjecture",
      "birational automorphisms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.3653L"
    }
  }
}