{
  "id": "math/0302064",
  "version": "v2",
  "published": "2003-02-06T14:59:39.000Z",
  "updated": "2003-06-29T11:42:07.000Z",
  "title": "Some Calabi-Yau threefolds with obstructed deformations over the Witt vectors",
  "authors": [
    "Stefan Schroeer"
  ],
  "comment": "16 pages, some proofs simplified, discriminants in Theorem 6.4 corrected",
  "journal": "Compos. Math. 140 (2004), no. 6, 1579--1592",
  "categories": [
    "math.AG"
  ],
  "abstract": "I construct some smooth Calabi-Yau threefolds in characteristic two and three that do not lift to characteristic zero. These threefolds are pencils of supersingular K3-surfaces. The construction depends on Moret-Bailly's pencil of abelian surfaces and Katsura's analysis of generalized Kummer surfaces. The threefold in characteristic two turns out to be nonrigid.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-06-29T11:42:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14J30",
      "14J32",
      "14K10"
    ],
    "keywords": [
      "witt vectors",
      "obstructed deformations",
      "smooth calabi-yau threefolds",
      "characteristic zero",
      "supersingular k3-surfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2064S"
    }
  }
}