{
  "id": "math/0102203",
  "version": "v2",
  "published": "2001-02-26T23:20:11.000Z",
  "updated": "2001-09-01T17:17:50.000Z",
  "title": "The T^1-lifting theorem in positive characteristic",
  "authors": [
    "Stefan Schroeer"
  ],
  "comment": "13 pages, minor changes, to appear in J. Algebraic Geom",
  "journal": "J. Algebraic Geom. 12 (2003), 699-714",
  "categories": [
    "math.AG"
  ],
  "abstract": "Replacing symmetric powers by divided powers and working over Witt vectors instead of ground fields, I generalize Kawamatas T^1-lifting theorem to characteristic p>0. Combined with the work of Deligne-Illusie on degeneration of the Hodge-de Rham spectral sequences, this gives unobstructedness for certain Calabi-Yau varieties with free crystalline cohomology modules.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-09-01T17:17:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D06",
      "14F40",
      "14J32",
      "32G05"
    ],
    "keywords": [
      "positive characteristic",
      "hodge-de rham spectral sequences",
      "free crystalline cohomology modules",
      "witt vectors",
      "replacing symmetric powers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......2203S"
    }
  }
}