{
  "id": "0911.3599",
  "version": "v2",
  "published": "2009-11-18T16:49:20.000Z",
  "updated": "2011-04-13T10:20:35.000Z",
  "title": "Higher direct images of the structure sheaf in positive characteristic",
  "authors": [
    "Andre Chatzistamatiou",
    "Kay Rülling"
  ],
  "comment": "69 pages, revision, to appear in ANT",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove vanishing of the higher direct images of the structure (and the canonical) sheaf for a proper birational morphism with source a smooth variety and target the quotient of a smooth variety by a finite group of order prime to the characteristic of the ground field. We also show that for smooth projective varieties the cohomology of the structure sheaf is a birational invariant. These results are well-known in characteristic zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-13T10:20:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher direct images",
      "structure sheaf",
      "positive characteristic",
      "smooth variety",
      "proper birational morphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 69,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.3599C"
    }
  }
}