{
  "id": "math/0210171",
  "version": "v1",
  "published": "2002-10-11T11:02:45.000Z",
  "updated": "2002-10-11T11:02:45.000Z",
  "title": "Local cohomology and D-affinity in positive characteristic",
  "authors": [
    "Masaki Kashiwara",
    "Niels Lauritzen"
  ],
  "journal": "C. R. Acad. Sci. Paris 335 (2002), 993-996.",
  "categories": [
    "math.AG",
    "math.AC",
    "math.RT"
  ],
  "abstract": "Comparing vanishing of local cohomology in zero and positive characteristic, we give an example of a D-module on a Grassmann variety in positive characteristic with non-vanishing first cohomology group. This is a counterexample to D-affinity and the Beilinson-Bernstein equivalence for flag manifolds in positive characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-11T11:02:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32C38",
      "14B15"
    ],
    "keywords": [
      "positive characteristic",
      "local cohomology",
      "d-affinity",
      "non-vanishing first cohomology group",
      "grassmann variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10171K"
    }
  }
}