{
  "id": "0712.0692",
  "version": "v2",
  "published": "2007-12-05T11:09:30.000Z",
  "updated": "2008-11-03T21:41:22.000Z",
  "title": "Bounds for Behrend's conjecture on the canonical reduction",
  "authors": [
    "Jochen Heinloth"
  ],
  "comment": "Erroneous claim about orthogonal bundles in characteristic 2 removed",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove Behrend's conjecture on the rationality of the canonical reduction of principal bundles and reductive group schemes for classical groups and give new bounds for the conjecture for exceptional groups. However we find a counterexample in the case of G_2-bundles in characteristic 2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-03T21:41:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "behrends conjecture",
      "canonical reduction",
      "reductive group schemes",
      "exceptional groups",
      "principal bundles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0692H"
    }
  }
}