{
  "id": "1006.1633",
  "version": "v5",
  "published": "2010-06-08T18:31:46.000Z",
  "updated": "2013-11-02T20:51:58.000Z",
  "title": "On the derived category of Grassmannians in arbitrary characteristic",
  "authors": [
    "Ragnar-Olaf Buchweitz",
    "Graham J. Leuschke",
    "Michel Van den Bergh"
  ],
  "comment": "22 pages, revisions as suggested by the referees",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results we construct dual exceptional collections on them (which are however not strong) as well as a tilting bundle. We show that this tilting bundle has a quasi-hereditary endomorphism ring and we identify the standard, costandard, projective and simple modules of the latter.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-11-02T20:51:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14M15",
      "15A75",
      "16S38"
    ],
    "keywords": [
      "arbitrary characteristic",
      "derived category",
      "grassmannians",
      "generalizing kapranovs well-known characteristic-zero results",
      "construct dual exceptional collections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.1633B"
    }
  }
}