{
  "id": "1112.5383",
  "version": "v1",
  "published": "2011-12-22T17:03:21.000Z",
  "updated": "2011-12-22T17:03:21.000Z",
  "title": "Cohomology of Deligne-Lusztig varieties for groups of type A",
  "authors": [
    "Olivier Dudas"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We study the cohomology of parabolic Deligne-Lusztig varieties associated to unipotent blocks of GLn(q). We show that the geometric version of Brou\\'e's conjecture over Q_\\ell, together with Craven's formula, holds for any unipotent block whenever it holds for the principal Phi_1-block, that is for the variety X(\\pi).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-22T17:03:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohomology",
      "unipotent block",
      "broues conjecture",
      "cravens formula",
      "parabolic deligne-lusztig varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5383D"
    }
  }
}