{
  "id": "1005.5619",
  "version": "v2",
  "published": "2010-05-31T08:36:02.000Z",
  "updated": "2010-11-08T07:29:00.000Z",
  "title": "Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4)",
  "authors": [
    "Tetsushi Ito",
    "Yoichi Mieda"
  ],
  "comment": "31 pages, Minor modifications",
  "categories": [
    "math.RT",
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper, we study the l-adic cohomology of the Rapoport-Zink tower for GSp(4). We prove that the smooth representation of GSp_4(Q_p) obtained as the i-th compactly supported l-adic cohomology of the Rapoport-Zink tower has no quasi-cuspidal subquotient unless i=2,3,4. Our proof is purely local and does not require global automorphic methods.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-08T07:29:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "22E50",
      "11F70"
    ],
    "keywords": [
      "cuspidal representations",
      "rapoport-zink space",
      "rapoport-zink tower",
      "global automorphic methods",
      "i-th compactly supported l-adic cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.5619I"
    }
  }
}