{
  "id": "math/0202026",
  "version": "v1",
  "published": "2002-02-04T15:05:26.000Z",
  "updated": "2002-02-04T15:05:26.000Z",
  "title": "Congruence relations for Shimura varieties associated to some unitary groups",
  "authors": [
    "O. Bueltel",
    "T. Wedhorn"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper we study the reduction of PEL-Shimura varieties associated to unitary groups of signature (n-1,1) in the inert and unramified case. We describe the Newton polygon and the Ekedahl-Oort stratification. We further study the associated moduli space of isogenies and use a variant of the local model to give a generic description. As an application we prove a conjecture of Blasius und Rogawski about the congruence relation if the integer n is even.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-02-04T15:05:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "14K10",
      "14G10",
      "11G15",
      "14K02",
      "11G25"
    ],
    "keywords": [
      "shimura varieties",
      "congruence relation",
      "unitary groups",
      "blasius und rogawski",
      "local model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......2026B"
    }
  }
}