{
  "id": "0707.3173",
  "version": "v4",
  "published": "2007-07-21T00:34:34.000Z",
  "updated": "2009-11-11T18:36:04.000Z",
  "title": "Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport",
  "authors": [
    "J. S. Milne"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We state an improved version of the conjecture of Langlands and Rapoport, and we prove the conjecture for a large class of Shimura varieties. In particular, we obtain the first proof of the (original) conjecture for Shimura varieties of PEL-type.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-11-11T18:36:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F55",
      "14G35"
    ],
    "keywords": [
      "shimura varieties",
      "finite fields",
      "conjecture",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.3173M"
    }
  }
}