{
  "id": "math/0105241",
  "version": "v2",
  "published": "2001-05-29T12:43:51.000Z",
  "updated": "2004-02-17T18:12:53.000Z",
  "title": "Subvarieties of Shimura varieties",
  "authors": [
    "Bas Edixhoven",
    "Andrei Yafaev"
  ],
  "comment": "25 pages, published version",
  "journal": "Ann. of Math. (2), Vol. 157 (2003), no. 2, 621--645",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "A conjecture by Yves Andre and Frans Oort says that closed subvarieties of Shimura varieties that contain a Zariski dense subset of special points are subvarieties of Hodge type. We prove this in the case where the subvariety is a curve that contains infinitely many special points that lie in one Hecke orbit. Via work of Juergen Wolfart, Paula Cohen and Gisbert Wuestholz, this result has an application to algebraicity of values of hypergeometric functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-17T18:12:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "11G18"
    ],
    "keywords": [
      "shimura varieties",
      "subvariety",
      "special points",
      "frans oort says",
      "zariski dense subset"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......5241E"
    }
  }
}