{
  "id": "0905.2383",
  "version": "v1",
  "published": "2009-05-14T17:30:37.000Z",
  "updated": "2009-05-14T17:30:37.000Z",
  "title": "Canonical Subgroups over Hilbert Modular Varieties",
  "authors": [
    "Eyal Z. Goren",
    "Payman L Kassaei"
  ],
  "comment": "56 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We obtain new results on the geometry of Hilbert modular varieties in positive characteristic and morphisms between them. Using these results and methods of rigid geometry, we develop a theory of canonical subgroups for abelian varieties with real multiplication.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-14T17:30:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "11G18",
      "11F85",
      "11F33"
    ],
    "keywords": [
      "hilbert modular varieties",
      "canonical subgroups",
      "rigid geometry",
      "abelian varieties",
      "real multiplication"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 56,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.2383G"
    }
  }
}