{
  "id": "1012.0725",
  "version": "v1",
  "published": "2010-12-03T12:57:44.000Z",
  "updated": "2010-12-03T12:57:44.000Z",
  "title": "Liftings of Reduction Maps for Quaternion Algebras",
  "authors": [
    "Christophe Cornut",
    "Dimitar Jetchev"
  ],
  "comment": "17 pages",
  "doi": "10.1112/blms/bds098",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We construct liftings of reduction maps from CM points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefinite quaternion algebras with a given conductor and CM points on certain corresponding totally definite quaternion algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-03T12:57:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G15",
      "11G18",
      "11R52"
    ],
    "keywords": [
      "reduction maps",
      "cm points",
      "general quaternion algebras",
      "indefinite quaternion algebras",
      "corresponding totally definite quaternion algebras"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.0725C"
    }
  }
}