{
  "id": "1205.1408",
  "version": "v3",
  "published": "2012-05-07T14:38:53.000Z",
  "updated": "2012-07-24T09:56:53.000Z",
  "title": "Modularity of abelian varieties over $\\Q$ with bad reduction in one prime only",
  "authors": [
    "Hendrik Verhoek"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that certain abelian varieties over $\\Q$ with bad reduction at one prime only are modular by using methods based on the tables of Odlyzko and class field theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-07-24T09:56:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K15",
      "11G10",
      "11G05",
      "11G18"
    ],
    "keywords": [
      "bad reduction",
      "abelian varieties",
      "modularity",
      "class field theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.1408V"
    }
  }
}