{
  "id": "0902.1466",
  "version": "v3",
  "published": "2009-02-09T16:19:51.000Z",
  "updated": "2010-08-28T14:02:54.000Z",
  "title": "Rigid Calabi-Yau Threefolds over Q Are Modular",
  "authors": [
    "Fernando Q. Gouvea",
    "Noriko Yui"
  ],
  "comment": "Final version to appear in Expositiones Mathematicae",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The proof of Serre's conjecture on Galois representations over finite fields allows us to show, using a method due to Serre himself, that all rigid Calabi-Yau threefolds defined over Q are modular.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-08-28T14:02:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "11F30",
      "11F03",
      "11F11"
    ],
    "keywords": [
      "rigid calabi-yau threefolds",
      "serres conjecture",
      "serre himself",
      "galois representations",
      "finite fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.1466G"
    }
  }
}