{
  "id": "math/0403515",
  "version": "v1",
  "published": "2004-03-30T12:45:24.000Z",
  "updated": "2004-03-30T12:45:24.000Z",
  "title": "Computing the level of a modular rigid Calabi-Yau threefold",
  "authors": [
    "Luis Dieulefait"
  ],
  "comment": "to appear in Exp. Math",
  "categories": [
    "math.NT"
  ],
  "abstract": "In a previous article (a joint work with J. Manoharmayum) the modularity of a large class of rigid Calabi-Yau threefolds was established. To make that result more explicit, we recall (and re-prove) a result of Serre giving a bound for the conductor of an \"integral\" 2-dimensional compatible family of Galois representations and apply this result to give an algorithm that determines the level of a modular rigid Calabi-Yau threefold. We apply the algorithm to three examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-30T12:45:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modular rigid calabi-yau threefold",
      "large class",
      "joint work",
      "galois representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3515D"
    }
  }
}