{
  "id": "math/0508163",
  "version": "v1",
  "published": "2005-08-10T08:33:06.000Z",
  "updated": "2005-08-10T08:33:06.000Z",
  "title": "Improvements on Dieulefait-Manoharmayum and applications",
  "authors": [
    "Luis V. Dieulefait"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We improve the results in a previous article of Dieulefait and Manoharmayum and we deduce some stronger modularity results. In particular we deduce that any rigid Calabi-Yau threefold defined over Q with good reduction at 5 is modular and we also obtain a fairly general version of the principle of \"switching the residual characteristic\" used in proofs of cases of Serre's conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-10T08:33:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "improvements",
      "applications",
      "dieulefait-manoharmayum",
      "stronger modularity results",
      "residual characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8163D"
    }
  }
}