{
  "id": "1111.2804",
  "version": "v2",
  "published": "2011-11-11T17:15:33.000Z",
  "updated": "2012-07-27T12:22:26.000Z",
  "title": "Modularity lifting in parallel weight one",
  "authors": [
    "Payman L. Kassaei"
  ],
  "comment": "25 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove an analogue of the main result of Buzzard and Taylor (Annals of Mathematics 149 (1999), 905-919) for totally real fields in which p is unramified. This can be used to prove certain cases of the strong Artin conjecture over totally real fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-27T12:22:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parallel weight",
      "modularity lifting",
      "totally real fields",
      "strong artin conjecture",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.2804K"
    }
  }
}