{
  "id": "math/0601516",
  "version": "v3",
  "published": "2006-01-21T10:02:52.000Z",
  "updated": "2010-09-03T23:04:42.000Z",
  "title": "On the weights of mod $p$ Hilbert modular forms",
  "authors": [
    "Toby Gee"
  ],
  "comment": "34 pages. Essentially final version, to appear in Inventiones mathematicae. This version does not incorporate any minor changes (e.g. typographical changes) made in proof",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove many cases of a conjecture of Buzzard, Diamond and Jarvis on the possible weights of mod $p$ Hilbert modular forms, by making use of modularity lifting theorems and computations in $p$-adic Hodge theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-09-03T23:04:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F33"
    ],
    "keywords": [
      "hilbert modular forms",
      "adic hodge theory",
      "modularity lifting theorems",
      "computations",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1516G"
    }
  }
}