{
  "id": "1711.01680",
  "version": "v1",
  "published": "2017-11-06T00:15:11.000Z",
  "updated": "2017-11-06T00:15:11.000Z",
  "title": "Mod $p$ Hilbert modular forms of parallel weight one: the ramified case",
  "authors": [
    "Payman L Kassaei"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We generalize the main result of arXiv:1206.6631 [math.NT] to all totally real fields. In other words, for $p>2$ prime, we prove (under a mild Taylor-Wiles hypothesis) that if a modular representation is unramified and $p$-distinguished at all places above $p$, then it arises from a mod $p$ Hilbert modular form of parallel weight one. This (mostly) resolves the weight one part of Serre's conjecture for totally real fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-06T00:15:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hilbert modular form",
      "parallel weight",
      "ramified case",
      "totally real fields",
      "mild taylor-wiles hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}