{
  "id": "0909.1278",
  "version": "v2",
  "published": "2009-09-07T16:23:46.000Z",
  "updated": "2010-08-31T18:51:54.000Z",
  "title": "Serre weights for quaternion algebras",
  "authors": [
    "Toby Gee",
    "David Savitt"
  ],
  "comment": "Essentially final version, to appear in Compositio Mathematica. This version does not incorporate any minor changes (e.g. typographical changes) made in proof",
  "doi": "10.1112/S0010437X1000518X",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study the possible weights of an irreducible two-dimensional mod p representation of the absolute Galois group of F which is modular in the sense of that it comes from an automorphic form on a definite quaternion algebra with centre F which is ramified at all places dividing p, where F is a totally real field. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-31T18:51:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F80"
    ],
    "keywords": [
      "serre weights",
      "absolute galois group",
      "definite quaternion algebra",
      "automorphic form",
      "irreducible two-dimensional mod"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.1278G"
    }
  }
}