{
  "id": "math/0406461",
  "version": "v2",
  "published": "2004-06-23T11:55:17.000Z",
  "updated": "2004-11-26T13:44:48.000Z",
  "title": "Explicit determination of images of Galois representations attached to Hilbert modular forms",
  "authors": [
    "Luis Dieulefait",
    "Mladen Dimitrov"
  ],
  "comment": "7 pages, improved and expanded version",
  "categories": [
    "math.NT"
  ],
  "abstract": "In a previous article, the second author proved that the image of the Galois representation mod $\\lambda$ attached to a Hilbert modular newform is large or all but finitely many primes $\\lambda$, if the form is not a theta series. In this brief note, we give an explicit bound for this exceptional finite set of primes and determine the images in three different examples. Our examples are of Hilbert newforms on real quadratic fields, of parallel or non-parallel weight and of different levels.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-11-26T13:44:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F41",
      "11F80"
    ],
    "keywords": [
      "hilbert modular forms",
      "galois representations",
      "explicit determination",
      "real quadratic fields",
      "exceptional finite set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6461D"
    }
  }
}