{
  "id": "0707.1338",
  "version": "v1",
  "published": "2007-07-09T21:34:28.000Z",
  "updated": "2007-07-09T21:34:28.000Z",
  "title": "l-Adic representations associated to modular forms over imaginary quadratic fields",
  "authors": [
    "Tobias Berger",
    "Gergely Harcos"
  ],
  "comment": "11 pages, LaTeX2e; submitted",
  "journal": "Int. Math. Res. Not. 2007, no. 23, Art. ID rnm113, 16 pp.",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let pi be a regular algebraic cuspidal automorphic representation of GL(2) over an imaginary quadratic number field K such that the central character of pi is invariant under the non-trivial automorphism of K. We show that pi is associated with an l-adic Galois representation rho over K such that at each prime of K outside an explicit finite set the Frobenius polynomial of rho agrees with the Hecke polynomial of pi.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-09T21:34:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F80",
      "11F46",
      "11F70",
      "11R39"
    ],
    "keywords": [
      "imaginary quadratic fields",
      "l-adic representations",
      "modular forms",
      "regular algebraic cuspidal automorphic representation",
      "imaginary quadratic number field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.1338B"
    }
  }
}