{
  "id": "1307.8003",
  "version": "v2",
  "published": "2013-07-30T14:46:37.000Z",
  "updated": "2014-07-10T22:05:36.000Z",
  "title": "Galois representations and torsion in the coherent cohomology of Hilbert modular varieties",
  "authors": [
    "Matthew Emerton",
    "Davide A. Reduzzi",
    "Liang Xiao"
  ],
  "comment": "27 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $F$ be a totally real number field and let $p$ be a prime unramified in $F$. We prove the existence of Galois pseudo-representations attached to mod $p^m$ Hecke eigenclasses of paritious weight occurring in the coherent cohomology of Hilbert modular varieties for $F$ of level prime to $p$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-10T22:05:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F80",
      "11F33",
      "11F41",
      "11R39",
      "14G35"
    ],
    "keywords": [
      "hilbert modular varieties",
      "coherent cohomology",
      "galois representations",
      "totally real number field",
      "level prime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.8003E"
    }
  }
}