{
  "id": "1705.03054",
  "version": "v1",
  "published": "2017-05-08T19:32:04.000Z",
  "updated": "2017-05-08T19:32:04.000Z",
  "title": "Lifts of Hilbert modular forms and application to modularity of abelian varieties",
  "authors": [
    "Clifton Cunningham",
    "Lassina Dembélé"
  ],
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In this paper, we prove the existence of certain lifts of Hilbert cusp forms to general odd spin groups. We then use those lifts to provide evidence for a conjecture of Gross on the modularity of abelian varieties not of ${\\rm GL}_2$-type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-08T19:32:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F41",
      "11F80",
      "11F70"
    ],
    "keywords": [
      "hilbert modular forms",
      "abelian varieties",
      "modularity",
      "general odd spin groups",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}