{
  "id": "1912.07920",
  "version": "v1",
  "published": "2019-12-17T10:50:19.000Z",
  "updated": "2019-12-17T10:50:19.000Z",
  "title": "$Λ$-adic Families of Jacobi Forms",
  "authors": [
    "Matteo Longo",
    "Marc-Hubert Nicole"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that Hida theory of ordinary $p$-adic families of elliptic cuspforms extends to $p$-adic families of Jacobi forms. We also construct $p$-adic versions of theta lifts from elliptic modular forms to Jacobi forms. Our results extend to Jacobi forms previous works by Hida and Stevens on the related case of half-integral weight modular forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-17T10:50:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F50",
      "11F85",
      "11F27"
    ],
    "keywords": [
      "jacobi forms",
      "adic families",
      "half-integral weight modular forms",
      "elliptic modular forms",
      "elliptic cuspforms extends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}