{
  "id": "1801.06961",
  "version": "v1",
  "published": "2018-01-22T06:05:44.000Z",
  "updated": "2018-01-22T06:05:44.000Z",
  "title": "Stable lattices in modular Galois representations and Hida deformation",
  "authors": [
    "Dong Yan"
  ],
  "comment": "24 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we discuss the variation of the number of the isomorphic class of stable lattices when the weight and the level varies in Hida deformation by using the Kubota-Leopoldt $p$-adic $L$-function. As a corollary, we give a sufficient condition for the numbers of the isomorphic class of stable lattices in Hida deformation to be infinite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-22T06:05:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modular galois representations",
      "hida deformation",
      "stable lattices",
      "isomorphic class",
      "level varies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}