{
  "id": "1805.08103",
  "version": "v1",
  "published": "2018-05-21T15:00:46.000Z",
  "updated": "2018-05-21T15:00:46.000Z",
  "title": "Induction and restriction of (φ,Γ)-modules",
  "authors": [
    "Ehud de Shalit",
    "Gal Porat"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let L be a non-archimedean local field of characteristic 0. We present a variant of the theory of (\\phi,\\Gamma)-modules associated with Lubin-Tate groups, developed by Kisin and Ren [Ki-Re], in which we replace the Lubin-Tate tower by the maximal abelian extension \\Gamma = Gal(L^ab/L). This variation allows us to compute the functors of induction and restriction for (\\phi,\\Gamma)-modules, when the ground field L changes. We also give a self-contained account of the Cherbonnier-Colmez theorem on overconvergence in our setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-21T15:00:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "restriction",
      "non-archimedean local field",
      "maximal abelian extension",
      "lubin-tate tower",
      "ground field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}