{
  "id": "1809.10208",
  "version": "v1",
  "published": "2018-09-26T19:43:44.000Z",
  "updated": "2018-09-26T19:43:44.000Z",
  "title": "Tate module and bad reduction",
  "authors": [
    "Tim Dokchitser",
    "Vladimir Dokchitser",
    "Adam Morgan"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let C/K be a curve over a local field. We study the natural semilinear action of Galois on the minimal regular model of C over a field F where it becomes semistable. This allows us to describe the Galois action on the l-adic Tate module of the Jacobian of C/K in terms of the special fibre of this model over F.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-26T19:43:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G20",
      "11G25",
      "14F20",
      "11G07",
      "11G10"
    ],
    "keywords": [
      "bad reduction",
      "l-adic tate module",
      "natural semilinear action",
      "minimal regular model",
      "local field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}