{
  "id": "1104.1762",
  "version": "v2",
  "published": "2011-04-10T10:47:36.000Z",
  "updated": "2012-07-10T02:01:21.000Z",
  "title": "A refinement of the local class field theory of Serre and Hazewinkel",
  "authors": [
    "Takashi Suzuki",
    "Manabu Yoshida"
  ],
  "comment": "29 pages, final version to appear in Algebraic Number Theory and Related Topics 2010, 163--191, RIMS K\\^oky\\^uroku Bessatsu, B32, Res. Inst. Math. Sci. (RIMS), Kyoto, 2012",
  "journal": "Algebraic Number Theory and Related Topics 2010, 163--191, RIMS K\\^oky\\^uroku Bessatsu, B32, Res. Inst. Math. Sci. (RIMS), Kyoto, 2012",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a refinement of the local class field theory of Serre and Hazewinkel. This refinement allows the theory to treat extensions that are not necessarily totally ramified. Such a refinement was obtained and used in the authors' paper on Fontaine's property (Pm), where the explanation had to be rather brief. In this paper, we give a complete account, from necessary knowledge of an appropriate Grothendieck site to the details of the proof. We start by reviewing the local class field theory of Serre and Hazewinkel.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-10T02:01:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S31"
    ],
    "keywords": [
      "local class field theory",
      "refinement",
      "hazewinkel",
      "appropriate grothendieck site",
      "treat extensions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.1762S"
    }
  }
}