{
  "id": "math/0012143",
  "version": "v1",
  "published": "2000-12-18T03:48:40.000Z",
  "updated": "2000-12-18T03:48:40.000Z",
  "title": "Invitation to higher local fields, Part I, section 12: Two types of complete discrete valuation fields",
  "authors": [
    "Masato Kurihara"
  ],
  "comment": "For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-12.abs.html",
  "journal": "Geom. Topol. Monogr. Volume 3(2000) 109-112",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "This work sketches the author classification of complete discrete valuation fields K of characteristic 0 with residue field of characteristic p into two classes depending on the behaviour of the torsion part of a differential module. For each of these classes, the quotient filtration of the Milnor K-groups of K is characterized for all sufficiently large members of the filtration, as a quotient of differential modules. For a higher local field the previous result and higher local class field theory imply certain restrictions on types of cyclic extensions of the field of sufficiently large degree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-18T03:48:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19F99",
      "19D99"
    ],
    "keywords": [
      "complete discrete valuation fields",
      "higher local field",
      "higher local class field theory",
      "differential module"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}