{
  "id": "math/0012148",
  "version": "v1",
  "published": "2000-12-18T03:49:18.000Z",
  "updated": "2000-12-18T03:49:18.000Z",
  "title": "Invitation to higher local fields, Part I, section 17: An approach to higher ramification theory",
  "authors": [
    "Igor Zhukov"
  ],
  "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-17.abs.html",
  "journal": "Geom. Topol. Monogr. Volume 3(2000) 143-150",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "This is an introduction to author's ramification theory of a complete discrete valuation field with residue field whose p-basis consists of at most one element. New lower and upper filtrations are defined; cyclic extensions of degree p may have non-integer ramification breaks. A refinement of the filtration for two-dimensional local fields which is compatible with the reciprocity map is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-18T03:49:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12F99",
      "12J25",
      "11-99",
      "19F99"
    ],
    "keywords": [
      "higher local fields",
      "higher ramification theory",
      "invitation",
      "complete discrete valuation field",
      "authors ramification theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}