{
  "id": "0803.2381",
  "version": "v1",
  "published": "2008-03-17T01:37:42.000Z",
  "updated": "2008-03-17T01:37:42.000Z",
  "title": "Class field theory for curves over $p$-adic fields",
  "authors": [
    "Toshiro Hiranouchi"
  ],
  "categories": [
    "math.NT",
    "math.KT"
  ],
  "abstract": "We develop class field theory of curves over $p$-adic fields which extends the unramified theory of S. Saito. The class groups which approximate abelian \\'etale fundamental groups of such curves are introduced in the terms of algebraic $K$-groups by imitating G. Wiesend's class group for curves over finite fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-17T01:37:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R37",
      "19D45"
    ],
    "keywords": [
      "class field theory",
      "adic fields",
      "approximate abelian etale fundamental groups",
      "wiesends class group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2381H"
    }
  }
}