{
  "id": "math/0608464",
  "version": "v2",
  "published": "2006-08-18T09:04:52.000Z",
  "updated": "2007-10-15T02:50:29.000Z",
  "title": "Class field theory for a product of curves over a local field",
  "authors": [
    "Takao Yamazaki"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove that the the kernel of the reciprocity map for a product of curves over a $p$-adic field with split semi-stable reduction is divisible. We also consider the $K_1$ of a product of curves over a number field.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-15T02:50:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G45",
      "14C35",
      "19F05"
    ],
    "keywords": [
      "class field theory",
      "local field",
      "split semi-stable reduction",
      "number field",
      "reciprocity map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8464Y"
    }
  }
}