{
  "id": "1210.7460",
  "version": "v2",
  "published": "2012-10-28T13:44:55.000Z",
  "updated": "2013-10-21T13:42:13.000Z",
  "title": "Addendum to: Milne, Values of zeta functions of varieties over finite fields, Amer. J. Math. 108, (1986), 297-360",
  "authors": [
    "J. S. Milne"
  ],
  "comment": "October 2013: Improved exposition. Added notes",
  "categories": [
    "math.AG"
  ],
  "abstract": "The original article expressed the special values of the zeta function of a variety over a finite field in terms of the $\\hat{Z}$-cohomology of the variety. As the article was being completed, Lichtenbaum conjectured the existence of certain motivic cohomology groups. Progress on his conjecture allows one to give a beautiful restatement of the main theorem of the article in terms of $Z$-cohomology groups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-21T13:42:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G10"
    ],
    "keywords": [
      "finite field",
      "zeta function",
      "motivic cohomology groups",
      "original article",
      "special values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.7460M"
    }
  }
}