{
  "id": "1910.06630",
  "version": "v1",
  "published": "2019-10-15T10:10:01.000Z",
  "updated": "2019-10-15T10:10:01.000Z",
  "title": "Relative $K$-theory via 0-cycles in finite characteristic",
  "authors": [
    "Rahul Gupta",
    "Amalendu Krishna"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $R$ be a regular semi-local ring, essentially of finite type over a perfect field of characteristic $p \\ge 3$. We show that the cycle class map with modulus from an earlier work of the authors induces a pro-isomorphism between the additive higher Chow groups of relative 0-cycles and the relative $K$-theory of truncated polynomial rings over $R$. This settles the problem of equating 0-cycles with modulus and relative $K$-theory of such rings in all characteristics $\\neq 2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-15T10:10:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "19E08",
      "19E15"
    ],
    "keywords": [
      "finite characteristic",
      "cycle class map",
      "additive higher chow groups",
      "regular semi-local",
      "finite type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}