{
  "id": "1906.08536",
  "version": "v1",
  "published": "2019-06-20T10:12:53.000Z",
  "updated": "2019-06-20T10:12:53.000Z",
  "title": "Zero-cycles with modulus and relative $K$-theory",
  "authors": [
    "Rahul Gupta",
    "Amalendu Krishna"
  ],
  "comment": "44 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct a cycle class map from the higher Chow groups of 0-cycles to the relative $K$-theory of a modulus pair. We show that this induces a pro-isomorphism between the additive higher Chow groups of relative 0-cycles and relative $K$-theory of truncated polynomial rings over a regular semi-local ring, essentially of finite type over a characteristic zero field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-20T10:12:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "19E08",
      "19E15"
    ],
    "keywords": [
      "zero-cycles",
      "cycle class map",
      "additive higher chow groups",
      "characteristic zero field",
      "modulus pair"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}