{
  "id": "0909.5296",
  "version": "v1",
  "published": "2009-09-29T11:48:10.000Z",
  "updated": "2009-09-29T11:48:10.000Z",
  "title": "On Goncharov's regulator and higher arithmetic Chow groups",
  "authors": [
    "J. I. Burgos Gil",
    "E. Feliu",
    "Y. Takeda"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we show that the regulator defined by Goncharov from higher algebraic Chow groups to Deligne-Beilinson cohomology agrees with Beilinson's regulator. We give a direct comparison of Goncharov's regulator to the construction given by Burgos and Feliu. As a consequence, we show that the higher arithmetic Chow groups defined by Goncharov agree, for all projective arithmetic varieties over an arithmetic field, with the ones defined by Burgos and Feliu.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-29T11:48:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G40",
      "14C15",
      "14F43"
    ],
    "keywords": [
      "goncharovs regulator",
      "higher algebraic chow groups",
      "deligne-beilinson cohomology agrees",
      "higher arithmetic chow groups",
      "arithmetic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.5296B"
    }
  }
}