{
  "id": "math/0409116",
  "version": "v1",
  "published": "2004-09-07T21:55:46.000Z",
  "updated": "2004-09-07T21:55:46.000Z",
  "title": "The Abel-Jacobi map for higher Chow groups",
  "authors": [
    "Matt Kerr",
    "James Lewis",
    "Stefan Müller-Stach"
  ],
  "comment": "29 pages, 1 figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct a map between Bloch's higher Chow groups and Deligne homology for smooth, complex quasiprojective varieties on the level of complexes. For complex projective varieties this results in a formula which generalizes at the same time the classical Griffiths Abel-Jacobi map and the Borel/Beilinson/Goncharov regulator type maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-07T21:55:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "14C30",
      "14C35",
      "19E15"
    ],
    "keywords": [
      "blochs higher chow groups",
      "borel/beilinson/goncharov regulator type maps",
      "classical griffiths abel-jacobi map",
      "complex quasiprojective varieties",
      "complex projective varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9116K"
    }
  }
}