{
  "id": "math/0611333",
  "version": "v1",
  "published": "2006-11-11T19:58:34.000Z",
  "updated": "2006-11-11T19:58:34.000Z",
  "title": "The Abel-Jacobi Map for Higher Chow Groups, II",
  "authors": [
    "Matt Kerr",
    "James D. Lewis"
  ],
  "comment": "68 pages, 3 figures",
  "doi": "10.1007/s00222-007-0066-x",
  "categories": [
    "math.AG"
  ],
  "abstract": "We explicitly describe cycle-class maps c_H from motivic cohomology to absolute Hodge cohomology, for smooth quasi-projective and (some) proper singular varieties, and compute special cases of the latter. For smooth projective varieties, we also study Hodge-theoretically defined \"higher Abel-Jacobi maps\" on the kernel of c_H; this leads to new results on nontrivial indecomposable higher Chow cycles in the regulator kernel.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-11T19:58:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "14C30",
      "14C35",
      "14F42",
      "14F43"
    ],
    "keywords": [
      "higher chow groups",
      "nontrivial indecomposable higher chow cycles",
      "absolute hodge cohomology",
      "proper singular varieties",
      "higher abel-jacobi maps"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2007,
      "month": "Aug",
      "volume": 170,
      "number": 2,
      "pages": 355
    },
    "note": {
      "typesetting": "TeX",
      "pages": 68,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007InMat.170..355K"
    }
  }
}