{
  "id": "math/0504086",
  "version": "v2",
  "published": "2005-04-05T20:48:06.000Z",
  "updated": "2006-03-13T03:19:05.000Z",
  "title": "Higher Abel-Jacobi maps for 0-cycles",
  "authors": [
    "Matt Kerr"
  ],
  "comment": "58 pages, 1 figure; new section 16",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "Starting from the candidate Bloch-Beilinson filtration on Chow groups of 0-cycles constructed by J. Lewis, we develop and describe geometrically a series of Hodge-theoretic invariants defined on the graded pieces. Explicit formulas (in terms of currents and membrane integrals) are given for certain quotients of the invariants, with applications to 0-cycles on products of curves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-13T03:19:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "14C30",
      "14C35",
      "19D45"
    ],
    "keywords": [
      "higher abel-jacobi maps",
      "candidate bloch-beilinson filtration",
      "chow groups",
      "membrane integrals",
      "explicit formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 58,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4086K"
    }
  }
}