{
  "id": "math/0010029",
  "version": "v1",
  "published": "2000-10-03T05:45:15.000Z",
  "updated": "2000-10-03T05:45:15.000Z",
  "title": "Higher Abel-Jacobi Maps",
  "authors": [
    "Jishnu Biswas",
    "Gautham Dayal",
    "Kapil H. Paranjape",
    "G. V. Ravindra"
  ],
  "comment": "amslatex (amsart 1997/03/26 v1.2r); 8 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "This paper forms the major portion of a talk given at the International Colloquium on Arithmetic, Algebra and Geometry at TIFR, Mumbai in Jan 2000. We look at the problem of detecting cycles with trivial Abel-Jacobi invariant. M. Green proposed a Hodge-theoretic method to which C. Voisin found a counter-example. We present an easier example. We also propose another possible invariant to detect these classes using Hodge Theory. Similar methods have been proposed earlier by M. Asakura and M. Saito.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-10-03T05:45:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C30",
      "14F43"
    ],
    "keywords": [
      "higher abel-jacobi maps",
      "trivial abel-jacobi invariant",
      "international colloquium",
      "similar methods",
      "paper forms"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....10029B"
    }
  }
}