{
  "id": "math/0201244",
  "version": "v1",
  "published": "2002-01-25T12:27:38.000Z",
  "updated": "2002-01-25T12:27:38.000Z",
  "title": "The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles",
  "authors": [
    "Elisabetta Colombo"
  ],
  "comment": "22 pages, 3 figures. To appear in: Journal of Algebraic Geometry",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we give a geometrical interpretation of an extension of mixed Hodge structures (MHS) obtained from the canonical MHS on the group ring of the fundamental group of a hyperelliptic curve modulo the fourth power of its augmentation ideal. We show that the class of this extension coincides with the regulator image of a canonical higher cycle in a hyperelliptic jacobian. This higher cycle was introduced and studied by Collino.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-25T12:27:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C30",
      "14C25",
      "14H30"
    ],
    "keywords": [
      "mixed hodge structure",
      "fundamental group",
      "hyperelliptic curve modulo",
      "canonical higher cycle",
      "hyperelliptic jacobian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......1244C"
    }
  }
}