{
  "id": "0902.1960",
  "version": "v1",
  "published": "2009-02-11T18:33:56.000Z",
  "updated": "2009-02-11T18:33:56.000Z",
  "title": "Bloch-type conjectures and an example of a threefold of general type",
  "authors": [
    "Chris Peters"
  ],
  "comment": "Accepted by Communications in Contemporary Mathematics",
  "categories": [
    "math.AG"
  ],
  "abstract": "The hypothetical existence of a good theory of mixed motives predicts many deep phenomena related to algebraic cycles. One of these, a generalization of Bloch's conjecture says that \"small Hodge diamonds\" go with \"small Chow groups\". Voisin's method (which produces examples with small Chow groups) is analyzed carefully to widen its applicability. A threefold of general type without 1- and 2-forms is exhibited for which this extension yields Bloch's generalized conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-11T18:33:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general type",
      "bloch-type conjectures",
      "small chow groups",
      "extension yields blochs generalized conjecture",
      "small hodge diamonds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.1960P"
    }
  }
}