{
  "id": "1110.0668",
  "version": "v1",
  "published": "2011-10-04T12:48:22.000Z",
  "updated": "2011-10-04T12:48:22.000Z",
  "title": "Remarks on Murre's conjecture on Chow groups",
  "authors": [
    "Kejian Xu",
    "Ze Xu"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "For certain product varieties, Murre's conjecture on Chow groups is investigated. In particular, it is proved that Murre's conjecture (B) is true for two kinds of four-folds. Precisely, if $C$ is a curve and $X$ is an elliptic modular threefold over $k$ (an algebraically closed field of characteristic 0) or an abelian variety of dimension 3, then Murre's conjecture (B) is true for the fourfold $X\\times C.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-04T12:48:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "murres conjecture",
      "chow groups",
      "elliptic modular threefold",
      "product varieties",
      "abelian variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.0668X"
    }
  }
}