{
  "id": "1009.1434",
  "version": "v2",
  "published": "2010-09-08T01:20:44.000Z",
  "updated": "2010-11-28T20:27:23.000Z",
  "title": "Transcendence degree of zero-cycles and the structure of Chow motives",
  "authors": [
    "Sergey Gorchinskiy",
    "Vladimir Guletskii"
  ],
  "comment": "13 pages, added references",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show how the notion of the transcendence degree of a zero-cycle on a smooth projective variety X is related to the structure of the motive M(X). This can be of particular interest in the context of Bloch's conjecture, especially for Godeaux surfaces, when the surface is given as a finite quotient of a suitable quintic in P^3.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-28T20:27:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25"
    ],
    "keywords": [
      "transcendence degree",
      "chow motives",
      "zero-cycle",
      "finite quotient",
      "blochs conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.1434G"
    }
  }
}