{
  "id": "1207.4703",
  "version": "v3",
  "published": "2012-07-19T15:09:42.000Z",
  "updated": "2014-02-05T09:39:58.000Z",
  "title": "On the Chow groups of certain geometrically rational 5-folds",
  "authors": [
    "Ambrus Pal"
  ],
  "comment": "Small changes. To appear in Journal of Number Theory",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give an explicit regular model for the quadric fibration studied in Pirutka (2011). As an application we show that this construction furnishes a counterexample for the integral Tate conjecture in any odd characteristic for some sufficiently large finite field. We study the etale cohomology of this regular model, and as a consequence we derive that these counterexamples are not torsion.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-02-05T09:39:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chow groups",
      "geometrically rational",
      "explicit regular model",
      "sufficiently large finite field",
      "integral tate conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.4703P"
    }
  }
}