{
  "id": "0809.2815",
  "version": "v3",
  "published": "2008-09-16T21:23:55.000Z",
  "updated": "2009-04-24T19:34:16.000Z",
  "title": "Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves",
  "authors": [
    "Cristian D. González-Avilés"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We obtain finiteness theorems for algebraic cycles of small codimension on quadric fibrations X over curves over perfect fields k. For example, if k is finitely generated over Q and the fibration has odd relative dimension at least 11, then CH^{i}(X) is finitely generated for i<=4.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-04-24T19:34:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "14C15"
    ],
    "keywords": [
      "algebraic cycles",
      "small codimension",
      "quadric fibrations",
      "finiteness theorems",
      "perfect fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.2815G"
    }
  }
}