{
  "id": "1708.05731",
  "version": "v1",
  "published": "2017-08-18T18:18:37.000Z",
  "updated": "2017-08-18T18:18:37.000Z",
  "title": "Some nilpotence theorems for Chow motives",
  "authors": [
    "Humberto A. Diaz"
  ],
  "comment": "16 pages, comments welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "Using fundamental results of Deligne, we prove (under a suitable hypothesis) a nilpotence theorem for Chow motives with rational coefficients and give some applications of it (e.g., show how it may be used to prove the Chow-K\\\"unneth conjecture for certain varieties). We also prove a torsion nilpotence result for surfaces, using the same strategy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-18T18:18:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25"
    ],
    "keywords": [
      "chow motives",
      "nilpotence theorem",
      "torsion nilpotence result",
      "rational coefficients",
      "fundamental results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}