{
  "id": "1704.01083",
  "version": "v1",
  "published": "2017-03-24T11:41:29.000Z",
  "updated": "2017-03-24T11:41:29.000Z",
  "title": "On the Chow groups of some hyperkähler fourfolds with a non-symplectic involution",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "To appear in International Journal of Math., 18 pages, comments welcome ! arXiv admin note: text overlap with arXiv:1703.03990",
  "doi": "10.1142/S0129167X17500148",
  "categories": [
    "math.AG"
  ],
  "abstract": "This note concerns hyperk\\\"ahler fourfolds $X$ having a non-symplectic involution $\\iota$. The Bloch-Beilinson conjectures predict the way $\\iota$ should act on certain pieces of the Chow groups of $X$. The main result is a verification of this prediction for Fano varieties of lines on certain cubic fourfolds. This has consequences for the Chow ring of the quotient $X/\\iota$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-24T11:41:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "non-symplectic involution",
      "chow groups",
      "hyperkähler fourfolds",
      "bloch-beilinson conjectures predict",
      "cubic fourfolds"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "World Scientific"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}