{
  "id": "1703.03990",
  "version": "v1",
  "published": "2017-03-11T16:15:11.000Z",
  "updated": "2017-03-11T16:15:11.000Z",
  "title": "On the Chow groups of certain cubic fourfolds",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "13 pages, to appear in Acta Math. Sinica, comments still welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "This note is about the Chow groups of a certain family of smooth cubic fourfolds. This family is characterized by the property that each cubic fourfold $X$ in the family has an involution such that the induced involution on the Fano variety $F$ of lines in $X$ is symplectic and has a $K3$ surface $S$ in the fixed locus. The main result establishes a relation between $X$ and $S$ on the level of Chow motives. As a consequence, we can prove finite-dimensionality of the motive of certain members of the family.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-11T16:15:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "chow groups",
      "smooth cubic fourfolds",
      "main result establishes",
      "involution",
      "fano variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}