{
  "id": "1706.05821",
  "version": "v1",
  "published": "2017-06-19T08:08:38.000Z",
  "updated": "2017-06-19T08:08:38.000Z",
  "title": "A remark on the Chow ring of some hyperkähler fourfolds",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "8 pages, to appear in Bulletin of the Belgian Math. Soc., comments welcome !",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be a hyperk\\\"ahler variety. Voisin has conjectured that the classes of Lagrangian constant cycle subvarieties in the Chow ring of $X$ should lie in a subring injecting into cohomology. We study this conjecture for the Fano variety of lines on a very general cubic fourfold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-19T08:08:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "chow ring",
      "hyperkähler fourfolds",
      "lagrangian constant cycle subvarieties",
      "general cubic fourfold",
      "fano variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}