{
  "id": "1808.09118",
  "version": "v1",
  "published": "2018-08-28T04:53:41.000Z",
  "updated": "2018-08-28T04:53:41.000Z",
  "title": "On the Chow groups of certain EPW sextics",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "29 pages, to appear in Kodai Math. J., comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "This note is about the Hilbert square $X=S^{[2]}$, where $S$ is a general $K3$ surface of degree $10$, and the anti-symplectic birational involution $\\iota$ of $X$ constructed by O'Grady. The main result is that the action of $\\iota$ on certain pieces of the Chow groups of $X$ is as expected by Bloch's conjecture. Since $X$ is birational to a double EPW sextic $X^\\prime$, this has consequences for the Chow ring of the EPW sextic $Y\\subset{\\mathbb{P}}^5$ associated to $X^\\prime$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-28T04:53:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "chow groups",
      "anti-symplectic birational involution",
      "double epw sextic",
      "blochs conjecture",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}