{
  "id": "1906.04799",
  "version": "v1",
  "published": "2019-06-11T20:19:12.000Z",
  "updated": "2019-06-11T20:19:12.000Z",
  "title": "Algebraic cycles and Verra fourfolds",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "34 pages, to appear in Tohoku Math. J., comments welcome !",
  "categories": [
    "math.AG"
  ],
  "abstract": "This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial $1$-cycles is generated by conics. We also show that Verra fourfolds admit a multiplicative Chow-K\\\"unneth decomposition, and draw some consequences for the intersection product in the Chow ring of Verra fourfolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-11T20:19:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "algebraic cycles",
      "general verra fourfold",
      "verra fourfolds admit",
      "chow ring",
      "chow group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}