{
  "id": "2105.02016",
  "version": "v1",
  "published": "2021-05-05T12:33:38.000Z",
  "updated": "2021-05-05T12:33:38.000Z",
  "title": "Algebraic cycles and intersections of 2 quadrics",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "21 pages, to appear in Mediterranean J. of Math., comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "A smooth intersection $Y$ of two quadrics in $\\mathbb{P}^{2g+1}$ has Hodge level 1. We show that such varieties $Y$ have a multiplicative Chow-K\\\"unneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of the Chow ring of powers of $Y$ injects into cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-05T12:33:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "algebraic cycles",
      "smooth intersection",
      "hodge level",
      "cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}