{
  "id": "2305.07302",
  "version": "v1",
  "published": "2023-05-12T08:14:49.000Z",
  "updated": "2023-05-12T08:14:49.000Z",
  "title": "Algebraic cycles and Fano threefolds of genus 10",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "24 pages, to appear in Bulletin de la SMF, comments welcome ! arXiv admin note: text overlap with arXiv:2110.11791, arXiv:2301.01961, arXiv:2105.02016",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that prime Fano threefolds $Y$ of genus 10 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": "2023-05-12T08:14:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25"
    ],
    "keywords": [
      "algebraic cycles",
      "prime fano threefolds",
      "decomposition",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}