{
  "id": "2009.11634",
  "version": "v1",
  "published": "2020-09-24T12:29:07.000Z",
  "updated": "2020-09-24T12:29:07.000Z",
  "title": "Algebraic cycles and special Horikawa surfaces",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "15 pages, to appear in Acta Math. Vietnamica, comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "This note is about a $16$-dimensional family of surfaces of general type with $p_g=2$ and $q=0$ and $K^2=1$, called \"special Horikawa surfaces\". These surfaces, studied by Pearlstein-Zhang and by Garbagnati, are related to K3 surfaces. We show that special Horikawa surfaces have a multiplicative Chow-K\\\"unneth decomposition, in the sense of Shen-Vial. As a consequence, the Chow ring of special Horikawa surfaces displays K3-like behaviour.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-24T12:29:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "algebraic cycles",
      "horikawa surfaces displays k3-like behaviour",
      "special horikawa surfaces displays k3-like",
      "general type",
      "k3 surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}