{
  "id": "2309.06821",
  "version": "v1",
  "published": "2023-09-13T09:08:24.000Z",
  "updated": "2023-09-13T09:08:24.000Z",
  "title": "An infinite family of $m$-ovoids of the hyperbolic quadrics $\\mathcal{Q}^+(7,q)$",
  "authors": [
    "Francesco Pavese",
    "Hanlin Zou"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "An infinite family of $(q^2+q+1)$-ovoids of $\\mathcal{Q}^+(7,q)$, $q\\equiv 1\\pmod{3}$, admitting the group $\\mathrm{PGL}(3,q)$, is constructed. The main tool is the general theory of generalized hexagons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-13T09:08:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51A50",
      "05B25",
      "51E12",
      "51E20"
    ],
    "keywords": [
      "hyperbolic quadrics",
      "infinite family",
      "main tool",
      "general theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}