{
  "id": "1905.06085",
  "version": "v1",
  "published": "2019-05-15T10:59:03.000Z",
  "updated": "2019-05-15T10:59:03.000Z",
  "title": "An infinite family of $m$-ovoids of $Q(4,q)$",
  "authors": [
    "Tao Feng",
    "Ran Tao"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we construct an infinite family of $\\frac{q-1}{2}$-ovoids of the generalized quadrangle $Q(4,q)$, for $q\\equiv 1 (\\text{mod}\\ 4)$ and $q>5$. Together with the examples given by Bamberg et al. and constructions provided by Feng et al., this establishes the existence of $\\frac{q-1}{2}$-ovoids in $Q(4,q)$ for each odd prime power $q$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-15T10:59:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E12",
      "05B25"
    ],
    "keywords": [
      "infinite family",
      "odd prime power",
      "establishes",
      "generalized quadrangle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}