{
  "id": "1509.00550",
  "version": "v1",
  "published": "2015-09-02T02:59:53.000Z",
  "updated": "2015-09-02T02:59:53.000Z",
  "title": "A family of $m$-ovoids of parabolic quadrics",
  "authors": [
    "Tao Feng",
    "Koji Momihara",
    "Qing Xiang"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We construct a family of $\\frac{(q-1)}{2}$-ovoids of $Q(4,q)$, the parabolic quadric of $\\textup{PG}(4,q)$, for $q\\equiv 3\\pmod 4$. The existence of $\\frac{(q-1)}{2}$-ovoids of $Q(4,q)$ was only known for $q=3, 7,$ or $11$. Our construction provides the first infinite family of $\\frac{(q-1)}{2}$-ovoids of $Q(4,q)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-02T02:59:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parabolic quadric",
      "construction",
      "first infinite family"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150900550F"
    }
  }
}