{
  "id": "1612.07187",
  "version": "v1",
  "published": "2016-12-21T15:32:11.000Z",
  "updated": "2016-12-21T15:32:11.000Z",
  "title": "On $m$-ovoids of regular near polygons",
  "authors": [
    "John Bamberg",
    "Jesse Lansdown",
    "Melissa Lee"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We generalise the work of Segre (1965), Cameron - Goethals - Seidel (1978), and Vanhove (2011) by showing that nontrivial $m$-ovoids of the dual polar spaces $DQ(2d, q)$, $DW(2d-1,q)$ and $DH(2d-1,q^2)$ ($d\\ge 3$) are hemisystems. We also provide a more general result that holds for regular near polygons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-21T15:32:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B25"
    ],
    "keywords": [
      "dual polar spaces",
      "general result",
      "nontrivial",
      "generalise",
      "hemisystems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}