{
  "id": "1502.01926",
  "version": "v1",
  "published": "2015-02-06T16:00:06.000Z",
  "updated": "2015-02-06T16:00:06.000Z",
  "title": "Weighted Intriguing Sets in Finite Polar Spaces",
  "authors": [
    "John Bamberg",
    "Jan De Beule",
    "Ferdinand Ihringer"
  ],
  "comment": "21 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We develop a theory for ovoids and tight sets in finite classical polar spaces, and we illustrate the usefulness of the theory by providing new proofs for the non-existence of ovoids of particular finite classical polar spaces, including $\\mathsf{Q}^+(9, q)$, $q$ even, and $\\mathsf{H}(5, 4)$. We also improve the results of A. Klein on the non-existence of ovoids of $\\mathsf{H}(2n+1,q^2)$ and $\\mathsf{Q}^+(2n+1, q^2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-06T16:00:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B25",
      "51E20",
      "51A50"
    ],
    "keywords": [
      "finite polar spaces",
      "weighted intriguing sets",
      "finite classical polar spaces",
      "tight sets",
      "non-existence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150201926B"
    }
  }
}