{
  "id": "1307.8386",
  "version": "v4",
  "published": "2013-07-31T16:56:19.000Z",
  "updated": "2014-07-30T14:44:28.000Z",
  "title": "Intersections of the Hermitian surface with irreducible quadrics in $PG(3,q^2)$, $q$ odd",
  "authors": [
    "Angela Aguglia",
    "Luca Giuzzi"
  ],
  "comment": "14 pages; clarified the case q=3",
  "journal": "Finite Fields Appl. 30 (2014), 1-13",
  "doi": "10.1016/j.ffa.2014.05.005",
  "categories": [
    "math.CO"
  ],
  "abstract": "In $PG(3,q^2)$, with $q$ odd, we determine the possible intersection sizes of a Hermitian surface $\\mathcal{H}$ and an irreducible quadric $\\mathcal{Q}$ having the same tangent plane $\\pi$ at a common point $P\\in{\\mathcal Q}\\cap{\\mathcal H}$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-07-30T14:44:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B25",
      "51D20",
      "51E20"
    ],
    "keywords": [
      "hermitian surface",
      "irreducible quadric",
      "common point",
      "tangent plane"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.8386A"
    }
  }
}