A Characterisation of the Lines External to an Oval Cone in PG(3, q), q Even

被引：7
|
作者：
Barwick, S. [1 ]
Butler, David [1 ]
机构：
[1] Univ Adelaide, Sch Pure Math, Adelaide, SA 5005, Australia
来源：
JOURNAL OF GEOMETRY | 2009年 / 93卷 / 1-2期
关键词：
Projective space; oval cone; lines; characterisation;
D O I：
10.1007/s00022-009-1966-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the lines not meeting an oval cone in PG(3, q) ( q even) are characterised by their intersection properties with points and planes.
引用
收藏
页码：21 / 27
页数：7
相关论文
共 50 条
  • [1] A characterization of the external lines of a hyperoval cone in PG(3, q), q even
    Zannetti, Mauro
    DISCRETE MATHEMATICS, 2011, 311 (04) : 239 - 243
  • [2] A characterization of the external lines of a hyperoval in PG(3, q), q even
    Zuanni, Fulvio
    DISCRETE MATHEMATICS, 2012, 312 (06) : 1257 - 1259
  • [3] A characterization of the external lines of a quadric cone in PG(3, q), q odd
    Vasarelli P.
    Vasarelli, Paolo (paolo.vasarelli@gmail.com), 1697, Taru Publications (20): : 1697 - 1706
  • [4] A characterization of the oval cone in PG(3, q)
    Zuanni, Fulvio
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2021, 24 (03): : 859 - 863
  • [5] On Blocking Sets of External Lines to a Hyperbolic Quadric in PG(3,q), q Even
    Biondi, Paola
    Lo Re, Pia Maria
    JOURNAL OF GEOMETRY, 2009, 92 (1-2) : 23 - 27
  • [6] A characterization of the family of external lines to a quadratic cone of PG(3, q), q odd
    Di Gennaro R.
    Durante N.
    Olanda D.
    Journal of Geometry, 2009, 96 (1-2) : 63 - 70
  • [7] Blocking sets of tangent and external lines to a hyperbolic quadric in PG(3,q), q even
    Sahoo, Binod Kumar
    Sahu, Bikramaditya
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (01):
  • [8] Blocking sets of external lines to a conic in PG(2,q),q even
    Giulietti, Massimo
    EUROPEAN JOURNAL OF COMBINATORICS, 2007, 28 (01) : 36 - 42
  • [9] Blocking sets of external, tangent and secant lines to a quadratic cone in PG(3, q)
    De Bruyn, Bart
    Pradhan, Puspendu
    Sahu, Bikramaditya
    DISCRETE MATHEMATICS, 2021, 344 (06)
  • [10] On blocking sets of external lines to a quadric in PG(3,q), q prime
    Biondi, Paola
    Lo Re, Pia Maria
    ARS COMBINATORIA, 2007, 85 : 43 - 48
12345