Ovoids of PG(3, q), q even, with a conic section

被引：23
|
作者：
Brown, MR [1 ]
机构：
[1] Univ Ghent, Dept Pure Math & Comp Algebra, B-9000 Ghent, Belgium
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2000年 / 62卷
基金：
澳大利亚研究理事会;
关键词：
D O I：
10.1112/S0024610700001137
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that if a plane of PG(3, q), q even, meets an ovoid in a conic, then the ovoid must be an elliptic quadric. This is proved by using the generalized quadrangles T-2(l) (l a conic), W(q) and the isomorphism between them to show that every secant plane section of the ovoid must be a conic. The result then follows from a well-known theorem of Barlotti.
引用
收藏
页码：569 / 582
页数：14
相关论文
共 50 条
12345