An infinite family of hyperovals of Q+(5, q), q even

被引：1
|
作者：
De Bruyn, Bart [1 ]
机构：
[1] Ghent Univ Belgium, Ghent, Belgium
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2024年 / 208卷
关键词：
Klein quadric; Hyperoval; Elliptic quadric; Ovoid; POLAR SPACES; H(3; Q(2));
D O I：
10.1016/j.jcta.2024.105938
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct an infinite family of hyperovals on the Klein quadric Q+(5, q), q even. The construction makes use of ovoids of the symplectic generalized quadrangle W(q) that is associated with an elliptic quadric which arises as solid intersection with Q+(5, q). We also solve the isomorphism problem: we determine necessary and sufficient conditions for two hyperovals arising from the construction to be isomorphic. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：21
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