Characterising elliptic solids of Q(4, q), q even

被引：3

作者：

Barwick, S. G. ^{[1
]}

Hui, Alice M. W. ^{[2
]}

Jackson, Wen-Ai ^{[1
]}

机构：

[1] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia

[2] BNU HKBU United Int Coll, Stat Program, Zhuhai, Peoples R China

来源：

DISCRETE MATHEMATICS | 2020年 / 343卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Projective geometry; Quadrics; Hyperplanes; SETS;

D O I：

10.1016/j.disc.2020.111857

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let epsilon be a set of solids (hyperplanes) in PG(4, q), q even, q > 2, such that every point of PG(4, q) lies in either 0, 1/2 (q(3) - q(2)) or 1/2 q(3) solids of epsilon, and every plane of PG(4, q) lies in either 0, 1/2q or q solids of epsilon. This article shows that epsilon is either the set of solids that are disjoint from a hyperoval, or the set of solids that meet a non-singular quadric Q(4, q) in an elliptic quadric. Crown Copyright (C) 2020 Published by Elsevier B.V. All rights reserved.

引用

页数：8

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