Sets of class [q+1, 2q+1, 3q+1]3 in PG(4, q)

被引：0

作者：

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

Jackson, Wen-Ai ^{[1
]}

机构：

[1] Univ Adelaide, Adelaide, SA 5005, Australia

来源：

DISCRETE MATHEMATICS | 2020年 / 343卷 / 09期

关键词：

Ruled cubic surface; Projective; 4-space; Scroll; Sets of class; Characterisation;

D O I：

10.1016/j.disc.2020.111993

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The article gives a combinatorial characterisation of a ruled cubic surface in PG(4, q). In PG(4, q), q odd, q >= 9, a set kappa of q(2) 2q + 1 points is a ruled cubic surface if and only if kappa has class [q + 1, 2q + 1, 3q + 1](3) such that every plane that contains four points of kappa contains at least q + 1 points of kappa. Crown Copyright (C) 2020 Published by Elsevier B.V. All rights reserved.

引用

页数：8

共 50 条

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