The small Kakeya sets in T2*(C), C a conic

被引：0

作者：

De Boeck, Maarten ^{[1
]}

机构：

[1] UGent, Dept Math, Krijgslaan 281-S22, B-9000 Ghent, Flanders, Belgium

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2016年 / 24卷 / 06期

基金：

比利时弗兰德研究基金会;

关键词：

linear representation; Kakeya sets; edge-disjoint maximal cliques; bipartite graphs; NUMBER; SIZE;

D O I：

10.1002/jcd.21507

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Kakeya set in the linear representation T-2*(C), C a nonsingular conic, is the point set covered by a set of q+1 lines, one through each point of C. In this article, we classify the small Kakeya sets in T-2*(C). The smallest Kakeya sets have size [3q(2)+2q/4], and all Kakeya sets with weight less than [3(q(2) - 1)/4] + q are classified: there are approximately root q/2 types. (C) 2015 Wiley Periodicals, Inc.

引用

页码：265 / 278

页数：14

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