Characterizations of Hermitian varieties by intersection numbers

被引：0
|
作者：
J. Schillewaert
J. A. Thas
机构：
[1] Ghent University,Department of Pure Mathematics and Computer Algebra
来源：
Designs, Codes and Cryptography | 2009年 / 50卷
关键词：
Hermitian variety; 1-or-all axiom; Intersection number; 51E20; 05B25 ; 51A45 ; 51A50; 51E12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give characterizations of the classical generalized quadrangles H(3, q2) and H(4, q2), embedded in PG(3, q2) and PG(4, q2), respectively. The intersection numbers with lines and planes characterize H(3, q2), and H(4, q2) is characterized by its intersection numbers with planes and solids. This result is then extended to characterize all Hermitian varieties in dimension at least 4 by their intersection numbers with planes and solids.
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页码：41 / 60
页数：19
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