On m-ovoids of W3(q)

被引：18

作者：

Cossidente, A. ^{[2
]}

Culbert, C. ^{[3
]}

Ebert, G. L. ^{[1
]}

Marino, G. ^{[4
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

[2] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy

[3] Anne Arundel Community Coll, Dept Math, Arnold, MD 21002 USA

[4] Univ Naples Federico 2, Dept Math & Appl, I-80126 Naples, Italy

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2008年 / 14卷 / 01期

关键词：

symplectic generalized quadrangle; Singer cycle; m-ovoid;

D O I：

10.1016/j.ffa.2006.04.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the generalized quadrangle W-3(q) for odd q has exponentially many 1/2(q + 1)-ovoids, thus implying that the generalized quadrangle Q(4,q) has exponentially many hemisystems for odd q. For q even, we show that W-3(q) has m-ovoids for all integers m, 1 <= m <= q. Stabilizers are determined, and some computer results are given. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：76 / 84

页数：9

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