Conic blocking sets in Desarguesian projective planes

被引：0

作者：

Holder L.D. ^{[1
]}

机构：

[1] St. Mary's University, Department of Mathematics, San Antonio, TX 78228-8560, One Camino Santa Maria

来源：

Journal of Geometry | 2004年 / 80卷 / 1-2期

关键词：

Cones; Conic blocking sets; Flocks; Projective planes;

D O I：

10.1007/s00022-004-1762-y

中图分类号：

学科分类号：

摘要：

Define a conic blocking set to be a set of lines in a Desarguesian projective plane such that all conics meet these lines. Conic blocking sets can be used in determining if a collection of planes in projective three-space forms a flock of a quadratic cone. We discuss trivial conic blocking sets and conic blocking sets in planes of small order. We provide a construction for conic blocking sets in planes of non-prime order, and we make additional comments about the structure of these conic blocking sets in certain planes of even order. © Birkhäuser Verlag, Basel, 2004.

引用

页码：95 / 105

页数：10

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