Quadratic sets of a 3-dimensional locally projective regular planar space

被引：0

作者：

Di Gennaro, R ^{[1
]}

Durante, N ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2004年 / 11卷 / 02期

关键词：

D O I：

10.36045/bbms/1086969318

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper quadratic sets of a 3-dimensional locally projective regular planar space (S, L, P) of order n are studied and classified. It is proved that if in (S,,C,P) there is a non-degenerate quadratic set H, then the planar space is either PG (3, n) or AG (3, n). Moreover in the first case H is either an ovoid or an hyperbolic quadric, in the latter case H is either a cylinder with base an oval or a pair of parallel planes.

引用

页码：281 / 288

页数：8

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