Finite geometry and the Gale transform

被引：3

作者：

Cossidente, Antonio ^{[1
]}

Sonnino, Angelo ^{[1
]}

机构：

[1] Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy

来源：

DISCRETE MATHEMATICS | 2010年 / 310卷 / 22期

关键词：

Cap; Gale transform; Projective space;

D O I：

10.1016/j.disc.2009.08.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Gale transform is an involution on sets of points in a projective space. It plays a crucial role in several different subjects, such as algebraic geometry, optimization, coding theory, etc. Sometimes, in the literature, the Gale transform is used implicitly, without mentioning it as such. In the present paper, we give a short account of the algebraic and geometrical implications that the Gale transform has when it is applied to sets of points in finite projective spaces. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：3206 / 3210

页数：5