Journal of Siberian Federal University. Mathematics & Physics / Studies on Systems of Six Lines on a Projective Plane over a Prime Field

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2008 1 (2)
Authors
Sekiguchi, Jiro
Contact information
Department of Mathematics,Tokyo University of Agriculture and Technology, Koganei, Tokyo 184-8588, Japan, e-mail:
Keywords
projective plane; finite prime field; quadratic residue
Abstract

A simple six-line arrangement on a projective plane is obtained by a system of six labelled lines L1,L2,...,L6 with the conditions; (1) they are mutually different and (2) no three of them intersect at a point. We add the condition that (3) there is no conic tangent to all the lines. The main subject of this paper is to treat such arrangements on a projective plane over a finite prime field.

Pages
140-151
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/714