Der Satz von Pascal, Ovale und Kubale
type: Item
instance of: scholarly article
title: Der Satz von Pascal, Ovale und Kubale
zbMATH Open document ID: 0585.51009
published in: Mathematische Semesterberichte
publication date: 1985-01-01T00:00:00Z
review text: This article, as indicated by the title, discusses conic sections and ovals in (finite) desarguesian projective planes, and their arcs in three dimensional spaces. Several characterizations of conic sections are presented, including Segre's theorem that every oval in PG(3,q) with q odd is a conic section. The last section discusses arcs in PG(3,q), and the author proves Segre's result that every maximal arc in PG(3,q), when q is odd and at least 5, is a cubic space curve. The article is a nicely written exposition that is well worth reading for anyone interested in the subject matter.
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 51A30
zbMATH DE Number: 3937941
zbMATH Keywords: conic sections
zbMATH Keywords: ovals
zbMATH Keywords: desarguesian projective planes
zbMATH Keywords: Segre's theorem
author: Guenter Pickert
reviewed by: Michael J. Kallaher
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3937941