Der Satz von Pascal, Ovale und Kubale
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.
scientific article; zbMATH DE number 3937941