Configurations of ovals
type: Item
instance of: scholarly article
title: Configurations of ovals
zbMATH Open document ID: 1042.51010
author: Tim Penttila
published in: Journal of Geometry
publication date: 2003-08-31T00:00:00Z
review text: In this survey paper the author reviews the known hyperovals in PG\((2,q)\) and discusses the relationship of the study of configurations of ovals in PG\((2,q)\), called augmented fans, to that of ovoids in PG\((3,q)\), flocks of a translation oval cone of PG\((3,q)\) and spreads of certain generalized quadrangles of order \(q\). Furthermore, the author considers configurations of ovals in PG\((2,q)\), called herds, and their relationship with flocks of the quadratic cone of PG\((3,q)\). The results cited in this paper are far too numerous to be restated here. The interested reader is referred to the original paper.
reviewed by: Wolfgang Lempken
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 1972491
zbMATH Keywords: ovals
zbMATH Keywords: hyperovals
zbMATH Keywords: augmented fans
zbMATH Keywords: ovoids
zbMATH Keywords: spreads
zbMATH Keywords: flocks
zbMATH Keywords: herds
MaRDI profile type: Publication
full work available at URL: s00022-003-1700-4
OpenAlex ID: W331589662
DOI: 10.1007/S00022-003-1700-4
description: scientific article; zbMATH DE number 1972491