Ovoids of \(PG(3,16)\) are elliptic quadratics. II
type: Item
instance of: scholarly article
title: Ovoids of \(PG(3,16)\) are elliptic quadratics. II
zbMATH Open document ID: 0759.51006
DOI: 10.1007/BF01228289
author: Christine M. O'Keefe
author: Tim Penttila
published in: Journal of Geometry
publication date: 1993-01-16T00:00:00Z
review text: In part I [ibid. 38, No. 1/2, 95-106 (1990; Zbl 0707.51014)] the authors have shown that every ovoid of the projective space \(PG(3,16)\) is an elliptic quadric, using a computer. In part II, they give a computer-free proof of this result. This proof depends on work of \textit{D. G. Glynn} and the second author [A plane representation of ovoids, to appear] and the authors [Eur. J. Comb. 12, No. 1, 51-59 (1991; Zbl 0721.51011)]. A large part of the proof consists in excluding Lunelly-Sce ovals as plane sections of an ovoid in \(PG(3,16)\).
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51E15
zbMATH DE Number: 92580
zbMATH Keywords: ovoid
zbMATH Keywords: elliptic quadric
zbMATH Keywords: oval
MaRDI profile type: Publication
cites work: Q4937820
cites work: Ovals in the Desarguesian plane of order 16
cites work: Q3851217
cites work: Q3694152
cites work: Q4014431
cites work: Ovoids of PG(3,16) are elliptic quadrics
cites work: Hyperovals in PG(2,16)
cites work: An unusual generalized quadrangle of order sixteen
Wikidata QID: Q115611903
description: scientific article; zbMATH DE number 92580