Semiquadratic sets and embedded polar spaces
type: Item
instance of: scholarly article
title: Semiquadratic sets and embedded polar spaces
zbMATH Open document ID: 0928.51003
DOI: 10.1007/BF01229217
author: Peter M. Johnson
published in: Journal of Geometry
publication date: 1999-05-26T00:00:00Z
review text: This interesting paper is an essay on embedded polar spaces. No new results are proved, but the theory and proofs are streamlined. Moreover, the author uses some new ideas to present synthetic non-inductive arguments (and consequently no finiteness assumption is needed). The basic tool is the notion of a ``semiquadratic set'' as introduced by \textit{F. Buekenhout} and \textit{C. Lefevre} [J. Geom. 7, 17-42 (1976; Zbl 0312.50021)]. In fact, the whole paper can be seen as an application of this notion. Although this paper does not really contain new results, it contains many new ideas and I would highly recommend it as both a survey paper and a kind of demonstration paper of how beautiful and strong pure geometry can be.
Mathematics Subject Classification ID: 51A50
Mathematics Subject Classification ID: 51E12
zbMATH DE Number: 1292222
zbMATH Keywords: semiquadratic set
zbMATH Keywords: embeddings
zbMATH Keywords: generalized quadrangles
zbMATH Keywords: polar spaces
reviewed by: Hendrik Van Maldeghem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1292222