On the uniqueness of \((q+1)_ 4\)-arcs of \(PG(4,q),q=2^ h,h\vee\)
type: Item
instance of: scholarly article
title: On the uniqueness of \((q+1)_ 4\)-arcs of \(PG(4,q),q=2^ h,h\vee\)
zbMATH Open document ID: 0535.51016
DOI: 10.1016/0012-365X(84)90180-8
author: L. R. A. Casse
author: David G. Glynn
published in: Discrete Mathematics
publication date: 1984-01-01T00:00:00Z
review text: A \(k_ r\)-arc is a set of k points of PG(r,q), no \(r+1\) of which are linearly dependent. The authors prove that (1) in PG(3,q) with \(q=2^ h\) and \(h\geq 3\), every \(q_ 3\)-arc can be uniquely completed to a \((q+1)_ 3\)-arc; (2) in PG(4,q) with \(q=2^ h\) and \(h\geq 3\), every \((q+1)_ 4\)- arc is a normal rational curve.
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 3849978
zbMATH Keywords: arc
zbMATH Keywords: bisecant line
zbMATH Keywords: chord
zbMATH Keywords: tangent line
zbMATH Keywords: normal rational curve
MaRDI profile type: Publication
cites work: Q5796828
cites work: Q5566211
cites work: The solution to Beniamino Segre's problem \(I_ p,\),p=3, q=\(2^ k\).
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full work available at URL: 0012-365x(84)90180-8
OpenAlex ID: W2057545250
description: scientific article; zbMATH DE number 3849978