A new proof of the existence of \((q^ 2-q+1)\)-arcs in \(PG(2,q^ 2)\)
type: Item
instance of: scholarly article
title: A new proof of the existence of \((q^ 2-q+1)\)-arcs in \(PG(2,q^ 2)\)
zbMATH Open document ID: 0839.51009
DOI: 10.1007/BF01224038
published in: Journal of Geometry
publication date: 2000-06-26T00:00:00Z
review text: The present article contains two theorems and their proofs on existence of \((q^2 - q + 1)\)-arcs in \(\text{PG} (2, q^2)\). The author shows that each point-orbit which is disjoint from the sides of the fundamental triangle is a \((q^2 - q + 1)\)-arc and that each Desarguesian plane of order \(q^2\) contains a cyclic \((q^2 - q + 1)\)-arc.
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 785145
zbMATH Keywords: \((q^ 2 - q + 1)\)-arcs
author: Antonio Cossidente
reviewed by: Pavel Burda
MaRDI profile type: Publication
cites work: On the sharpness of a theorem of B. Segre
cites work: Q3717726
cites work: Unital intersections in finite projective planes
cites work: A family of complete arcs in finite projective planes
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description: scientific article; zbMATH DE number 785145