A characterisation of classical unitals
Copyright policy )A characterisation of classical unitals
A unital in a Desarguesian projective plane \(PG(2,q)\), \(q\) square, is a point set consisting of \(q \sqrt{q} +1\) points such that any line of \(PG(2,q)\) meets it in either \(1\) point or \(\sqrt{q} +1\) points. The paper under review presents a different and shorter proof of a result due to \textit{A. Cossidente, G. L. Ebert} and \textit{G. Korchmaros} [Arch. Math. 74, 1--5 (2000; Zbl 0961.51006)] characterising classical unitals, i.e. unitals consisting of the absolute points and non-absolute lines with respect to a unitary polarity of \(PG(2,q)\).
- University of Brescia Italy
unital, finite projective plane, Combinatorial structures in finite projective spaces, Blocking sets, ovals, \(k\)-arcs, Unitals; Hermitian curves; Singer cycles, Combinatorial aspects of finite geometries, Singer group, Classical groups (algebro-geometric aspects)
unital, finite projective plane, Combinatorial structures in finite projective spaces, Blocking sets, ovals, \(k\)-arcs, Unitals; Hermitian curves; Singer cycles, Combinatorial aspects of finite geometries, Singer group, Classical groups (algebro-geometric aspects)
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