Generalising a characterisation of Hermitian curves

Date

2001

Authors

Barwick, S.
Quinn, C.

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Journal of Geometry, 2001; 70(1-2):1-7

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S. G. Barwick and Catherine T. Quinn

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Abstract

This article proves a characterisation of the classical unital that is a generalisation of a characterisation proved in 1982 by Lefèvre-Percsy. It is shown that if U is a Buekenhout-Metz unital with respect to a line l∞ in PG(2, q²) such that a line of PG(2, q²) not through U Ո l∞ meets U in a Baer subline, then U is classical. An immediate corollary is that if U is a unital in PG(2, q²) such that U is Buekenhout-Metz with respect to two distinct lines, then U is classical.

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The original publication can be found at www.springerlink.com

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