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|Title:||Generalising a characterisation of Hermitian curves|
|Citation:||Journal of Geometry, 2001; 70(1-2):1-7|
|Publisher:||Birkhauser Verlag Ag|
|S. G. Barwick and Catherine T. Quinn|
|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.|
|Keywords:||Desarguesian plane, Hermitian curve, unital|
|Description:||The original publication can be found at www.springerlink.com|
|Appears in Collections:||Pure Mathematics publications|
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