A characterisation of the planes meeting a non-singular quadric of PG(4,Q) in a conic

A characterisation of the planes meeting a non-singular quadric of PG(4,Q) in a conic

By counting and geometric arguments, we provide a combinatorial characterisation of the planes meeting the non-singular quadric of PG (4, q ) in a conic. A characterisation of the tangents and generators of this quadric when q is odd has been proved by de Resmini [15], and we give an alternative usi...

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Veröffentlicht in:Combinatorica (Budapest. 1981) 2013-04, Vol.33 (2), p.161-179
1. Verfasser: Butler, David K.
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Mathematics
Mathematics and Statistics
Original Paper
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Zusammenfassung:By counting and geometric arguments, we provide a combinatorial characterisation of the planes meeting the non-singular quadric of PG (4, q ) in a conic. A characterisation of the tangents and generators of this quadric when q is odd has been proved by de Resmini [15], and we give an alternative using our result.
ISSN:0209-9683
1439-6912
DOI:10.1007/s00493-013-2402-7