Open Access
January 2006 The Hermitian variety $H(5,4)$ has no ovoid
Jan De Beule, Klaus Metsch
Bull. Belg. Math. Soc. Simon Stevin 12(5): 727-733 (January 2006). DOI: 10.36045/bbms/1136902610

Abstract

In this paper, the non-existence of ovoids of the polar space $H(5,4)$ is shown using a geometrical and combinatorial approach. We also give a new and unified proof for the non-existence of ovoids in the polar spaces $Q^-(2n+1,q)$, $H(2n,q^2)$ and $W(2n+1,q)$ for $n\geq 2$.

Citation

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Jan De Beule. Klaus Metsch. "The Hermitian variety $H(5,4)$ has no ovoid." Bull. Belg. Math. Soc. Simon Stevin 12 (5) 727 - 733, January 2006. https://doi.org/10.36045/bbms/1136902610

Information

Published: January 2006
First available in Project Euclid: 10 January 2006

zbMATH: 1139.51017
MathSciNet: MR2241338
Digital Object Identifier: 10.36045/bbms/1136902610

Keywords: Hermitian variety , ovoid , polar space

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.12 • No. 5 • January 2006
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