DW(6,n), n>2, has no ovoid: A single proof

2003/12/02 by Harm Pralle, Pralle, Harm
Computer Science · Mathematics · #Advanced Topics in Algebra #Coding theory and cryptography #Finite Group Theory Research #math.AG #math.CO #msc:51A15 #msc:51A50

paper · pdf · doi:10.48550/arxiv.math/0312053

7 pages

arxiv created 2003/12/02 · arxiv updated 2009/12/01

Abstract

An ovoid of a dual polar space is a point set meeting every line in exactly one point. For the symplectic dual polar space DW(6,q), Cooperstein and Pasini have recently proved no ovoid exists if q is odd. Earlier, Shult has proved the same for even q. In this paper, we prove the non-existence of ovoids of DW(6,q) independently from the parity of q.

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