DW(6,n), n>2, has no ovoid: A single proof
Algebraic Geometry
2007-05-23 v1 Combinatorics
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.
Cite
@article{arxiv.math/0312053,
title = {DW(6,n), n>2, has no ovoid: A single proof},
author = {Harm Pralle},
journal= {arXiv preprint arXiv:math/0312053},
year = {2007}
}
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7 pages