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

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

2003-12-02

arxiv.org/abs/math/0312053v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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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