John Bamberg, Jan De Beule, Ferdinand Ihringer
Published 2015-02-06Version 1
We develop a theory for ovoids and tight sets in finite classical polar spaces, and we illustrate the usefulness of the theory by providing new proofs for the non-existence of ovoids of particular finite classical polar spaces, including $\mathsf{Q}^+(9, q)$, $q$ even, and $\mathsf{H}(5, 4)$. We also improve the results of A. Klein on the non-existence of ovoids of $\mathsf{H}(2n+1,q^2)$ and $\mathsf{Q}^+(2n+1, q^2)$.
A new family of $(q^4+1)$-tight sets with an automorphism group $F_4(q)$
On $m$-ovoids of finite classical polar spaces with an irreducible transitive automorphism group
A new family of tight sets in $\mathcal{Q}^{+}(5,q)$
![QR code for arXiv:1502.01926 [math.CO]](http://oss.arxitics.com/images/favicon.svg)