On the maximum size of Erdős-Ko-Rado sets in $H(2d+1, q^2)$

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Abstract

Erdős-Ko-Rado sets in finite classical polar spaces are sets of generators that intersect pairwise non-trivially. We improve the known upper bound for Erdős-Ko-Rado sets in $H(2d+1, q^2)$ for $d>2$ and $d$ even from approximately $q^{d^2+d}$ to $q^{d^2+1}.$

Communicated by J. D. Key.
Dedicated to Dieter Jungnickel on the occasion of his sixtieth birthday.