Cross-intersecting Erdős-Ko-Rado sets in finite classical polar spaces (Q491543)

Summary: A cross-intersecting Erdős-Ko-Rado set of generators of a finite classical polar space is a pair \((Y, Z)\) of sets of generators such that all \(y \in Y\) and \(z \in Z\) intersect in at least a point. We provide upper bounds on \(|Y| \cdot |Z|\) and classify the cross-intersecting Erdős-Ko-Rado sets of maximum size with respect to \(|Y| \cdot |Z|\) for all polar spaces except some Hermitian polar spaces.