\(m\)-systems in some parapolar spaces (Q2710253)

The author shows that in certain classes of polar spaces, the existence of partial ovoids guarantees the existence of partial spreads and (or) \(m\)-systems. In particular, the existence of ovoids in these cases guarantees the existence of spreads. The properties of some polar spaces are studied as part of parapolar spaces that satisfies the `pentagon property' -- this class includes geometries like \(C_{n,2}(K)\) and \(F_{4,1}(K)\).NEWLINENEWLINEFor the entire collection see [Zbl 0940.00021].