Sets of generators blocking all generators in finite classical polar spaces

摘要

We introduce generator blocking sets of finite classical polar spaces. These sets are a generalisation of maximal partial spreads. We prove a characterization of these minimal sets of the polar spaces Q(2n,q), Q-(2n + 1,q) and H(2n,q ~2), in terms of cones with vertex a subspace contained in the polar space and with base a generator blocking set in a polar space of rank 2.