Sets of generators blocking all generators in finite classical polar spaces

摘要

We introduce generator blocking sets of finite classical polar spaces. Thesesets are a generalisation of maximal partial spreads. We prove acharacterization 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 polarspace and with base a generator blocking set in a polar space of rank 2.