Blocking sets of H(n, q2) with respect to generators

We construct minimal blocking sets with respect to generators on the Her-mitian surfaces H(n, q2) when n and q are both odd. A blocking set arises from q + 1 quadrics in PG(n, q2) whose polarities commute with a unitary polarity, constructed from the union of Baer sub-quadrics with the common intersections deleted. Key words: blocking sets, Hermitian surface, commuting polarities 1