The non-existence of ovoids in the dual polar space DW(5,q)

An ovoid of a dual polar space D is a set of points meeting every line of D in exactly one point. In this paper, we consider the dual DW(5,q) of the polar space W(5,q) associated to a non-degenerate alternating form of V(6,q), proving that no ovoids exist in DW(5,q).