On the simple connectedness of hyperplane complements in dual polar spaces. II. (Q966002)

Let \(\Delta \) be a dual polar space of rank \(n\) and \(H\) a hyperplane of \(\Delta \). \textit{I. Cardinali, B. De Bruyn} and \textit{A. Pasini} proved that if \(n\geq 4\) and the line size is at least 4, then the hyperplane complement \(\Delta \backslash H\) is simply connected [part I of this paper, Discrete Math. 309, No.~2, 294--303 (2009; Zbl 1160.51004)]. In this paper the remaining cases are investigated. It is shown that the hyperplane complements are simply connected in all cases except for three specific types of hyperplanes occurring in the smallest case, when the rank and the line size are both~3.