On the simple connectedness of hyperplane complements in dual polar spaces, II

Suppose is a dual polar space of rank n and H is a hyperplane of . Cardinali, De Bruyn and Pasini have already shown that if n 4 and the line size is greater than or equal to four then the hyperplane complement - H is simply connected. This paper is a follow-up, where we investigate the remaining cases. We prove that the hyperplane complements are simply connected in all cases except three specific types of hyperplanes occuring in the smallest case, when the rank and the line size are both three.

• Type: Journal
• Year: 2010
• Where: DM
• Authors: Justin McInroy, Sergey Shpectorov
• Keywords: DM 2010, Hyperplanes, Line Size, Simply Connected, Theoretical Computer Science