Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648439 | Discrete Mathematics | 2010 | 8 Pages |
Abstract
Suppose ΔΔ is a dual polar space of rank nn and HH is a hyperplane of ΔΔ. Cardinali, De Bruyn and Pasini have already shown that if n≥4n≥4 and the line size is greater than or equal to 4 then the hyperplane complement Δ−HΔ−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 for three specific types of hyperplane occurring in the smallest case, when the rank and the line size are both 3.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Justin McInroy, Sergey Shpectorov,