3 research outputs found
The simple connectedness of hyperplane complements in thick dual polar spaces of rank at least 4
3Let be a dual polar space of rank , be a hyperplane of
and be the complement of in . We shall prove that, if all lines of have more than points, then is simply connected. Then we show how this theorem can be exploited to prove that certain families of hyperplanes of dual polar spaces, or all hyperplanes of certain dual polar spaces, arise from embeddings.MathScinet review code:MR2309508
Zentralblatt review code:Zbl 1243.51001reservedmixedI. CARDINALI; DE BRUYN; PASINICardinali, Ilaria; De, Bruyn; Pasini