On the simple connectedness of hyperplane complements in dual polar spaces

DOI10.1016/j.disc.2007.12.006zbMath1160.51004OpenAlexW2032243631MaRDI QIDQ998527

Antonio Pasini, Bart De Bruyn, Ilaria Cardinali

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/879048

zbMATH Keywords

diagram geometryuniversal embeddingdual polar spaces

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items

The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings, On hyperbolic sets of maxes in dual polar spaces, Hyperplanes and projective embeddings of dual polar spaces, Non-classical hyperplanes of finite thick dual polar spaces, On extensions of hyperplanes of dual polar spaces, The hyperplanes of finite symplectic dual polar spaces which arise from projective embeddings, New flag-transitive geometries for the groups \(\mathrm{Sp}_4(K)\) and \(\mathrm{SU}_5(K)\), Direct constructions of hyperplanes of dual polar spaces arising from embeddings, A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3, On the simple connectedness of hyperplane complements in dual polar spaces. II., On the Grassmann module of symplectic dual polar spaces of rank 4 in characteristic 3, An Outline of Polar Spaces: Basics and Advances, The combinatorial properties of the hyperplanes of \(D\)W\((5,q)\) arising from embedding, Polarized and homogeneous embeddings of dual polar spaces

Cites Work

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