Locally subquadrangular hyperplanes in symplectic and Hermitian dual polar spaces

DOI10.1016/j.ejc.2009.08.002zbMath1207.51001OpenAlexW1971500369MaRDI QIDQ992787

Bart De Bruyn

Publication date: 10 September 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/1105442

zbMATH Keywords

polar spaceslocally subquadrangular hyperplanessymplectic dual polar spaces

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Hyperplanes of dual polar spaces and the spin module
• The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings
• Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding
• Dual polar spaces
• Buildings of spherical type and finite BN-pairs
• On Veldkamp lines
• The non-existence of ovoids in the dual polar space DW(5, \(q\))
• Ovoids in infinite incidence structures
• Extending polar spaces of rank at least 3
• Isometric full embeddings of \(DW(2n - 1,q)\) into \(DH(2n - 1,q^{2}\))
• Locally singular hyperplanes in thick dual polar spaces of rank 4.
• On hyperovals of polar spaces
• The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces
• Uniform hyperplanes of finite dual polar spaces of rank 3

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