The ovoidal hyperplanes of a dual polar space of rank 4

DOI10.1515/ADVGEOM.2007.001zbMath1135.51008MaRDI QIDQ5295327

Harm Pralle, Sergey V. Shpectorov

Publication date: 27 July 2007

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

hyperplaneovoidgeneralized quadrangledual polar spacespread

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Spreads and packing problems in finite geometry (51E23) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (11)

A characterization of a class of hyperplanes of \(DW(2n-1,\mathbb{F})\) ⋮ A characterization of the SDPS-hyperplanes of dual polar spaces ⋮ Hyperplanes and projective embeddings of dual polar spaces ⋮ Non-classical hyperplanes of finite thick dual polar spaces ⋮ New flag-transitive geometries for the groups \(\mathrm{Sp}_4(K)\) and \(\mathrm{SU}_5(K)\) ⋮ Isometric full embeddings of \(DW(2n - 1,q)\) into \(DH(2n - 1,q^{2}\)) ⋮ On geometric SDPS-sets of elliptic dual polar spaces ⋮ The Use of Valuations for Classifying Point-Line Geometries ⋮ The uniqueness of the SDPS-set of the symplectic dual polar space \(DW(4n - 1,q),n\geq 2\) ⋮ Regular partitions of dual polar spaces ⋮ Valuations and hyperplanes of dual polar spaces

Cites Work

• The non-existence of ovoids in the dual polar space DW(5, \(q\))
• Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad
• Uniform hyperplanes of finite dual polar spaces of rank 3

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