Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding

DOI10.1016/j.laa.2008.05.036zbMath1160.51003OpenAlexW2013735531MaRDI QIDQ947667

Bart De Bruyn

Publication date: 6 October 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.036

zbMATH Keywords

hyperplanedual polar spaceuniversal embeddingGrassmann embeddinghyperbolic line

Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (6)

On hyperovals of polar spaces ⋮ The hyperplanes of the \(U_{4}(3)\) near hexagon ⋮ Hyperplanes of \(DW(5,\mathbb K)\) containing a quad ⋮ Pseudo-embeddings of the (point, \(k\)-spaces)-geometry of \(\mathrm{PG}(n,2)\) and projective embeddings of \(\mathrm{DW}(2n-1,2)\) ⋮ The valuations of the near octagon \(\mathbb G_4\) ⋮ Locally subquadrangular hyperplanes in symplectic and Hermitian dual polar spaces

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