Direct constructions of hyperplanes of dual polar spaces arising from embeddings

DOI10.1007/s00026-010-0056-3zbMath1236.51004OpenAlexW2040626763MaRDI QIDQ659585

Bart De Bruyn

Publication date: 24 January 2012

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

Full work available at URL: https://biblio.ugent.be/publication/1105428

zbMATH Keywords

hyperplanedual polar spacefull embeddingspin-embeddingGrassmann-embeddinghyperplane arising from an embedding

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A property of isometric mappings between dual polar spaces of type \(DQ(2n,{\mathbb{K}})\)
• The hyperplanes of \(DQ^-(7,\mathbb K)\) arising from embedding
• Minimal full polarized embeddings of dual polar spaces
• The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings
• Ovoids of PG(3,16) are elliptic quadrics
• A decomposition of the natural embedding spaces for the symplectic dual polar spaces
• On the simple connectedness of hyperplane complements in dual polar spaces
• The hyperplanes of \(DW(5,2^h)\)which arise from embedding
• Ovoides et groupes de Suzuki
• Near \(n\)-gons and line systems
• Dual polar spaces
• On the generation of dual polar spaces of symplectic type over finite fields
• On Veldkamp lines
• Spreads and ovoids in finite generalized quadrangles
• On the generation of dual polar spaces of unitary type over finite fields
• Ovoids of parabolic spaces
• Embeddings and expansions
• Locally singular hyperplanes in thick dual polar spaces of rank 4.
• On ovoids of parabolic quadrics
• A note on embedding and generating dual polar spaces
• Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad
• The hyperplanes of DH(5, q 2)
• The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces
• On the Grassmann-embeddings of the hermitian dual polar spaces

This page was built for publication: Direct constructions of hyperplanes of dual polar spaces arising from embeddings