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The hyperplanes of finite symplectic dual polar spaces which arise from projective embeddings

โœ Scribed by Bart De Bruyn


Book ID
113582374
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
267 KB
Volume
32
Category
Article
ISSN
0195-6698

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Two new classes of hyperplanes of the du
โœ Bart De Bruyn ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

Let n (q) denote the geometry of the hyperbolic lines of the symplectic polar space W (2n -1, q), n 2. We show that every hyperplane of n (q) gives rise to a hyperplane of the Hermitian dual polar space DH (2n -1, q 2 ). In this way we obtain two new classes of hyperplanes of DH (2n -1, 4) which do