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The hyperplanes of which arise from embedding

✍ Scribed by Bart De Bruyn


Book ID
108113972
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
947 KB
Volume
309
Category
Article
ISSN
0012-365X

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Two new classes of hyperplanes of the du
✍ Bart De Bruyn πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 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