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Two new classes of hyperplanes of the dual polar space not arising from the Grassmann embedding

โœ Scribed by Bart De Bruyn


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
230 KB
Volume
429
Category
Article
ISSN
0024-3795

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โœฆ Synopsis


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 not arise from the Grassmann embedding of DH (2n -1, 4).


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