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On the simple connectedness of hyperplane complements in dual polar spaces

โœ Scribed by I. Cardinali; B. De Bruyn; A. Pasini

Book ID
108113970
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
574 KB
Volume
309
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES

A Remark on Non-Uniform Hyperplanes of F
A Remark on Non-Uniform Hyperplanes of Finite Thick Dual Polar Spaces
โœ Harm Pralle ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

Let be a finite thick dual polar space, and let H be a hyperplane of . Calling the elements of of type 2 quads, we call a quad ฮฑ โŠ‚ H singular (respectively subquadrangular or ovoidal) if H meets ฮฑ in the perp of a point (respectively in a full subquadrangle or in an ovoid). A hyperplane is said to b

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