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Locally singular hyperplanes in thick dual polar spaces of rank 4

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

Book ID
111713177
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
173 KB
Volume
113
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

Uniform Hyperplanes of Finite Dual Polar
Uniform Hyperplanes of Finite Dual Polar Spaces of Rank 3
โœ A. Pasini; S. Shpectorov ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 124 KB

Let 2 be a finite thick dual polar space of rank 3. We say that a hyperplane H of 2 is locally singular (respectively, quadrangular or ovoidal) if H & Q is the perp of a point (resp. a subquadrangle or an ovoid) of Q for every quad Q of 2. If H is locally singular, quadrangular, or ovoidal, then we

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