Ovoids and spreads of finite classical polar spaces
β Scribed by J. A. Thas
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 467 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0046-5755
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π SIMILAR VOLUMES
A partial t-spread in a projective space P is a set of mutually skew t-dimensional subspaces of P. In this paper, we deal with the question, how many elements of a partial spread Sf can be contained in a given d-dimensional subspace of P. Our main results run as follows. If any d-dimensional subspac
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