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» On hyperovals of polar spaces
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DCC
2010
IEEE
13 years 5 months ago
On hyperovals of polar spaces
We derive lower and upper bounds for the size of a hyperoval of a finite polar space of rank r {2, 3}. We give a computer-free proof for the uniqueness, up to isomorphism, of the...
Bart De Bruyn
DM
2010
103views more  DM 2010»
13 years 3 months ago
The hyperplanes of DQ-(7, k) arising from embedding
We determine all hyperplanes of the dual polar space DQ−(7, K) which arise from embedding. This extends one of the results of [5] to the infinite case.
Bart De Bruyn
DM
2010
86views more  DM 2010»
13 years 2 months ago
On the simple connectedness of hyperplane complements in dual polar spaces, II
Suppose is a dual polar space of rank n and H is a hyperplane of . Cardinali, De Bruyn and Pasini have already shown that if n 4 and the line size is greater than or equal to fo...
Justin McInroy, Sergey Shpectorov
EJC
2010
13 years 5 months ago
Locally subquadrangular hyperplanes in symplectic and Hermitian dual polar spaces
In [11] all locally subquadrangular hyperplanes of finite symplectic and Hermitian dual polar spaces were determined with the aid of counting arguments and divisibility properties...
Bart De Bruyn