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» On hyperovals of polar spaces
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62
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DCC
2010
IEEE
14 years 10 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»
14 years 9 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»
14 years 7 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
58
Voted
EJC
2010
14 years 10 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