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DM
2010
86views more  DM 2010»
13 years 8 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
JCT
2002
53views more  JCT 2002»
13 years 10 months ago
On Two-Intersection Sets with Respect to Hyperplanes in Projective Spaces
In [2] a construction of a class of two-intersection sets with respect to hyperplanes in PG(r - 1, qt ), rt even, is given, with the same parameters as the union of (qt/2 - 1)/(q ...
Aart Blokhuis, Michel Lavrauw
DCG
2002
106views more  DCG 2002»
13 years 10 months ago
Perpendicular Dissections of Space
For each pair (Qi, Qj) of reference points and each real number r there is a unique hyperplane h QiQj such that d(P, Qi)2 - d(P, Qj)2 = r for points P in h. Take n reference point...
Thomas Zaslavsky
EJC
2007
13 years 11 months ago
The exceptional hyperplanes of DH(5, 4)
In [2], we showed the existence of five isomorphism classes of hyperplanes in each dual polar space of type DH(5, q2). We also proved there that every hyperplane of DH(5, q2) bel...
Bart De Bruyn, Harm Pralle