5 citations · 9 across the 22 of their papers we have counts for
8 papers · 1 filter
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric \Q(2n,q)
Jeroen Schillewaert, Geertrui Van de Voorde
We provide a natural characterisation for the sets of elliptic and hyperbolic hyperplanes of the parabolic quadric Q(2n,q) when q is even. This characterisation is based on the num…
Quasi-polar spaces
Jeroen Schillewaert, Geertrui Van de Voorde
Quasi-polar spaces are sets of points having the same intersection numbers with respect to hyperplanes as classical polar spaces. Non-classical examples of quasi-quadrics have been…
On exceptional Lie geometries
Anneleen De Schepper, Jeroen Schillewaert, Hendrik Van Maldeghem +1
Parapolar spaces are point-line geometries introduced as a geometric approach to (exceptional) algebraic groups. We characterize a wide class of Lie geometries as parapolar spaces…
Characterising hyperbolic hyperplanes of a non-singular quadric in
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson +1
Let be a non-empty set of hyperplanes in , even, such that every point of lies in either , or hyperplanes of , and…
On exceptional compact homogeneous geometries of type C3
Jeroen Schillewaert, Koen Struyve
We provide a uniform framework to study the exceptional homogeneous compact geometries of type C3. This framework is then used to show that these are simply connected, answering a…
Solution to Bishnoi's conjecture on minimal t-fold blocking sets of maximal size
Jeroen Schillewaert
Bishnoi conjectured that if a minimal t-fold blocking set in a projective plane of prime power order has maximal size then it is either a projective plane minus one point, the comp…
Minimal multiple blocking sets
Anurag Bishnoi, Sam Mattheus, Jeroen Schillewaert
We prove that a minimal -fold blocking set in a finite projective plane of order has cardinality at most \[\frac{1}{2} n\sqrt{4tn - (3t + 1)(t - 1)} + \frac{1}{2} (t - 1)n +…
Characterizations of finite classical polar spaces by intersection numbers with hyperplanes and speces of codimension 2
Stefaan De Winter, Jeroen Schillewaert
In this article we show that non-singular quadrics and non-singular Hermitian varieties are completely characterized by their intersection numbers with respect to hyperplanes and s…