5 citations · 9 across the 22 of their papers we have counts for
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Imbrex geometries
Jeroen Schillewaert, Hendrik Van Maldeghem
We introduce an axiom on strong parapolar spaces of diameter 2, which arises naturally in the framework of Hjelmslev geometries. This way, we characterize the Hjelmslev-Moufang pla…
Generalised Veroneseans
Andreas Klein, Jeroen Schillewaert, Leo Storme
In \cite{ThasHVM}, a characterization of the finite quadric Veronesean by means of properties of the set of its tangent spaces is proved. These tangent sp…
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…
Small maximal partial ovoids in generalized quadrangles
Jeroen Schillewaert, Jacques Verstraete
A {\em maximal partial ovoid} of a generalized quadrangle is a maximal set of points no two of which are collinear. The problem of determining the smallest size of a maximal partia…
On the varieties of the second row of the split Freudenthal-Tits Magic Square
Jeroen Schillewaert, Hendrik Van Maldeghem
Our main aim is to provide a uniform geometric characterization of the analogues over arbitrary fields of the four complex Severi varieties, i.e.~the quadric Veronese varieties in…