Publications
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On k-caps in PG(n,q), with q even and nU+22654 Ghent University
On k-caps in PG(n,q), with q even and nU+22653 Ghent University
General Galois geometries Ghent University
This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular ...
Arcs, caps and codes Ghent University
Open problems in finite projective spaces Ghent University
Finite Generalized Quadrangles Ghent University
SPG-reguli, SPG-systems, BLT-sets and sets with the BLT-property Ghent University
Characterizations of Hermitian varieties by intersection numbers Ghent University
In this paper, we give characterizations of the classical generalized quadrangles H(3, q (2)) and H(4, q (2)), embedded in PG(3, q (2)) and PG(4, q (2)), respectively. The intersection numbers with lines and planes characterize H(3, q (2)), and H(4, q (2)) is characterized by its intersection numbers with planes and solids. This result is then extended to characterize all Hermitian varieties in dimension at least 4 by their intersection numbers ...
Finite translation generalized quadrangles Ghent University
My talk is a survey on finite translation generalized quadrangles. To each translation generalized quadrangle of order (s, t), with s not equal 1 not equal t, there corresponds a set O(n, m, q) of q(m) + 1 (n - 1)-dimensional subspaces of the projective space PG(2n+m-1, q) satisfying (i) every three subspaces generate a PG (3n - 1, q) and (ii) for every such subspace pi there is a subspace PG(n + m - 1, q) containing pi and having empty ...