7 citations · 15 across the 17 of their papers we have counts for
23 papers
Fixed points for group actions on 2-dimensional affine buildings
Jeroen Schillewaert, Koen Struyve, Anne Thomas
We prove a local-to-global result for fixed points of groups acting on affine buildings (possibly non-discrete) of types or . In the discrete case, our t…
The triangle groups (2,4,5) and (2,5,5) are not systolic
Annette Karrer, Petra Schwer, Koen Struyve
In this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the triangle groups and are not systolic. Along the way we prove some…
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…
Universal groups for right-angled buildings
Tom De Medts, Ana C. Silva, Koen Struyve
In 2000, M. Burger and S. Mozes introduced universal groups acting on trees with a prescribed local action. We generalize this concept to groups acting on right-angled buildings. W…
Free constructions of geometries of Coxeter type
Koen Struyve
We establish two free constructions of geometries of Coxeter type. The first construction deals with any Coxeter diagram having no subdiagram of type A_3, the second one with diagr…
Severi's theorem for d-uple Veronese varieties
Jeroen Schillewaert, Koen Struyve
We characterize -uple Veronese embeddings of finite-dimensional projective spaces. The easiest non-trivial instance of our theorem is the embedding of the projective plane in 5-…