5 papers · 1 filter
Triangular hyperbolic buildings
Riikka Kangaslampi, Alina Vdovina
We construct triangular hyperbolic polyhedra whose links are generalized 4-gons. The universal cover of those polyhedra are hyperbolic buildings, which appartments are hyperbolic p…
-algebras coming from some buildings
Alina Vdovina
We construct compact polyhedra with triangular faces whose links are generalized 3-gons. They are interesting compact spaces covered by Euclidean buildings of type . Those spa…
Groups, periodic planes and hyperbolic buildings
Alina Vdovina
We give an elementary construction of polyhedra whose links are connected bipartite graphs, which are not necessarily isomorphic pairwise. We show, that the fundamental groups of s…
Polyhedra with specified links
Alina Vdovina
We construct compact polyhedra with -gonal faces whose links are generalized 3-gons. It gives examples of cocompact hyperbolic bildings of type . For we get compac…
Counting 1-vertex Triangulations Of Oriented Surfaces
Roland Bacher, Alina Vdovina
A {\em vertex triangulation} of an oriented compact surface of genus is an embedded graph with a unique vertex such that all connected components of $S\set…