Sur les immeubles hyperboliques
D. Gaboriau et F. Paulin
Article publié :
Geom. Dedic. 88 (2001) 153-197
Lien vers Geometriae
Dedicata
Télécharger l'article : pdf (480K),
ps (480K)
Abstract
The aim of this paper is to give a geometric approach to Tits' "amalgam
method" to construct buildings, and to initiate a study of hyperbolic buildings,
i.e. whose types are reflexion systems of the real hyperbolic space. We
construct lots of examples, and study their cohomology at infinity. We
construct CAT(-1) polyhedral complexes having big discrete parabolic groups
of isometries.