Spanning Point-Line Geometries in Buildings of Spherical Type

摘要

The authors consider the point-line geometries that arise as a shadow space in aspherical building with a diagram of type An, Bn, Dn or En, and determine in which cases the geometry is spanned by the set of points on an apartment. It turns out that this happens precisely in the cases corresponding to a minimal weight. (Copyright (c) 1995 by Faculty of Technical Mathematics and Informatics, Delft.)