Spanning point-line geometries in buildings of spherical type |
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| Authors: | Rieuwert J Blok Andries E Brouwer |
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| Institution: | (1) Dept. of Pure Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands;(2) Dept. of Mathematics, Techn. Univ. Eindhoven, P.O. Box 512, 5600 MB Eindhoven, The Netherlands |
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| Abstract: | We consider the point-line geometries that arise as a shadow space in a spherical building with a diagram of type An, Bn, Cn, 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. |
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