Vol. 13, No. 1, 2013

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A characterization of point shadows of residues in building geometries

Anna Kasikova

Vol. 13 (2013), No. 1, 179–206
Abstract

We characterize shadows of residues in building shadow spaces by local properties. The results are applied to buildings with diagram Yl,m,n (including Ek, k {6,7,8}, and Dk) to show that every subspace isomorphic to the shadow of a residue is the shadow of a residue.

Keywords
building, incidence geometry, point-line geometry, shadow space, building Grassmannian
Mathematical Subject Classification 2010
Primary: 51E24
Milestones
Received: 28 January 2013
Accepted: 4 April 2013
Authors
Anna Kasikova