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
DOI: 10.2140/iig.2013.13.179
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