A characterization of point shadows of residues in building geometries (Q2016998)

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scientific article; zbMATH DE number 6308056
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A characterization of point shadows of residues in building geometries
scientific article; zbMATH DE number 6308056

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    A characterization of point shadows of residues in building geometries (English)
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    24 June 2014
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    In [Eur. J. Comb. 28, No. 5, 1493--1529 (2007; Zbl 1117.51016)], the author characterized shadows of apartments of residues in the point-line truncations of \(J\)-Grassmannians of buildings. In the paper under review, she more generally considers shadows of residues in the point-line truncations of \(J\)-Grassmann geometries \(\Sigma\) of buildings and presents two characterizations by local properties when full subgeometries of \(\Sigma\) are such shadows. The author then applies her results to certain buildings with simply laced diagrams.
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    building
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    incidence geometry
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    point-line geometry
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    shadow space
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    building Grassmannian
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