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On triples of ideal
chambers in $A_2$-buildings
Anne Parreau |
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Vol. 17 (2019), No. 2, 109–140
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Abstract |
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We investigate the geometry in a real Euclidean building of type of some simple configurations in the associated projective plane at infinity , seen as ideal configurations in , and relate it with the projective invariants (from the cross ratio on ). In particular we establish a geometric classification of generic triples of ideal chambers of and relate it with the triple ratio of triples of flags. |
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Keywords
Euclidean buildings, projective planes, ideal
configurations, triple ratio
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Mathematical Subject Classification 2010
Primary: 51E24
Secondary: 20E42
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Milestones
Received: 21 July 2016
Revised: 10 December 2018
Accepted: 29 December 2018
Published: 31 May 2019
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Authors |
| Anne Parreau | |
| Université Grenoble Alpes CNRS IF Grenoble France |
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