On triples of ideal chambers in A2-buildings
Metric Geometry
2019-06-05 v2 Geometric Topology
Abstract
We investigate the geometry in a real Euclidean building X of type A2 of some simple configurations in the associated projective plane at infinity P, seen as ideal configurations in X, and relate it with the projective invariants (from the cross ratio on P). In particular we establish a geometric classification of generic triples of ideal chambers of X and relate it with the triple ratio of triples of flags.
Cite
@article{arxiv.1504.00285,
title = {On triples of ideal chambers in A2-buildings},
author = {Anne Parreau},
journal= {arXiv preprint arXiv:1504.00285},
year = {2019}
}
Comments
to appear in Innovations in Incidence Geometry