Remy, Bertrand and Thuillier, Amaury and Werner, Annette - Wonderful compactifications of Bruhat-Tits buildings

epiga:4138 - Épijournal de Géométrie Algébrique, 12 décembre 2017, Volume 1
Wonderful compactifications of Bruhat-Tits buildings

Auteurs : Remy, Bertrand and Thuillier, Amaury and Werner, Annette

Given a split semisimple group over a local field, we consider the maximal Satake-Berkovich compactification of the corresponding Euclidean building. We prove that it can be equivariantly identified with the compactification which we get by embedding the building in the Berkovich analytic space associated to the wonderful compactification of the group. The construction of this embedding map is achieved over a general non-archimedean complete ground field. The relationship between the structures at infinity, one coming from strata of the wonderful compactification and the other from Bruhat-Tits buildings, is also investigated.


Source : oai:arXiv.org:1702.03093
Volume : Volume 1
Publié le : 12 décembre 2017
Déposé le : 10 février 2017
Mots-clés : Mathematics - Group Theory,Mathematics - Algebraic Geometry


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