Presqu’un immeuble pour le groupe des automorphismes modérés
نویسندگان
چکیده
Inspired by the Bruhat-Tits building of SL$_n$($\mathbb Q_p$), we construct a complete metric space X with an action tame automorphism group affine Tame($K^n$). The points in are certain monomial valuations, and admits natural structure Euclidean CW-complex dimension n-1. When n = 3, for K characteristic zero, prove that has non-positive curvature is simply connected, hence CAT(0) space. As application obtain linearizability finite subgroups Tame($K^3$).
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ژورنال
عنوان ژورنال: Annales Henri Lebesgue
سال: 2021
ISSN: ['2644-9463']
DOI: https://doi.org/10.5802/ahl.83