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arXiv · 1110.1362

Bruhat-Tits buildings and analytic geometry

Bertrand Remy·Amaury Thuillier·Annette Werner
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Abstract

This paper provides an overview of the theory of Bruhat-Tits buildings. Besides, we explain how Bruhat-Tits buildings can be realized inside Berkovich spaces. In this way, Berkovich analytic geometry canbe used to compactify buildings. We discuss in detail the example of the special linear group. Moreover, we give an intrinsic description of Bruhat-Tits buildings in the framework of non-Archimedean analytic geometry.

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Bertrand Remy, Amaury Thuillier, Annette Werner. 2015-03-24. Bruhat-Tits buildings and analytic geometry. https://arxiv.org/abs/1110.1362

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