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arXiv · 2101.05485

A new axiomatics for masures II

Auguste Hebert
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Abstract

Masures are generalizations of Bruhat-Tits buildings. They were introduced by Gaussent and Rousseau in order to study Kac-Moody groups over valued fields. We prove that the intersection of two apartments of a masure is convex. Using this, we simplify the axiomatic definition of masures given by Rousseau.

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Auguste Hebert. 2021-01-14. A new axiomatics for masures II. https://doi.org/10.1515/advgeom-2022-0013

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