Utilisation de l'aplatissement en g\'eom\'etrie de Berkovich

Abstract

In this article, we carry out the flattening techniques developped in a former work in order to ``embellish" a map between compact analytic spaces, to describe the structure of its image, getting this way a substitute for Chevalley's theorem in the non-archimedean setting, and finally to show that flatness in the world of Berkovich spaces amounts to naive flatness provided one works with local rings for the G-topology