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arXiv · 2304.02415

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

Antoine Ducros
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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

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Antoine Ducros. 2023-04-05. Utilisation de l'aplatissement en g\'eom\'etrie de Berkovich. https://arxiv.org/abs/2304.02415

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