Base change for coherent cohomology in Berkovich geometry

TL;DR

This paper establishes base change theorems for coherent cohomology within Berkovich spaces, extending classical scheme theory results to a non-Archimedean analytic setting.

Contribution

It proves flat and proper base change theorems for coherent cohomology in Berkovich geometry, adapting scheme theory results to this analytic context.

Findings

Flat base change theorem for Berkovich spaces

Proper base change theorems analogous to scheme theory

Extension of classical cohomology results to non-Archimedean geometry

Abstract

We prove some base change theorems for coherent cohomology in the setting of Berkovich spaces. In this setting, we get a flat base change theorem, and some proper base change theorems that are analogue to theorems from scheme theory.