2022arXiv (Cornell University)Open access

Base change for coherent cohomology in Berkovich geometry

Mathieu Daylies

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Base change, Base (topology), Mathematics, Scheme (mathematics), Local cohomology, Geometry, Algebra over a field, Pure mathematics

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