On the torsion in the cohomology of the integral structure sheaf of affinoid adic spaces

Emiliano Torti

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arXiv · 2504.12468

On the torsion in the cohomology of the integral structure sheaf of affinoid adic spaces

Emiliano Torti

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Abstract

We prove that the cohomology of the integral structure sheaf of a normal affinoid adic space over a non-archimedean field of characteristic zero is uniformly torsion. This result originated from a remark of Bartenwerfer around the 1980s and it partially answers a recent question of Hansen and Kedlaya (see also Problems 27 and 39 in the Non-Archimedean Scottish Book).

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Emiliano Torti. 2025-04-16. On the torsion in the cohomology of the integral structure sheaf of affinoid adic spaces. https://arxiv.org/abs/2504.12468

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