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

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).

Publication Details

Journal
ArXiv.org
Published
2025-04-16
Primary Topic
advanced mathematical theories
Type
article
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article

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

ArXiv.org
advanced mathematical theories
article

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

article en

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).

ArXiv.org
Openalex Percentile: Top 46%
advanced mathematical theories
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On the torsion in the cohomology of the integral structure sheaf of affinoid adic spaces · ArXiv.org (2025) | TGRS Research Map | TGRS