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arXiv · 2503.13312

Tame proper base change for discretely ringed adic spaces

Katharina Hübner
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Abstract

We consider a proper morphism $X \to S$ and a locally closed immersion $S' \to S$ of discretely ringed adic spaces and prove proper base change for the tame topology in this setting. More precisely, we show that for an abelian $p$-torsion sheaf ($p = char^+(S)$) on the tame site of $X$ that the base change homomorphism for the derived pushforward along $X \to S$ with the pullback along $S' \to S$ is an isomorphism.

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Katharina Hübner. 2025-03-17. Tame proper base change for discretely ringed adic spaces. https://arxiv.org/abs/2503.13312

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