Tame proper base change for discretely ringed adic spaces
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909539778953216 |
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| author | Hübner, Katharina |
| author_facet | Hübner, Katharina |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13312 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tame proper base change for discretely ringed adic spaces Hübner, Katharina Algebraic Geometry 14G22 (Primary) 11G25, 14G20 (Secondary) 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. |
| title | Tame proper base change for discretely ringed adic spaces |
| topic | Algebraic Geometry 14G22 (Primary) 11G25, 14G20 (Secondary) |
| url | https://arxiv.org/abs/2503.13312 |