Perfectoid Spaces in Multivariate $p$-adic Hodge Theory
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917381197004800 |
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| author | Pal, Aprameyo Pokhrel, Rohit |
| author_facet | Pal, Aprameyo Pokhrel, Rohit |
| contents | Perfectoid spaces have become a crucial tool in $p$-adic geometry, serving as a bridge between adic spaces in characteristic $0$ and those in characteristic $p$. In this article, we develop a systematic way to study the structure of perfectoid spaces within the setting of multivariate $p$-adic Hodge theory over a variant of the rings introduced in \cite{Bri}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18198 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perfectoid Spaces in Multivariate $p$-adic Hodge Theory Pal, Aprameyo Pokhrel, Rohit Number Theory 14G45, 14G17, 14G20, 12J25, 11S37 Perfectoid spaces have become a crucial tool in $p$-adic geometry, serving as a bridge between adic spaces in characteristic $0$ and those in characteristic $p$. In this article, we develop a systematic way to study the structure of perfectoid spaces within the setting of multivariate $p$-adic Hodge theory over a variant of the rings introduced in \cite{Bri}. |
| title | Perfectoid Spaces in Multivariate $p$-adic Hodge Theory |
| topic | Number Theory 14G45, 14G17, 14G20, 12J25, 11S37 |
| url | https://arxiv.org/abs/2508.18198 |