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arXiv · 2508.18198

Perfectoid Spaces in Multivariate $p$-adic Hodge Theory

Aprameyo Pal·Rohit Pokhrel
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Abstract

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}.

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Aprameyo Pal, Rohit Pokhrel. 2025-08-25. Perfectoid Spaces in Multivariate $p$-adic Hodge Theory. https://arxiv.org/abs/2508.18198

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