arXiv subjects

Rohit Pokhrel

Publications and source records attributed to Rohit Pokhrel.

2 recordsLinked to original sources

arXiv2026

Multivariate Period Rings

In this article, we present a new approach to studying multivariate period rings that is more consistent with classical theory and provides a clearer description of their structure. We also prove that the category of $B$-admissible representations forms a Tannakian subcategory of the category of representations of $G_{K,\Delta}$ by defining an analogue of $(F,G)$-regular rings, which is central to the classification of representations in multivariate $p$-adic Hodge theory.

math.NT↗

arXiv2025

Perfectoid Spaces in Multivariate $p$-adic Hodge Theory

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}.

math.NT↗