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arXiv · 2606.11706

Multivariate Period Rings

Rohit Pokhrel
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Abstract

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.

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Rohit Pokhrel. 2026-06-10. Multivariate Period Rings. https://arxiv.org/abs/2606.11706

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