Abstract:In this paper, we introduce novel concepts and establish a formal framework for twisted differential operators in the context of several variables. The focus is on twisted coordinates within Huber rings, which facilitate the construction of diverse rings of twisted differential operators. We establish an equivalence between modules equipped with twisted connections and those endowed with actions of twisted derivatives. Furthermore, we examine the convergence properties of twisted differential operators under specific conditions. As one of the main results, we extend the confluence theorem of Le Stum and Quirós to several variables. This work aligns with the ongoing advancements in $p$-adic Hodge cohomology and prismatic cohomology.
From: Pierre Houédry [view email]
[v1]
Sat, 23 Sep 2023 06:32:02 UTC (15 KB)
[v2]
Fri, 11 Oct 2024 08:19:02 UTC (43 KB)
[v3]
Fri, 8 Nov 2024 09:22:30 UTC (43 KB)
[v4]
Tue, 16 Jun 2026 08:06:14 UTC (41 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。