Twisted differential operators in several variables
Abstract
We introduce new concepts in order to develop a general formalism for twisted differential operators in several variables. We investigate the notion of twisted coordinates on Huber rings that allows us to build various rings of twisted differential operators and compare them. We show that there exists an equivalence between modules endowed with a twisted connection and modules endowed with an action of the twisted derivatives. This work is in line with the recent developments in -adic Hodge cohomology and prismatic cohomology.
Cite
@article{arxiv.2303.07756,
title = {Twisted differential operators in several variables},
author = {Pierre Houédry},
journal= {arXiv preprint arXiv:2303.07756},
year = {2024}
}
Comments
The paper is being withdrawn because I have decided to merge two related articles for improved clarity and readability. It makes no sense to keep these two parts separate, as they are closely interconnected. The combined version will present the material in a more cohesive and streamlined manner for the benefit of the reader