Twisted calculus on affinoid algebras
Algebraic Geometry
2020-02-12 v1
Abstract
We introduce the notion of a twisted differential operator of given radius relative to an endomorphism of an affinoid algebra A. We show that this notion is essentially independent of the choice of the endomorphism . As a particular case, we obtain an explicit equivalence between modules endowed with a usual integrable connection (i.e. differential systems) and modules endowed with a -connection of the same radius (i.e. q-difference systems). Moreover, this equivalence preserves cohomology and in particular solutions.
Cite
@article{arxiv.1712.03745,
title = {Twisted calculus on affinoid algebras},
author = {Bernard Le Stum and Adolfo Quirós},
journal= {arXiv preprint arXiv:1712.03745},
year = {2020}
}