Vol. 304, No. 2, 2020

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 338: 1
Vol. 337: 1  2
Vol. 336: 1+2
Vol. 335: 1  2
Vol. 334: 1  2
Vol. 333: 1  2
Vol. 332: 1  2
Vol. 331: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
Twisted calculus on affinoid algebras

Bernard Le Stum and Adolfo Quirós

Vol. 304 (2020), No. 2, 523–560
Abstract

We introduce the notion of a twisted differential operator of given radius relative to an endomorphism σ of an affinoid algebra A. We show that this notion is essentially independent of the choice of the endomorphism σ. 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 σ-connection of the same radius (this concept generalizes both finite difference and q-difference systems). Moreover, this equivalence preserves cohomology and in particular solutions.

PDF Access Denied

We have not been able to recognize your IP address 216.73.216.89 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
arithmetic difference equations, twisted differential operators, twisted affinoid algebras, deformation, confluence, radius of convergence
Mathematical Subject Classification 2010
Primary: 12H10, 12H25, 14G22
Milestones
Received: 15 December 2017
Revised: 24 July 2019
Accepted: 2 October 2019
Published: 12 February 2020
Authors
Bernard Le Stum
Institut de Recherche Mathematique (IRMAR)
Universite de Rennes I
Campus de Beaulieu
Rennes
France
Adolfo Quirós
Departamento de Matemáticas
Universidad Autónoma de Madrid
Campus de Cantoblanco
Madrid
Spain