Vol. 16, No. 2, 2022

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 2, 267–539
Issue 1, 1–266

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
Formal groups and lifts of the field of norms

Léo Poyeton

Vol. 16 (2022), No. 2, 261–290

Let K be a finite extension of p. The field of norms of a strictly APF extension KK is a local field of characteristic p equipped with an action of Gal (KK). When can we lift this action to characteristic zero, along with a compatible Frobenius map? In this article, we explain what we mean by lifting the field of norms, explain its relevance to the theory of (φ,Γ)-modules, and show that under a certain assumption on the type of lift, such an extension is generated by the torsion points of a relative Lubin–Tate group and that the power series giving the lift of the action of the Galois group of KK are twists of semiconjugates of endomorphisms of the same relative Lubin–Tate group.

PDF Access Denied

We have not been able to recognize your IP address 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:

field of norms, $(\phi, \Gamma)$-modules, formal groups, Lubin–Tate, archimedean dynamical systems
Mathematical Subject Classification 2010
Primary: 11S82
Secondary: 11S15, 11S20, 11S31, 13F25
Received: 29 September 2019
Revised: 26 January 2021
Accepted: 17 June 2021
Published: 27 April 2022
Léo Poyeton
Peking University
Haidian District