Vol. 15, No. 4, 2021

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

Volume 19, 1 issue

Volume 18, 12 issues

Volume 17, 12 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1944-7833 (online)
ISSN 1937-0652 (print)
 
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
Integral $p$-adic Hodge theory of formal schemes in low ramification

Yu Min

Vol. 15 (2021), No. 4, 1043–1076
Abstract

We prove that for any proper smooth formal scheme 𝔛 over 𝒪K, where 𝒪K is the ring of integers in a complete discretely valued nonarchimedean extension K of p with perfect residue field k and ramification degree e, the i-th Breuil–Kisin cohomology group and its Hodge–Tate specialization admit nice decompositions when ie < p 1. Thanks to the comparison theorems in the recent works of Bhatt, Morrow and Scholze (2018, 2019), we can then get an integral comparison theorem for formal schemes when the cohomological degree i satisfies ie < p 1, which generalizes the case of schemes under the condition (i + 1)e < p 1 proven by Fontaine and Messing (1987) and Caruso (2008).

PDF Access Denied

We have not been able to recognize your IP address 18.97.9.170 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
integral $p$-adic Hodge theory, prismatic cohomology
Mathematical Subject Classification
Primary: 14F30
Milestones
Received: 11 April 2020
Revised: 16 September 2020
Accepted: 17 October 2020
Published: 29 May 2021
Authors
Yu Min
Institut de Mathématiques de Jussieu-Paris Rive Gauche
Campus Pierre et Marie Curie (Jussieu)
Paris
France