Potentially crystalline lifts of certain prescribed types

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Title: Potentially crystalline lifts of certain prescribed types
Authors: Gee, T
Herzig, F
Liu, T
Savitt, D
Item Type: Journal Article
Abstract: We prove several results concerning the existence of potentially crystalline lifts with prescribed Hodge-Tate weights and inertial types of a given n-dimensional mod p representation of the absolute Galois group of K, where K/Q_p is a finite extension. Some of these results are proved by purely local methods, and are expected to be useful in the application of automorphy lifting theorems. The proofs of the other results are global, making use of automorphy lifting theorems.
Issue Date: 1-May-2017
Date of Acceptance: 11-Jan-2017
URI: http://hdl.handle.net/10044/1/51235
ISSN: 1431-0635
Publisher: Universität Bielefeld
Start Page: 397
End Page: 422
Journal / Book Title: Documenta Mathematica
Volume: 22
Copyright Statement: © 2017 The Authors. Published by Universität Bielefeld.
Sponsor/Funder: Commission of the European Communities
The Leverhulme Trust
Commission of the European Communities
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: FP7-ERC-StG-2012-306326
LH.PZ.GEE.2012
FP7-PEOPLE-2011-CIG-303605
EP/L025485/1
Keywords: math.NT
11F80
0101 Pure Mathematics
General Mathematics
Notes: 22 pages; final version, to appear in Documenta
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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