Deformation conditions for pseudorepresentations
File(s)
Published version
Author(s)
Wake, Preston
Wang-Erickson, Carl
Type
Journal Article
Abstract
Given a property of representations satisfying a basic stability condition,
Ramakrishna developed a variant of Mazur's Galois deformation theory for
representations with that property. We introduce an axiomatic definition of
pseudorepresentations with such a property. Among other things, we show that
pseudorepresentations with a property enjoy a good deformation theory,
generalizing Ramakrishna's theory to pseudorepresentations.
Ramakrishna developed a variant of Mazur's Galois deformation theory for
representations with that property. We introduce an axiomatic definition of
pseudorepresentations with such a property. Among other things, we show that
pseudorepresentations with a property enjoy a good deformation theory,
generalizing Ramakrishna's theory to pseudorepresentations.
Date Issued
2019-07-18
Date Acceptance
2019-06-17
Citation
Forum of Mathematics, Sigma, 7
ISSN
2050-5094
Publisher
Cambridge University Press (CUP)
Journal / Book Title
Forum of Mathematics, Sigma
Volume
7
Copyright Statement
© The Author(s) 2019. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence
(http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the
original work is properly cited.
(http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the
original work is properly cited.
License URL
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Identifier
http://arxiv.org/abs/1707.01896v2
Grant Number
EP/L025485/1
Subjects
math.NT
math.NT
Notes
33 pages; v2: improvements to exposition, minor corrections
Publication Status
Published online
Article Number
e20
Date Publish Online
2019-07-18