Pseudo-modularity and Iwasawa theory
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Accepted version
Supporting information
Author(s)
Wake, Preston
Wang-Erickson, Carl
Type
Journal Article
Abstract
We prove, assuming Greenberg's conjecture, that the ordinary eigencurve is
Gorenstein at an intersection point between the Eisenstein family and the
cuspidal locus. As a corollary, we obtain new results on Sharifi's conjecture.
This result is achieved by constructing a universal ordinary pseudodeformation
ring and proving an $R = \mathbb T$ result.
Gorenstein at an intersection point between the Eisenstein family and the
cuspidal locus. As a corollary, we obtain new results on Sharifi's conjecture.
This result is achieved by constructing a universal ordinary pseudodeformation
ring and proving an $R = \mathbb T$ result.
Date Issued
2018-08-01
Date Acceptance
2017-08-15
Citation
American Journal of Mathematics, 2018, 140 (4), pp.977-1040
ISSN
0002-9327
Publisher
Johns Hopkins University Press
Start Page
977
End Page
1040
Journal / Book Title
American Journal of Mathematics
Volume
140
Issue
4
Copyright Statement
Copyright © 2018 Johns Hopkins University Press. This article first appeared in AMERICAN JOURNAL OF MATHEMATICS, Volume 140, Issue 4, August, 2018, pages 977-1040.
Identifier
http://arxiv.org/abs/1505.05128v3
Subjects
math.NT
math.NT
11F33, 11F80, 11R23
Publication Status
Published
Date Publish Online
2018-07-18