Pseudo-modularity and Iwasawa theory

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Title: Pseudo-modularity and Iwasawa theory
Authors: Wake, P
Wang-Erickson, C
Item 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.
Issue Date: 1-Aug-2018
Date of Acceptance: 15-Aug-2017
URI: http://hdl.handle.net/10044/1/60825
ISSN: 0002-9327
Publisher: Johns Hopkins University Press
Journal / Book Title: American Journal of Mathematics
Copyright Statement: This paper is embargoed until publication.
Keywords: math.NT
math.NT
11F33, 11F80, 11R23
math.NT
math.NT
11F33, 11F80, 11R23
0101 Pure Mathematics
General Mathematics
Notes: Changes to section 5.9; typos corrected. To appear in Amer. J. Math. 54 pages
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences



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