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Pseudo-modularity and Iwasawa theory
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 140, Number 4, August 2018
- pp. 977-1040
- 10.1353/ajm.2018.0022
- Article
- Additional Information
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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 $R={\Bbb T}$ result.