Pseudo-modularity and Iwasawa theory
Number Theory
2018-07-16 v3
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 result.
Keywords
Cite
@article{arxiv.1505.05128,
title = {Pseudo-modularity and Iwasawa theory},
author = {Preston Wake and Carl Wang-Erickson},
journal= {arXiv preprint arXiv:1505.05128},
year = {2018}
}
Comments
Changes to section 5.9; typos corrected. To appear in Amer. J. Math. 54 pages