Eisenstein Hecke algebras and conjectures in Iwasawa theory
Number Theory
2016-01-20 v2
Abstract
We formulate a weak Gorenstein property for the Eisenstein component of the p-adic Hecke algebra associated to modular forms. We show that this weak Gorenstein property holds if and only if a weak form of Sharifi's conjecture and a weak form of Greenberg's conjecture hold.
Keywords
Cite
@article{arxiv.1401.3764,
title = {Eisenstein Hecke algebras and conjectures in Iwasawa theory},
author = {Preston Wake},
journal= {arXiv preprint arXiv:1401.3764},
year = {2016}
}
Comments
22 pages