Hecke algebras associated to $\Lambda$-adic modular forms
Number Theory
2013-02-27 v3
Abstract
We show that if an Eisenstein component of the -adic Hecke algebra associated to modular forms is Gorenstein, then it is necessary that the plus-part of a certain ideal class group is trivial. We also show that this condition is sufficient whenever a conjecture of Sharifi holds.
Cite
@article{arxiv.1202.3660,
title = {Hecke algebras associated to $\Lambda$-adic modular forms},
author = {Preston Wake},
journal= {arXiv preprint arXiv:1202.3660},
year = {2013}
}
Comments
13 pages