Eisenstein Hecke algebras and conjectures in Iwasawa theory
arXiv:1401.3764 · doi:10.2140/ant.2015.9.53
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.
arXiv comment22 pages