Eisenstein Hecke algebras and conjectures in Iwasawa theory
classification
🧮 math.NT
keywords
weakconjectureeisensteinformgorensteinheckepropertyalgebra
read the original 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.
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