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arXiv · 1401.3764

Eisenstein Hecke algebras and conjectures in Iwasawa theory

Preston Wake
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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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Preston Wake. 2014-11-05. Eisenstein Hecke algebras and conjectures in Iwasawa theory. https://doi.org/10.2140/ant.2015.9.53

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