Hecke algebras associated to Λ-adic modular forms

2012/02/16 by Preston Wake, Wake, Preston
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1202.3660

13 pages

arxiv created 2013/02/26 · arxiv updated 2013/02/27

Abstract

We show that if an Eisenstein component of the p-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.

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