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arXiv · 1407.1093

Multiplicative reduction and the cyclotomic main conjecture for $\mathrm{GL}_2$

Christopher Skinner
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Abstract

We show that the cyclotomic Iwasawa--Greenberg Main Conjecture holds for a large class of modular forms with multiplicative reduction at $p$, extending previous results for the good ordinary case. In fact, the multiplicative case is deduced from the good case through the use of Hida families and a simple Fitting ideal argument.

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Christopher Skinner. 2014-07-04. Multiplicative reduction and the cyclotomic main conjecture for $\mathrm{GL}_2$. https://doi.org/10.2140/pjm.2016.283.171

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