Multiplicative reduction and the cyclotomic main conjecture for $\mathrm{GL}_2$
Number Theory
2016-06-22 v1
Abstract
We show that the cyclotomic Iwasawa--Greenberg Main Conjecture holds for a large class of modular forms with multiplicative reduction at , 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.
Cite
@article{arxiv.1407.1093,
title = {Multiplicative reduction and the cyclotomic main conjecture for $\mathrm{GL}_2$},
author = {Christopher Skinner},
journal= {arXiv preprint arXiv:1407.1093},
year = {2016}
}