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.
All Science Journal Classification (ASJC) codes
- Iwasawa theory
- Selmer groups
- Special values of l-functions