Multiplicative reduction and the cyclotomic main conjecture for gl2

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)171-200
Number of pages30
JournalPacific Journal of Mathematics
Issue number1
StatePublished - 2016

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Iwasawa theory
  • Selmer groups
  • Special values of l-functions


Dive into the research topics of 'Multiplicative reduction and the cyclotomic main conjecture for gl2'. Together they form a unique fingerprint.

Cite this