An unconditional main conjecture in Iwasawa theory and applications

Rusiru Gambheera, Cristian D. Popescu

We improve upon the recent keystone result of Dasgupta-Kakde on the $\mathbb{Z}[G(H/F){]}^{-}$-Fitting ideals of certain Selmer modules $Se{l}_S^T(H{)}^{-}$ associated to an abelian, CM extensio…