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On the $\mu$ equals zero conjecture for fine Selmer groups in Iwasawa theory
We study the Iwasawa theory of the fine Selmer group associated to Galois representations arising from modular forms.The vanishing of the µ-invariant is shown to follow in some cases from a natural property satisfied by Galois deformation rings.We outline conditions under which the µ = 0 conjecture is shown to …