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arXiv · 2202.09937

On the $\mu$ equals zero conjecture for the fine Selmer group in Iwasawa theory

Shaunak V. Deo·Anwesh Ray·R. Sujatha
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Abstract

We study the Iwasawa theory of the fine Selmer group associated to certain Galois representations. The vanishing of the $\mu$-invariant is shown to follow in some cases from a natural property satisfied by Galois deformation rings. We outline conditions under which the $\mu=0$ conjecture is shown to hold for various Galois representations of interest.

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Shaunak V. Deo, Anwesh Ray, R. Sujatha. 2022-02-21. On the $\mu$ equals zero conjecture for the fine Selmer group in Iwasawa theory. https://doi.org/10.4310/pamq.2023.v19.n2.a8

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