On the $\mu$ equals zero conjecture for the fine Selmer group in Iwasawa theory
Number Theory
2023-04-11 v3
Abstract
We study the Iwasawa theory of the fine Selmer group associated to certain Galois representations. The vanishing of the -invariant is shown to follow in some cases from a natural property satisfied by Galois deformation rings. We outline conditions under which the conjecture is shown to hold for various Galois representations of interest.
Cite
@article{arxiv.2202.09937,
title = {On the $\mu$ equals zero conjecture for the fine Selmer group in Iwasawa theory},
author = {Shaunak V. Deo and Anwesh Ray and R. Sujatha},
journal= {arXiv preprint arXiv:2202.09937},
year = {2023}
}
Comments
Version 3: Final version, accepted for publication in Pure and applied math quaterly