论文标题

在$μ$上等于iwasawa理论中的精美Selmer组的零猜想

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

论文作者

Deo, Shaunak V., Ray, Anwesh, Sujatha, R.

论文摘要

我们研究了与某些Galois表示相关的优质Selmer群体的硫磺理论。在某些情况下,由于Galois变形环满足的自然财产,显示出$ $ $ invariant的消失。我们概述了$μ= 0 $猜想的条件,该条件显示为各种感兴趣的galois表示。

We study the Iwasawa theory of the fine Selmer group associated to certain Galois representations. 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 hold for various Galois representations of interest.

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