On the Iwasawa invariants of Artin representations

TL;DR

This paper investigates Iwasawa invariants linked to Selmer groups of Artin representations, providing criteria for their vanishing and exploring implications for distribution questions in number theory.

Contribution

It introduces new criteria for the vanishing of algebraic Iwasawa invariants associated with Artin representations' Selmer groups.

Findings

Criteria for vanishing of Iwasawa invariants

Insights into distribution of invariants in number theory

Connections between Selmer groups and Iwasawa theory

Abstract

We study Iwasawa invariants associated to Selmer groups of Artin representations, and criteria for the vanishing of the associated algebraic Iwasawa invariants. The conditions obtained can be used to study natural distribution questions in this context.