On characteristic ideal of Selmer group associated to Artin representations
Number Theory
2022-02-07 v1
Abstract
Selmer group for an Artin representation over totally real fields was studied by Greenberg and Vatsal. In this paper we study the Selmer groups for an Artin representation over a totally complex field. We establish an algebraic function of the characteristic ideal of the Selmer group associated to Artin representation over the cyclotomic - extension of the rational numbers under certain mild hypotheses and construct several examples to illustrate our result. We also prove that in this situation -invariant of the dual Selmer group is independent of the choice of the lattice.
Keywords
Cite
@article{arxiv.2202.02134,
title = {On characteristic ideal of Selmer group associated to Artin representations},
author = {Dipramit Majumdar and Subhasis Panda},
journal= {arXiv preprint arXiv:2202.02134},
year = {2022}
}