Akashi series, characteristic elements and congruence of Galois representations
Number Theory
2016-03-30 v4
Abstract
In this paper, we compare the Akashi series of the Pontryagin dual of the Selmer groups of two Galois representations over a strongly admissible p-adic Lie extension. Namely, we show that whenever the two Galois representations in question are congruent to each other, the Akashi series of one is a unit if and only if the Akashi series of the other is also a unit. We will also obtain similar results for the Euler characteristics of the Selmer groups and the characteristic elements attached to the Selmer groups.
Keywords
Cite
@article{arxiv.1502.03166,
title = {Akashi series, characteristic elements and congruence of Galois representations},
author = {Meng Fai Lim},
journal= {arXiv preprint arXiv:1502.03166},
year = {2016}
}
Comments
19 pages. Final version