Abelian varieties over fields of finite characteristic

TL;DR

This paper extends previous results on Galois actions on torsion points of abelian varieties to include finitely generated fields of characteristic 2, broadening the understanding of their arithmetic properties.

Contribution

It introduces new methods to analyze Galois actions on torsion points over fields of characteristic 2, filling a gap in existing research.

Findings

Extended Galois action results to characteristic 2 fields

Developed techniques for finitely generated fields of characteristic 2

Enhanced understanding of torsion points in abelian varieties

Abstract

The aim of this paper is to extend our old results about Galois action on the torsion points of abelian varieties to the case of (finitely generated) fields of characteristic 2.