Counting rational points and lower bounds for Galois orbits

TL;DR

This paper introduces a novel method to establish polynomial lower bounds for Galois orbits of torsion points on one-dimensional group varieties, advancing understanding in arithmetic geometry.

Contribution

It presents a new technique for deriving polynomial lower bounds for Galois orbits of torsion points, a significant step in arithmetic geometry research.

Findings

Established polynomial lower bounds for Galois orbits

Applied the method to torsion points on one-dimensional group varieties

Enhanced understanding of Galois orbit sizes in arithmetic geometry

Abstract

In this article we present a new method to obtain polynomial lower bounds for Galois orbits of torsion points of one dimensional group varieties.