Hilbert irreducibility for varieties with a nef tangent bundle

TL;DR

This paper investigates the properties of varieties with nef tangent bundles, establishing a fibration property related to Hilbert-type properties and exploring implications for rational points.

Contribution

It introduces a new fibration property for varieties with Hilbert-type properties and applies it to varieties with nef tangent bundles.

Findings

Established a fibration property for such varieties

Applied results to rational points on nef tangent bundle varieties

Provided new insights into the structure of these varieties

Abstract

We prove a fibration property for varieties with Hilbert-type properties and give applications to rational points on varieties with nef tangent bundle.