Work

Tower of coverings and polylog-size coverings of rational points

Year: 2026

Type: preprint

Abstract: We prove that a smooth irreducible proper variety over a number field admits polylogarithmic-size coverings of rational points of bounded height if it admits a tower of finite étale coverings satisfying several conditions. One of the conditions is a height comparison on twists of the finite étale covers. We prove that these conditions hold for abelian varieties.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.06166

Author: Chiu, Kenneth Chung Tak

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220704716

Cites: 5

Cited by:

Related to: 10