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Tower of coverings and polylog-size coverings of rational points

Kenneth Chung Tak Chiu

Source record

Source: arXiv

Published: Oct 5, 2026

arXiv: 2610.06166

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Source 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.

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Tower of coverings and polylog-size coverings of rational points — Mathematical Frontier Network