Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry

Xinyi Yuan

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arXiv · 2606.27116

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry

Xinyi Yuan

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Abstract

This article is an expository account of the basics of adelic line bundles on quasi-projective varieties, arithmetic positivity of adelic line bundles, and applications of positivity to an equidistribution theorem and the uniform Bogomolov conjecture.

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Xinyi Yuan. 2026-06-25. Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry. https://arxiv.org/abs/2606.27116

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