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arXiv · 2608.23239

Equidistribution for quasi-projective varieties over function fields

Debam Biswas·Yulin Cai
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Abstract

We prove equidistribution of small points and subvarieties on quasi-projective varieties over function fields, confirming \cite[Conjecture~5.4.1]{yuan2021adelic} for compactified relatively nef metrized line bundles in the function field case. The argument relies on the generic curves to reduce higher-dimensional bases to curves. We also establish the equidistribution theorem for arithmetically big line bundles using positive intersection.

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Debam Biswas, Yulin Cai. 2026-08-24. Equidistribution for quasi-projective varieties over function fields. https://arxiv.org/abs/2608.23239

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