Yulin Cai

activity

20192026

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math.AG2026

Equidistribution for quasi-projective varieties over function fields

Debam Biswas, Yulin Cai

We prove equidistribution of small points and subvarieties on quasi-projective varieties over function fields, confirming \cite[Conjecture~5.4.1]{yuan2021adelic} for compactified r…

math.AG2025

Concave transforms of compactified S-metrized divisors

Debam Biswas, Yulin Cai

We associate a concave transform to any compactified S-metrized divisor on a quasi-projective variety over an adelic curve. Then we show a Hilbert-Samuel type formula for relativel…

math.AG2024

Abstract divisorial spaces and arithmetic intersection numbers

Yulin Cai, Walter Gubler

Yuan and Zhang introduced arithmetic intersection numbers for adelic line bundles on quasi-projective varieties over a number field. Burgos and Kramer generalized this approach all…

math.AG2023

The push-forwards and pull-backs of $δ$ -forms and applications to non-archimedean Arakelov geometry

Yulin Cai

We study two kinds of push-forwards of $δ$ -forms and define the pull-backs of $δ$ -forms. As a generalization of Gubler-Künnemann, we prove the projection formula and the tropical P…

Equidistribution for quasi-projective varieties over function fields

Concave transforms of compactified S-metrized divisors

Abstract divisorial spaces and arithmetic intersection numbers

The push-forwards and pull-backs of δ-forms and applications to non-archimedean Arakelov geometry

The push-forwards and pull-backs of $δ$ -forms and applications to non-archimedean Arakelov geometry