4 papers
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…
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…
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…
Integral points on the modular curves
Yulin Cai
In this paper, we give an explicit bound for the height of integral points on by using a very explicit version of the Chevalley-Weil principle. We improve the bound given…