3 papers
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.NT2023
Differentiability of Adelic Volumes and Equidistribution on Quasi-Projective Varieties
Debam Biswas
Differentiability of geometric and arithmetic volumes of Hermitian line-bundles leads to the proof of equidistribution results on projective varieties using the variational princip…