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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.AG2023
Convex Bodies associated to Linear series of Adelic Divisors on Quasi-Projective Varieties
Debam Biswas
In this article we define and study convex bodies associated to linear series of adelic divisors over quasi-projective varieties that have been introduced recently by Xinyi Yuan an…