2 papers
math.AG2026
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.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…