4 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
The push-forwards and pull-backs of -forms and applications to non-archimedean Arakelov geometry
Yulin Cai
We study two kinds of push-forwards of -forms and define the pull-backs of -forms. As a generalization of Gubler-Künnemann, we prove the projection formula and the tropical P…
Intersection theory on non-archimedean analytic spaces
Yulin Cai
We develop the intersection theory of non-archimedean analytic spaces and prove the projection formula and the GAGA principle. As an application, we naturally define the category o…