4 citations · 8 across the 9 of their papers we have counts for
9 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…
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…
Bound the difference of two singular moduli
Yulin Cai
For a fixed singular modulus , we give an effective lower bound of norm of for another singular modulus with large discriminant. We then generalize this result for $Φ_…
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…
An explicit bound for integral points on modular curves
Yulin Cai
In this paper, we give a constant in \cite[Theorem 1.2]{sha2014bounding} by using an explicit Baker's inequality, hence we have an explicit bound of the integral points on modu…
On harmonic numbers and nonlinear Euler sums
Ce Xu, Yulin Cai
In this paper we are interested in Euler-type sums with products of harmonic numbers, Stirling numbers and Bell numbers. We discuss the analytic representations of Euler sums throu…