3 papers
math.NT2026
Equidistribution of small points over finitely generated fields
Ruoyi Guo, Lai Shang, Chengyuan Yang +1
We study the equidistribution of small points over finitely generated fields, in connection with a conjecture of Yuan--Zhang. We first give a counterexample showing that numerical…
math.AG2025
Nef cone and successive minima: an example
Ruoyi Guo, Xinyi Yuan
In this paper, we compute the nef cone and the pseudo-effective cone of for a smooth projective curve and its Jacobian variety such that has the min…
math.NT2023
An integration formula of Chern forms on quasi-projective varieties
Ruoyi Guo
In this paper, I generalize the formula that the integration of Chern forms of hermitian line bundles equals the algebraic intersection number of the underlying line bundles. I gen…