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math.NT2026
The Beilinson--Bloch heights of generalized Ceresa cycles
Kaiyuan Gu
We compute the Beilinson--Bloch height of the generalized Ceresa cycle for any cycle of pure dimension on an abelian variety , in t…
math.NT2026
Uniformity in rational torsion and small points on abelian varieties
Ziyang Gao, Kaiyuan Gu
In this paper, we propose a method to study the {\it Uniform Boundedness Conjecture} and the {\it Lang-Silverman Conjecture} for abelian varieties defined over a global field $…