3 papers
math.NT2026
A geometric approach to the uniform boundedness of -primary torsion points
Zhuchao Ji, Jiarui Song, Junyi Xie
We prove that for a non-isotrivial abelian scheme over a smooth curve, the genus of a generic sequence of multi-sections with small heights tends to infinity. As an application, we…
math.NT2025
Arithmetic degrees of dynamical systems over fields of characteristic zero
Wenbin Luo, Jiarui Song
In this article, we generalize the arithmetic degree and its related theory to dynamical systems defined over an arbitrary field of characteristic . We first consid…
math.DS2025
Arithmetic Degrees are Cohomological Lyapunov Multipliers
Jiarui Song, Junyi Xie, She Yang
For endomorphisms of projective varieties, we prove that the arithmetic degree of a point with Zariski dense orbit must be a cohomological Lyapunov multiplier of the dynamical syst…