Junyi Xie

works on

arithmetic dynamics 1 bifurcation theory 1 dynatomic curves 1 gonality 1 uniform boundedness 1

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math.NT2026

A geometric approach to the uniform boundedness of $ℓ$ -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…

A geometric approach to the uniform boundedness of ℓ-primary torsion points

A geometric approach to the uniform boundedness of $ℓ$ -primary torsion points