Junyi Xie

activity

20242026

collaborators

3 papers

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…

math.DS2025

Cyclotomic integral points for affine dynamics

Zhuchao Ji, Junyi Xie, Geng-Rui Zhang

Let $f : A^{N} \to A^{N}$ be a regular endomorphism of algebraic degree $d \geq 2$ (i.e., $f$ extends to an endomorphism on $P^{N}$ of algebraic degree $d$ ) defined…

math.AG2024

Numerical spectrums control Cohomological spectrums

Junyi Xie

Let $X$ be a smooth irreducible projective variety over a field $k$ of dimension $d .$ Let $τ : Q_{l} \to C$ be any field embedding. Let $f : X \to X$ be a surj…

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

Cyclotomic integral points for affine dynamics

Numerical spectrums control Cohomological spectrums

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