Junyi Xie

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20232026

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math.NT2026

Exceptional maps and abelian points in backward orbits

Zhuchao Ji, Jiarui Song, Junyi Xie

Consider a number field $K$ , a polarized endomorphism $f : X \to X$ on a normal projective variety, and a non-exceptional point $α$ for $f$ . We show that the extension $K(f^{-\infty}(…

math.NT2026

Faltings' Isogeny Theorem via Equidistribution

Junyi Xie, Ziquan Yang

We give a new proof of Faltings' isogeny theorem. More precisely, we show that Yuan's non-archimedean equidistribution theorem can be used to "pump" homomorphisms and semisimplicit…

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…

Exceptional maps and abelian points in backward orbits

Faltings' Isogeny Theorem via Equidistribution

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

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