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math.NT2026
Exceptional maps and abelian points in backward orbits
Zhuchao Ji, Jiarui Song, Junyi Xie
Consider a number field , a polarized endomorphism on a normal projective variety, and a non-exceptional point for . We show that the extension $K(f^{-\infty}(…
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…