Xiao Zhong

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math.NT2023

Preimages Question for Surjective Endomorphisms on $(P^{1})^{n}$

Xiao Zhong

Let $K$ be a number field and let $f : (P^{1})^{n} \to (P^{1})^{n}$ be a dominant endomorphism defined over $K$ . We show that if $V$ is an $f$ -invariant subvariety (that…

math.NT2023

Dynamical Cancellation of Polynomials

Xiao Zhong

Extending the work of Bell, Matsuzawa and Satriano, we consider a finite set of polynomials $S$ over a number field $K$ and give a necessary and sufficient condition for the existe…

Preimages Question for Surjective Endomorphisms on (P1)n

Dynamical Cancellation of Polynomials

Preimages Question for Surjective Endomorphisms on $(P^{1})^{n}$