Dynamical cancellation of polynomials

Abstract

AbstractExtending the work of Bell, Matsuzawa and Satriano, we consider a finite set of polynomials over a number field and give a necessary and sufficient condition for the existence of an and a finite set such that for any , we have the cancellation result: If and are maps in such that , then in fact . Moreover, the conditions we give for this cancellation result to hold can be checked by a finite number of computations from the given set of polynomials.