
arXiv: 2302.01208
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.
Mathematics - Algebraic Geometry, Mathematics - Number Theory, FOS: Mathematics, Rational points, Number Theory (math.NT), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Algebraic Geometry (math.AG), Arithmetic dynamics on general algebraic varieties, 37P55, 14G05
Mathematics - Algebraic Geometry, Mathematics - Number Theory, FOS: Mathematics, Rational points, Number Theory (math.NT), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Algebraic Geometry (math.AG), Arithmetic dynamics on general algebraic varieties, 37P55, 14G05
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