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math.NT2020
Polynomial dynamics and local analysis of small and grand orbits
Harry Schmidt
We prove an analogue of the Manin-Mumford conjecture for polynomial dynamical systems over number fields. In our setting the role of torsion points is taken by the small orbit of a…
math.NT2020
A short note on Manin-Mumford
Harry Schmidt
We give a short proof of Manin-Mumford in the multiplicative group based on the pigeon-hole principle and the so-called structure theorem for anomalous subvarieties. The arguments…