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math.NT2020
On the frequency of height values
Gabriel Andreas Dill
We count algebraic numbers of fixed degree and fixed (absolute multiplicative Weil) height with precisely conjugates that lie inside the open unit disk. We al…
math.NT2020
Torsion points on isogenous abelian varieties
Gabriel Andreas Dill
Investigating a conjecture of Zannier, we study irreducible subvarieties of abelian schemes that dominate the base and contain a Zariski dense set of torsion points that lie on pai…