Global minimal models for endomorphisms of projective space
We prove the existence of global minimal models for endomorphisms of projective space defined over the field of fractions of a principal ideal domain.
A dynamical Shafarevich theorem for twists of rational morphisms
Let K denote a number field, S a finite set of places of K, and ϕ: ℙⁿ → ℙⁿ a rational morphism defined over K. The main result of this paper states that there are only finitely many twists of ϕ defined over K which have good reduction at all places outside S. This answers a question of Silverman in the affirmative.
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