%0 Journal Article
%T A dynamical Shafarevich theorem for twists of rational morphisms
%A Brian Stout
%J Mathematics
%D 2013
%I arXiv
%X Let $K$ denote a number field and a finite set $S$ of places of $K$ and $\phi:\PP^n\rightarrow\PP^n$ be rational morphism defined over $K$. The main result of this paper proves that there are only finitely many twists of $\phi$ defined over $K$ which have good reduction at all places outside $S$. This answers a question of Silverman in the affirmative.
%U http://arxiv.org/abs/1308.4992v2