Isotriviality is equivalent to potential good reduction for endomorphisms of ${\mathbb{P}}^N$ over function fields

Clayton Petsche, Lucien Szpiro, Michael Tepper

Let $K=k(C)$ be the function field of a complete nonsingular curve $C$ over an arbitrary field $k$. The main result of this paper states that a morphism $ϕ:{\mathbb P}^N_K\to{\math…