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Endomorphisms of Bounded Height and Resultant
Brian Stout, Adam Towsley
Let K be an algebraic number field. For a degree d rational morphism of projective n-space defined over K let R denote its minimal resultant ideal. For a fixed height function on t…
math.NT2013
A dynamical Shafarevich theorem for twists of rational morphisms
Brian Stout
Let denote a number field and a finite set of places of and $ϕ:\PP^n\rightarrow\PP^n$ be rational morphism defined over . The main result of this paper proves that t…
math.NT2013
Global minimal models for endomorphisms of projective space
Clayton Petsche, Brian Stout
We prove the existence of global minimal models for rational morphisms of projective space defined over the field of fractions of a princi…