Brian Stout

activity

20122014

most citedEndomorphisms of Bounded Height and Resultant

1 citations · 1 across the 1 of their papers we have counts for

collaborators

5 papers

math.DS2014

Automorphism loci for the moduli space of rational maps

Nikita Miasnikov, Brian Stout, Phillip Williams

Let $k$ be an algebraically closed field of characteristic $0$ and $M_{d}$ the moduli space of rational maps on $P^{1}$ of degree $d$ over $k$ . This paper describes…

math.NT2013★ 1 cited

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 $K$ denote a number field and a finite set $S$ of places of $K$ and $ϕ:\PP^n\rightarrow\PP^n$ be rational morphism defined over $K$ . 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 $ϕ : P^{N} \to P^{N}$ of projective space defined over the field of fractions of a princi…

math.NT2012

On quadratic rational maps with prescribed good reduction

Clayton Petsche, Brian Stout

Given a number field $K$ and a finite set $S$ of places of $K$ , the first main result of this paper shows that the quadratic rational maps $ϕ : P^{1} \to P^{1}$ defined…