Let $\phi $ be an endomorphism of the projective line defined over a global field $ K $. We
prove a bound for the cardinality of the set of $ K $–rational preperiodic points for $\phi $ in …

Let K be a number field, let S be a finite set of places of K, and let RS be the ring of S-
integers of K. A K-morphism f: ℙ K 1→ ℙ K 1 has simple good reduction outside S if it …

We prove a dynamical Shafarevich theorem on the finiteness of the set of isomorphism
classes of rational maps with fixed degeneracies. More precisely, fix an integer d at least 2 …

We study the minimal resultant divisor of self-maps of the projective line over a number field
or a function field and its relation to the conductor. The guiding focus is the exploration of a …

Let $ K $ be a number field and $ v $ a non archimedean valuation on $ K $. We say that an
endomorphism $\Phi\colon\mathbb {P} _1\to\mathbb {P} _1 $ has good reduction at $ v $ if …

This document lists a wide variety of articles and books in the area of arithmetic dynamics. It
also includes some additional material that was referenced in The Arithmetic of Dynamical …

This document lists a wide variety of articles and books in the area of arithmetic dynamics,
together with some miscellaneous articles and books in arithmetic geoemtry. It also includes …