The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic

Abstract

A dynamically affine map is a finite quotient of an affine morphism of an algebraic group. We determine the rationality or transcendence of the Artin-Mazur zeta function of a dynamically affine self-map of ${\mathbb{P}}^1(k)$ for $k$ an algebraically closed field of positive characteristic.

arXiv comment22 pages