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

preprint2014arXivOpen access

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.

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

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