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 P1(k) for k an algebraically closed field of positive characteristic.
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