The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic
classification
🧮 math.NT
keywords
affinedynamicallyartin-mazurcharacteristicfunctionpositivezetaalgebraic
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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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