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

@article{Bridy2013TheAZ,
  title={The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic},
  author={Andrew Bridy},
  journal={arXiv: Number Theory},
  year={2013}
}
  • Andrew Bridy
  • Published 21 June 2013
  • Mathematics
  • arXiv: Number Theory
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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