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

Number Theory 2014-02-26 v2

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)\mathbb{P}^1(k) for kk an algebraically closed field of positive characteristic.

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Cite

@article{arxiv.1306.5267,
  title  = {The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic},
  author = {Andrew Bridy},
  journal= {arXiv preprint arXiv:1306.5267},
  year   = {2014}
}

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22 pages