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

2013/06/21 by Andrew Bridy, Bridy, Andrew
Mathematics · #11B85 (Secondary) #37P05 (Primary) 11G20 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.NT #msc:11B85 #msc:11G20 #msc:37P05

paper · pdf · doi:10.48550/arxiv.1306.5267

22 pages

openalex publication_date 2013/06/21 · arxiv created 2014/02/24 · arxiv updated 2014/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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