Average Zsigmondy sets, dynamical Galois groups, and the Kodaira-Spencer map

DOI10.1090/tran/7125zbMath1394.37130arXiv1603.04459OpenAlexW2963722513MaRDI QIDQ4567890

Wade Hindes

Publication date: 20 June 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04459

zbMATH Keywords

rational points on curvesGalois theoryarithmetic dynamics

Mathematics Subject Classification ID

Galois theory (11R32) Rational points (14G05) Recurrences (11B37) Dynamical systems over global ground fields (37P15)

Related Items

Stochastic canonical heights ⋮ The arithmetic basilica: a quadratic PCF arboreal Galois group ⋮ Galois groups and prime divisors in random quadratic sequences ⋮ Diophantine approximation and primitive prime divisors in random iterations ⋮ Cyclotomic and abelian points in backward orbits of rational functions ⋮ The 𝐴𝐵𝐶-Conjecture implies uniform bounds on dynamical Zsigmondy sets ⋮ An equivariant isomorphism theorem for mod $\mathfrak {p}$ reductions of arboreal Galois representations ⋮ Dynamical height growth: left, right, and total orbits ⋮ Riccati equations and polynomial dynamics over function fields ⋮ Primitive prime divisors in backward orbits

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