Ramification in iterated towers for rational functions

DOI10.1007/s00229-011-0460-yzbMath1235.14023OpenAlexW2082435725MaRDI QIDQ663315

Farshid Hajir, John Cullinan

Publication date: 14 February 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-011-0460-y

Mathematics Subject Classification ID

Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (9)

A family of monogenic \(S_4\) quartic fields arising from elliptic curves ⋮ Iterates of generic polynomials and generic rational functions ⋮ Dynamical Belyi maps and arboreal Galois groups ⋮ Iterated towers of number fields by a quadratic map defined over the Gaussian rationals ⋮ Finite index theorems for iterated Galois groups of unicritical polynomials ⋮ On 2-adic Lie iterated extensions of number fields arising from a Joukowski map ⋮ Discriminants of simplest \(3^n\)-tic extensions ⋮ SPECIALIZATIONS OF GENERALIZED RIKUNA POLYNOMIALS ⋮ On iterated extensions of number fields arising from quadratic polynomial maps

Cites Work

• Ramified primes in the field of moduli of branched coverings of curves
• On extensions of number fields obtained by specializing branched coverings.
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