The dynatomic periodic curves for polynomial \(z\mapsto z^d+c\) are smooth and irreducible

DOI10.1007/S11425-014-4807-1zbMath1336.37040OpenAlexW2188385569MaRDI QIDQ477063

Yafei Ou, Yan Gao

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4807-1

zbMATH Keywords

irreducibledynatomic curveMultibrot set

Mathematics Subject Classification ID

Plane and space curves (14H50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (6)

A Galois-dynamics correspondence for unicritical polynomials ⋮ Moduli spaces for dynamical systems with portraits ⋮ Preperiodic portraits for unicritical polynomials over a rational function field ⋮ Preperiodic dynatomic curves for $z\mapsto z^d+c$ ⋮ Preperiodic portraits for unicritical polynomials ⋮ Reduction of dynatomic curves

Cites Work

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• The equation \(a_ M=b^ Nc^ P\) in a free group
• On explicit connections between dynamical and parameter spaces

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