Preperiodic dynatomic curves for $z\mapsto z^d+c$

DOI10.4064/fm91-12-2015zbMath1375.37133OpenAlexW2227824124MaRDI QIDQ2787130

Yan Gao

Publication date: 24 February 2016

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm91-12-2015

zbMATH Keywords

Galois groupcomplex dynamicsirreducible componentmultibrot setdynatomic curves

Mathematics Subject Classification ID

Related Items (4)

Moduli spaces for dynamical systems with portraits ⋮ Dynamical modular curves for quadratic polynomial maps ⋮ Preperiodic portraits for unicritical polynomials ⋮ Gonality of dynatomic curves and strong uniform boundedness of preperiodic points

Cites Work

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

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