Stratification and coordinate systems for the moduli space of rational functions

DOI10.1090/S1088-4173-10-00207-9zbMath1195.30008arXiv0908.0172MaRDI QIDQ3559545

Masahiko Taniguchi, Masayo Fujimura

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0172

zbMATH Keywords

moduli spacesRational maps

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

• Unnamed Item
• The moduli space of rational maps and surjectivity of multiplier representation
• Families of rational maps and iterative root-finding algorithms
• A compactification of the moduli space of polynomials
• Geometry and Dynamics of Quadratic Rational Maps
• Dynamics in One Complex Variable. (AM-160)

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