Bottcher Coordinates

DOI10.1512/iumj.2012.61.4981zbMath1288.37012arXiv1104.2981OpenAlexW2110467235MaRDI QIDQ2866929

Sarah Koch, Xavier Buff, Adam Lawrence Epstein

Publication date: 10 December 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2981

zbMATH Keywords

liftable vector fieldsBöttcher coordinates in several variablespostcritically finite endomorphisms

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Germs of analytic sets, local parametrization (32B10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Plurisubharmonic functions and generalizations (32U05) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (10)

On the Pullback Relation on Curves Induced by a Thurston Map ⋮ Teichmüller theory and critically finite endomorphisms ⋮ A construction of Böttcher coordinates for holomorphic skew products ⋮ Tropical Hopf manifolds and contracting germs ⋮ Local dynamics of non-invertible maps near normal surface singularities ⋮ Integrality properties of Böttcher coordinates for one-dimensional superattracting germs ⋮ Böttcher coordinates at superattracting fixed points of holomorphic skew products ⋮ Relation of the Böttcher equation with the parametrized Poisson integral ⋮ Böttcher coordinates for polynomial skew products ⋮ Böttcher coordinates at fixed indeterminacy points

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