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Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Böttcher coordinates at superattracting fixed points of holomorphic skew products
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by Kohei Ueno
Conform. Geom. Dyn. 20 (2016), 43-57
Published electronically: March 18, 2016


Let $f : (\mathbb {C}^2, 0) \to (\mathbb {C}^2, 0)$ be a germ of holomorphic skew product with a superattracting fixed point at the origin. If it has a suitable weight, then we can construct a Böttcher coordinate which conjugates $f$ to the associated monomial map. This Böttcher coordinate is defined on an invariant open set whose interior or boundary contains the origin.
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Bibliographic Information
  • Kohei Ueno
  • Affiliation: Daido University, Nagoya 457-8530, Japan
  • MR Author ID: 818455
  • Email:
  • Received by editor(s): April 18, 2015
  • Received by editor(s) in revised form: December 31, 2015, and January 14, 2016
  • Published electronically: March 18, 2016
  • © Copyright 2016 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 20 (2016), 43-57
  • MSC (2010): Primary 32H50
  • DOI:
  • MathSciNet review: 3475294