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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.


Stratification and coordinate systems for the moduli space of rational functions
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by Masayo Fujimura and Masahiko Taniguchi
Conform. Geom. Dyn. 14 (2010), 141-153
Published electronically: May 5, 2010


In this note, we give a new simple system of global parameters on the moduli space of rational functions, and clarify the relation to the parameters indicating location of fixed points and the indices at them. As a byproduct, we solve a conjecture of Milnor affirmatively.
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Bibliographic Information
  • Masayo Fujimura
  • Affiliation: Department of Mathematics, National Defense Academy, Yokosuka 239-8686, Japan
  • Email:
  • Masahiko Taniguchi
  • Affiliation: Department of Mathematics, Nara Women’s University, Nara 630-8506, Japan
  • MR Author ID: 192108
  • Email:
  • Received by editor(s): August 17, 2009
  • Published electronically: May 5, 2010
  • Additional Notes: The second author is partially supported by Grant-in-Aid for Scientific Research (C) 19540181.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 14 (2010), 141-153
  • MSC (2010): Primary 30C15; Secondary 37F10
  • DOI:
  • MathSciNet review: 2644836