Skip to Main Content

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.


Pluripotential theory on Teichmüller space I: Pluricomplex Green function
HTML articles powered by AMS MathViewer

by Hideki Miyachi
Conform. Geom. Dyn. 23 (2019), 221-250
Published electronically: November 7, 2019


This is the first paper in a series of investigations of the pluripotential theory on Teichmüller space. One of the main purposes of this paper is to give an alternative approach to the Krushkal formula of the pluricomplex Green function on Teichmüller space. We also show that Teichmüller space carries a natural stratified structure of real-analytic submanifolds defined from the structure of singularities of the initial differentials of the Teichmüller mappings from a given point. We will also give a description of the Levi form of the pluricomplex Green function using the Thurston symplectic form via Dumas’ symplectic structure on the space of holomorphic quadratic differentials.
Similar Articles
Bibliographic Information
  • Hideki Miyachi
  • Affiliation: Division of Mathematical and Physical Sciences, Graduate School of Natural Science & Technology, Kanazawa University, Kakuma-machi, Kanazawa, Ishikawa, 920-1192, Japan
  • MR Author ID: 650573
  • ORCID: 0000-0003-4318-9539
  • Email:
  • Received by editor(s): January 14, 2019
  • Published electronically: November 7, 2019
  • Additional Notes: This work was partially supported by JSPS KAKENHI Grant Numbers 16K05202, 16H03933, 17H02843
  • © Copyright 2019 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 23 (2019), 221-250
  • MSC (2010): Primary 30F60, 32G15, 57M50, 31B05, 32U05, 32U35
  • DOI:
  • MathSciNet review: 4028456