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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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.

 

Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere
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by Irene Pasquinelli PDF
Conform. Geom. Dyn. 20 (2016), 235-281 Request permission

Abstract:

Deligne and Mostow constructed a class of lattices in $PU(2,1)$ using monodromy of hypergeometric functions. Thurston reinterpreted them in terms of cone metrics on the sphere. In this spirit we construct a fundamental domain for the lattices with three fold symmetry in the list of Deligne and Mostow. This is a generalisation of the works of Boadi and Parker and gives a different interpretation of the fundamental domain constructed by Deraux, Falbel, and Paupert.
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Additional Information
  • Irene Pasquinelli
  • Affiliation: Department of Mathematical Sciences, Durham University, Lower Mountjoy, Stockton Road, Durham DH1 3LE, United Kingdom
  • Email: irene.pasquinelli@durham.ac.uk
  • Received by editor(s): October 8, 2015
  • Received by editor(s) in revised form: April 4, 2016
  • Published electronically: July 19, 2016
  • © Copyright 2016 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 20 (2016), 235-281
  • MSC (2010): Primary 32M05, 57M50, 51M10
  • DOI: https://doi.org/10.1090/ecgd/299
  • MathSciNet review: 3522983