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Conformal Geometry and Dynamics

ISSN 1088-4173

 

 

Geometry of infinitely generated Veech groups


Authors: Pascal Hubert and Thomas A. Schmidt
Journal: Conform. Geom. Dyn. 10 (2006), 1-20
MSC (2000): Primary 30F35, 11J70
DOI: https://doi.org/10.1090/S1088-4173-06-00120-2
Published electronically: January 10, 2006
MathSciNet review: 2192855
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Abstract: Veech groups uniformize Teichmüller geodesics in Riemann moduli space. We gave examples of infinitely generated Veech groups; see Duke Math. J. 123 (2004), 49-69. Here we show that the associated Teichmüller geodesics can even have both infinitely many cusps and infinitely many infinite ends.


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Additional Information

Pascal Hubert
Affiliation: Institut de Mathématiques de Luminy, 163 av de Luminy, case 907, 13288 Marseille cedex 09, France
Address at time of publication: Laboratoire d’Analyse Topologie et Probabilité, Case Cours A, Avenue Escadrille Normandie-Niemen, 13397 Marseille Cedex 20, France
Email: hubert@cmi.univ-mrs.fr

Thomas A. Schmidt
Affiliation: Department of Mathematics, Oregon State University, Corvallis, Oregon 97331
Email: toms@math.orst.edu

DOI: https://doi.org/10.1090/S1088-4173-06-00120-2
Received by editor(s): July 29, 2004
Received by editor(s) in revised form: November 11, 2005
Published electronically: January 10, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.