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Geometry of infinitely generated Veech groups

Author(s): Pascal Hubert; Thomas A. Schmidt
Journal: Conform. Geom. Dyn. 10 (2006), 1-20.
MSC (2000): Primary 30F35, 11J70
Posted: January 10, 2006
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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: 10.1090/S1088-4173-06-00120-2
PII: S 1088-4173(06)00120-2
Received by editor(s): July 29, 2004
Received by editor(s) in revised form: November 11, 2005
Posted: January 10, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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