Geometry of infinitely generated Veech groups

Pascal Hubert; Thomas A. Schmidt

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arXiv · math/0410132

Geometry of infinitely generated Veech groups

Pascal Hubert·Thomas A. Schmidt

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Abstract

Veech groups uniformize Teichmüller geodesic curves in Riemann moduli space. Recently, examples of infinitely generated Veech groups have been given. We show that these can even have infinitely many cusps and infinitely many infinite ends. We further show that examples exist for which each direction of an infinite end is the limit of directions of inequivalent infinite ends.

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BibTeX RIS

Pascal Hubert, Thomas A. Schmidt. 2004-10-06. Geometry of infinitely generated Veech groups. https://arxiv.org/abs/math/0410132

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