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math.GT2005
Veech groups without parabolic elements
Pascal Hubert, Erwan Lanneau
We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups w…
math.GT2004
Geometry of infinitely generated Veech groups
Pascal Hubert, Thomas A. Schmidt
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 ha…