Article
Examples for Veech groups of origamis
Gabriela Schmithüsen
Proceedings of the III Iberoamerican Congress on Geometry. In: The Geometry of Riemann Surfaces and Abelian Varieties. Contemp. Math. 397, 2006 (p. 193 206).
We study infinite sequences of special translation surfaces, more precisely of origamis. We determine their Veech groups as certain well known congruence subgroups of SL(2,Z).
Our construction also yields in each moduli space M_g (g > 1) a Teichmüller curve whose normalisation is the projective line with three points removed. We obtain the same result for the
projective line with two points removed.