An extraordinary origami curve

Details An extraordinary origami curve An extraordinary origami curve

2005-09-08

arxiv.org/abs/math/0509195v1

Mathematics

Algebraic Geometry

18 pages, 11 figures

Scientific paper

We study a special Teichmueller curve in the moduli space of curves of genus
3 that is intersected by infinitely many other Teichmueller curves. The Veech
group of the underlying translation surface is SL_2(Z). All occurring
Teichmueller curves are induced by origamis, i.e. unramified coverings of the
once punctured torus.

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