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An extraordinary origami curve

Frank Herrlich·Gabriela Schmithuesen
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Abstract

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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Frank Herrlich, Gabriela Schmithuesen. 2005-09-08. An extraordinary origami curve. https://arxiv.org/abs/math/0509195

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