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arxiv: math/0509195 · v1 · submitted 2005-09-08 · 🧮 math.AG

An extraordinary origami curve

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keywords curvesteichmuellercurvecoveringsextraordinarygenusgroupinduced
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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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