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arXiv · 1504.03742

Finiteness of Teichm\"uller curves in non-arithmetic rank 1 orbit closures

Erwan Lanneau·Duc-Manh Nguyen·Alex Wright
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Abstract

We show that in any non-arithmetic rank 1 orbit closure of translation surfaces, there are only finitely many Teichm\"uller curves. We also show that in any non-arithmetic rank 1 orbit closure, any completely parabolic surface is Veech.

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Erwan Lanneau, Duc-Manh Nguyen, Alex Wright. 2015-04-14. Finiteness of Teichm\"uller curves in non-arithmetic rank 1 orbit closures. https://arxiv.org/abs/1504.03742

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