Finiteness of Teichmüller Curves in Non-Arithmetic Rank 1 Orbit Closures

Erwan Lanneau,Duc-Manh Nguyen,Alex Wright

AMERICAN JOURNAL OF MATHEMATICS（2017）

引用 17|浏览3

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摘要

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

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