Finiteness of Teichm\"uller curves in non-arithmetic rank 1 orbit closures
classification
🧮 math.DS
keywords
non-arithmeticorbitrankclosurecurvesteichmullerclosures
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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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