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arXiv · 1806.09855

An origami of genus $3$ with arithmetic Kontsevich--Zorich monodromy

Pascal Hubert·Carlos Matheus
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Abstract

In this note, we exploit the arithmeticity criterion of Benoist--Miquel to exhibit an origami in the principal stratum of the moduli space of translation surfaces of genus three whose Kontsevich--Zorich monodromy is not thin in the sense of Sarnak.

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Pascal Hubert, Carlos Matheus. 2018-06-26. An origami of genus $3$ with arithmetic Kontsevich--Zorich monodromy. https://arxiv.org/abs/1806.09855

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