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arxiv: 1806.09855 · v2 · pith:MFOKXNJOnew · submitted 2018-06-26 · 🧮 math.DS

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

classification 🧮 math.DS
keywords genuskontsevich--zorichmonodromyorigamiarithmeticarithmeticitybenoist--miquelcriterion
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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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