An origami of genus 3 with arithmetic Kontsevich-Zorich monodromy

Pascal Hubert; Carlos Matheus Santos

doi:10.1017/S0305004119000057

An origami of genus 3 with arithmetic Kontsevich-Zorich monodromy

Pascal Hubert
, Carlos Matheus Santos

Université de Provence

Research output: Contribution to journal › Article › peer-review

Abstract

In this we exploit the arithmeticity criterion of Oh and 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.

Original language	English
Pages (from-to)	19-30
Number of pages	12
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	169
Issue number	1
DOIs	https://doi.org/10.1017/S0305004119000057
Publication status	Published - 1 Jan 2020

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title = "An origami of genus 3 with arithmetic Kontsevich-Zorich monodromy",

abstract = "In this we exploit the arithmeticity criterion of Oh and 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.",

author = "Pascal Hubert and Santos, \{Carlos Matheus\}",

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AU - Santos, Carlos Matheus

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Y1 - 2020/1/1

N2 - In this we exploit the arithmeticity criterion of Oh and 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.

AB - In this we exploit the arithmeticity criterion of Oh and 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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DO - 10.1017/S0305004119000057

M3 - Article

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EP - 30

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

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An origami of genus 3 with arithmetic Kontsevich-Zorich monodromy

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