• Corpus ID: 249642458

Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces II

@inproceedings{Bonnafoux2022ArithmeticityOT,
  title={Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces II},
  author={Etienne Bonnafoux and M. Kany and Pascal Kattler and Carlos Matheus and Rogelio Nino and Manuel Sedano-Mendoza and Ferr{\'a}n Valdez and Gabriela Weitze-Schmithusen},
  year={2022}
}
In this note, we extend the scope of our previous work joint with Bonnafoux, Kattler, Ni˜no, Sedano-Mendoza, Valdez and Weitze-Schmith¨usen by showing the arithmeticity of the Kontsevich–Zorich monodromies of infinite families of square-tiled surfaces of genera four, five and six. 
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Kontsevich-Zorich monodromy groups of translation covers of some platonic solids

. We compute the Zariski closure of the Kontsevich–Zorich monodromy groups arising from certain square-tiled surfaces that are geometrically motivated. Specifically we consider three surfaces that…

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