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arXiv · 2310.13776

Hurwitz-Hecke Invariant Subvarieties

Paul Apisa
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Abstract

We introduce a construction of affine invariant subvarieties in strata of translation surfaces whose input is purely combinatorial. We then show that this construction can be used to construct the Bouw-Moeller Teichmueller curves and the seven Eskin-McMullen-Mukamel-Wright rank two orbit closures. The construction is based on the theory of Hurwitz spaces and is inspired by work of Delecroix, Rueth, and Wright.

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Paul Apisa. 2023-10-20. Hurwitz-Hecke Invariant Subvarieties. https://arxiv.org/abs/2310.13776

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