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arXiv · 2404.10273

Algebraically primitive invariant subvarieties with quadratic field of definition

Paul Apisa·David Aulicino
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Abstract

We show that the only algebraically primitive invariant subvarieties of strata of translation surfaces with quadratic field of definition are the decagon, Weierstrass curves, and eigenform loci in genus two and the rank two example in the minimal stratum of genus four translation surfaces discovered by Eskin-McMullen-Mukamel-Wright.

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Paul Apisa, David Aulicino. 2024-04-16. Algebraically primitive invariant subvarieties with quadratic field of definition. https://arxiv.org/abs/2404.10273

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