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math.DS2024
Algebraically primitive invariant subvarieties with quadratic field of definition
Paul Apisa, David Aulicino
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 e…
math.DS2019
Shimura-Teichmüller Curves in Genus 5
David Aulicino, Chaya Norton
We prove that there are no Shimura-Teichmüller curves generated by genus five translation surfaces, thereby completing the classification of Shimura-Teichmüller curves in general.…