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math.DS2024
A short proof of the classification of higher rank invariant subvarieties in genus three
Paul Apisa
We give a new short proof of the classification of rank at least two invariant subvarieties in genus three, which is due to Aulicino, Nguyen, and Wright. The proof uses techniques…
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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…