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math.NT2025
Ekedahl-Oort types of -covers in characteristic
Jeremy Booher, Steven R. Groen, Joe Kramer-Miller
In this article we study the Ekedahl-Oort types of -Galois covers in characteristic two. When the base curve is ordinary, we show that the E…
math.NT2025
Supersingular curves via the Shimura--Taniyama method
Jeremy Booher, Rachel Pries
For a curve which admits an abelian cover of the projective line branched at three points, we study when its reduction to positive characteristic is supersingular. Using the method…