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math.NT2023
The classifying element for quotients of Fermat curves
Juanita Duque-Rosero, Rachel Pries
Suppose is a cyclic Galois cover of the projective line branched at the three points , , and . Under a mild condition on the ramification, we determine the struct…
math.NT2023
Some cases of Oort's conjecture about Newton polygons
Rachel Pries
This paper contains a method to prove the existence of smooth curves in positive characteristic whose Jacobians have unusual Newton polygon. Using this method, I give a new proof t…