34 citations · 140 across the 46 of their papers we have counts for
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math.NT2013
Generic Newton polygons for curves of given p-rank
Jeff Achter, Rachel Pries
We survey results and open questions about the -ranks and Newton polygons of Jacobians of curves in positive characteristic . We prove some geometric results about the -ra…
math.NT2013
Arithmetic of abelian varieties in Artin-Schreier extensions
Rachel Pries, Douglas Ulmer
We study abelian varieties defined over function fields of curves in positive characteristic , focusing on their arithmetic within the system of Artin-Schreier extensions. First…
math.NT2013
The Ekedahl-Oort type of Jacobians of Hermitian curves
Rachel Pries, Colin Weir
The Ekedahl-Oort type is a combinatorial invariant of a principally polarized abelian variety defined over an algebraically closed field of characteristic . It character…