34 citations · 140 across the 46 of their papers we have counts for
7 papers · 2 filters
Newton polygon stratification of the Torelli locus in PEL-type Shimura varieties
Wanlin Li, Elena Mantovan, Rachel Pries +1
We study the intersection of the Torelli locus with the Newton polygon stratification of the modulo reduction of certain PEL-type Shimura varieties. We develop a clutching meth…
The Supersingularity of Hurwitz Curves
Dean Bisogno, Erin Dawson, Henry Frauenhoff +5
We study when Hurwitz curves are supersingular. Specifically, we show that the curve , with and relatively prime, is s…
The Galois action on the lower central series of the fundamental group of the Fermat curve
Rachel Davis, Rachel Pries, Kirsten Wickelgren
Information about the absolute Galois group of a number field is encoded in how it acts on the étale fundamental group of a curve defined over . In the case th…
Current results on Newton polygons of curves
Rachel Pries
There are open questions about which Newton polygons and Ekedahl-Oort types occur for Jacobians of smooth curves of genus in positive characteristic . In this chapter, I sur…
Cohomology groups of Fermat curves via ray class fields of cyclotomic fields
Rachel Davis, Rachel Pries
The absolute Galois group of the cyclotomic field acts on the étale homology of the Fermat curve of exponent . We study a Galois cohomology group which…
Newton Polygons Arising for Special Families of Cyclic Covers of the Projective Line
Wanlin Li, Elena Mantovan, Rachel Pries +1
By a result of Moonen, there are exactly 20 positive-dimensional families of cyclic covers of the projective line for which the Torelli image is open and dense in the associated Sh…