34 citations · 140 across the 46 of their papers we have counts for
4 papers · 1 filter
Infinitely many primes of basic reduction for some abelian fourfolds
Wanlin Li, Elena Mantovan, Rachel Pries +1
If is an elliptic curve, defined over or a number field having at least one real embedding, then Elkies proved that has supersingular reduction at infinitely m…
The Torelli locus and Newton polygons
Rachel Pries
This manuscript is about abelian varieties that are Jacobians of curves. I started writing it for a lecture series at the Arizona Winter School in 2024 on abelian varieties. A long…
Positive density of primes of ordinary reduction for abelian varieties of simple signature
Victoria Cantoral Farfán, Wanlin Li, Elena Mantovan +2
By a result of Serre, if is an elliptic curve without CM defined over a number field , then the set of primes of for which has ordinary reduction has density . Ka…
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…