R. Pries

activity

20042026

most citedThe integral monodromy of hyperelliptic and trielliptic curves

34 citations · 140 across the 46 of their papers we have counts for

collaborators

Showing 2021 · math.NTShow all

3 papers · 2 filters

math.NT2021★ 1 cited

Data for Shimura varieties intersecting the Torelli locus

Wanlin Li, Elena Mantovan, Rachel Pries

For infinitely many Hurwitz spaces parametrizing cyclic covers of the projective line, we provide a method to determine the integral PEL datum of the Shimura variety that contains…

math.NT2021

Doubly isogenous genus-2 curves with $D_{4}$ -action

Vishal Arul, Jeremy Booher, Steven R. Groen +5

We study the extent to which curves over finite fields are characterized by their zeta functions and the zeta functions of certain of their covers. Suppose C and C' are curves over…

math.NT2021

Every $B T_{1}$ group scheme appears in a Jacobian

Rachel Pries, Douglas Ulmer

Let $p$ be a prime number and let $k$ be an algebraically closed field of characteristic $p$ . A $B T_{1}$ group scheme over $k$ is a finite commutative group scheme which arises as th…

Data for Shimura varieties intersecting the Torelli locus

Doubly isogenous genus-2 curves with D4​-action

Every BT1​ group scheme appears in a Jacobian

Doubly isogenous genus-2 curves with $D_{4}$ -action

Every $B T_{1}$ group scheme appears in a Jacobian