Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank

Shawn Farnell, Rachel Pries

Let k be an algebraically closed field of characteristic p > 0. Every Artin-Schreier k-curve X has an equation of the form y^p - y = f(x) for some f(x) in k(x) such that p does not…