Invariants for Artin-Schreier curves

Abstract: Artin-Schreier curves are curves over algebraically closed fields of characteristic p, defined by the equation $y^p - y = f(x)$, where $f(x)$ is a rational function. In this talk, I will present a framework for parameterizing moduli spaces of Artin-Schreier curves in characteristic $p > 2$. This includes describing a suitable standard model for the curves and computing invariants by isomorphisms in these models. This is joint work with Elisa Lorenzo García, Beth Malmskog, and Renate Scheidler.

number theory

Audience: researchers in the topic

Five College Number Theory Seminar