Moduli of Galois p-covers in mixed characteristics

Abstract

We define a proper moduli stack for degree $p$ covers f:Y \to \cX where \cX is a twisted stable curve in the sense of [5] and [4], and $Y$ is a stable curve which via $f$ is a torsor over \cX under a finite flat group scheme \cG \to \cX.Comment: 22 page