Galois representations of superelliptic curves
Galois representations of superelliptic curves
Abstract A superelliptic curve over a discrete valuation ring $\mathscr{O}$ of residual characteristic p is a curve given by an equation $\mathscr{C}\;:\; y^n=\,f(x)$ , with $\textrm{Disc}(\,f)\neq 0$ . The purpose of this article is to describe the Galois representation attached to such a curve under the hypothesis that f ( …