A superelliptic curve over a DVR O of residual characteristic p is a curve given by an equation C : y n = f (x). The purpose of the present article is to describe the Galois representation attached to such a curve under the hypothesis that f (x) has all its roots in the fraction field of O and that p ∤ n. Our results are inspired on the algorithm given in [BW17] but our description is given in terms of a cluster picture as defined in [DDMM18].
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