# Galois structure of the holomorphic poly-differentials of curves

@inproceedings{Bleher2021GaloisSO, title={Galois structure of the holomorphic poly-differentials of curves}, author={Frauke M. Bleher and Adam Wood}, year={2021} }

Suppose X is a smooth projective geometrically irreducible curve over a perfect field k of positive characteristic p. Let G be a finite group acting faithfully on X over k such that G has non-trivial, cyclic Sylow p-subgroups. In this paper we show that for m > 1, the decomposition of H0(X,Ω X ) into a direct sum of indecomposable kG-modules is uniquely determined by the divisor class of a canonical divisor of X/G together with the lower ramification groups and the fundamental characters of the…

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