\begin{thebibliography}{1}

\bibitem{Bleher_Chinburg_Kontogeorgis_Galois_structure}
F.~M. Bleher, T.~Chinburg, and A.~Kontogeorgis.
\newblock Galois structure of the holomorphic differentials of curves.
\newblock {\em J. Number Theory}, 216:1--68, 2020.

\bibitem{Garnek_equivariant}
J.~Garnek.
\newblock Equivariant splitting of the {H}odge-de {R}ham exact sequence.
\newblock {\em Math. Z.}, 300(2):1917--1938, 2022.

\bibitem{Serre1979}
J.-P. Serre.
\newblock {\em {Local fields}}, volume~67 of {\em {Graduate Texts in
  Mathematics}}.
\newblock Springer-Verlag, New York-Berlin, 1979.
\newblock Translated from the French by Marvin Jay Greenberg.

\bibitem{Valentini_Madan_Automorphisms}
R.~C. Valentini and M.~L. Madan.
\newblock Automorphisms and holomorphic differentials in characteristic~{$p$}.
\newblock {\em J. Number Theory}, 13(1):106--115, 1981.

\end{thebibliography}