On the Galois-module structure of polydifferentials of Artin-Schreier-Mumford curves, modular and integral representation theory

Kato, Fumiharu and Kontogeorgis, Aristides

Abstract

We study the Galois-module structure of polydifferentials for Mumford curves, defined over a field of positive charactersitic, using the theory of harmonic cocycles. For the case of Artin-Schreier-Mumford curves the structure of holomorphic polydifferentials is explicitly computed.