Galois module structure of holomorphic differentials in characteristic \(p\)
Let \(k\) be an algebraically closed field of characteristic \(p>0\). For a class of elementary abelian \(p\)-extensions of \(k(x)\) with Galois group \(G\), the structure of the set of holomorphic differentials is determined explicitly as a \(k[G]\)-module.
elementary abelian extensions of function fields
scientific article; zbMATH DE number 937060