Holomorphic differentials of certain solvable covers of the projective line over a perfect field

Abstract

We provide a Boseck-type basis of the space of holomorphic differentials for a large class of solvable covers of the projective line with perfect field of constants of characteristic $p>0$. Within this class, we also describe the Galois module structure of holomorphic differentials for abelian covers.

arXiv comment36 pages. New theorem added (Theorem 2)