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

Sophie Marques and Kenneth Ward

Mathematische Nachrichten, 2018, vol. 291, issue 13, 2057-2083

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.

Date: 2018
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