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

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  • Sophie Marques
  • Kenneth Ward

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.

Suggested Citation

  • Sophie Marques & Kenneth Ward, 2018. "Holomorphic differentials of certain solvable covers of the projective line over a perfect field," Mathematische Nachrichten, Wiley Blackwell, vol. 291(13), pages 2057-2083, September.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:13:p:2057-2083
    DOI: 10.1002/mana.201500347
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