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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 urn:x-wiley:0025584X:media:mana201500347:mana201500347-math-0001. Within this class, we also describe the Galois module structure of holomorphic differentials for abelian covers.
Keywords:algebraic curve  differentials  perfect field  solvable  tower  11G20  11R58  14H05
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