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Holomorphic differentials of certain solvable covers of the projective line over a perfect field
Author(s) -
Marques Sophie,
Ward Kenneth
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500347
Subject(s) - mathematics , holomorphic function , projective line , pure mathematics , abelian group , projective space , line (geometry) , basis (linear algebra) , complex projective space , class (philosophy) , line bundle , collineation , projective test , geometry , artificial intelligence , computer science
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.