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

2015/07/24 by Sophie Marques, Marques, Sophie, Kenneth D. Ward +1 · 1 citation
Mathematics · #11G20 #11R58 #14H05 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1507.07023

openalex publication_date 2015/07/24 · openalex created_date 2022/08/24 · openalex updated_date 2026/07/28

Abstract

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

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