Galois Covers of an Arithmetic Surface

DOI10.2307/2374696zbMath0683.14004OpenAlexW2332177031MaRDI QIDQ4732554

David Harbater

Publication date: 1988

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374696

zbMATH Keywords

henselizationinverse problem of Galois theoryHilbert irreducibility theoremarithmetic convergent power seriesarithmetic unit discArtin's approximationGalois covers of arithmetic surfaces

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Representations of groups as automorphism groups of algebraic systems (20F29) Coverings in algebraic geometry (14E20) Special surfaces (14J25) Galois theory and commutative ring extensions (13B05)

Related Items (7)

Schottky spaces and universal Mumford curves over \(\mathbb{Z}\) ⋮ Galois theory over rings of arithmetic power series ⋮ Global approximation in dimension two ⋮ Split embedding problems over the open arithmetic disc ⋮ Analytic Curves in Algebraic Varieties over Number Fields ⋮ Patching over Berkovich curves and quadratic forms ⋮ Potential theory and Lefschetz theorems for arithmetic surfaces

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