Mock covers and Galois extensions

DOI10.1016/0021-8693(84)90103-0zbMath0559.14021OpenAlexW2044872344MaRDI QIDQ802619

David Harbater

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90103-0

zbMATH Keywords

power seriesramificationexistence of regular Galois extensionsGalois theory of schemesmock cover

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Extension theory of commutative rings (13B02) Coverings in algebraic geometry (14E20) Ramification problems in algebraic geometry (14E22) Galois theory and commutative ring extensions (13B05)

Related Items

Hurwitz families and arithmetic Galois groups ⋮ Curves which do not become semi-stable after any solvable extension ⋮ Laguerre type polynomials for rational function fields and applications ⋮ Galois theory over rings of arithmetic power series ⋮ Moduli relations between l-adic representations and the regular inverse Galois problem ⋮ Galois groups and complete domains ⋮ Inverse Galois problem for ordinary curves ⋮ Moduli interpretations for noncongruence modular curves ⋮ Construction of coverings of pointed curves ⋮ The Automorphism Group of a Function Field ⋮ Pre-Galois theory ⋮ Free differential Galois groups ⋮ Algebraic rings of arithmetic power series ⋮ The inverse Galois problem over formal power series fields

Cites Work

• Unnamed Item
• Generic Galois extensions and problems in field theory
• Homological Dimension in Local Rings
• Convergent Arithmetic Power Series
• Deformation Theory and the Tame Fundamental Group
• Moduli of p-covers of curves

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