Galois groups over complete valued fields

DOI10.1007/BF02761092zbMath0869.12006OpenAlexW1976833532MaRDI QIDQ1912772

Dan Haran, Helmut Voelklein

Publication date: 14 May 1996

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

Full work available at URL: https://doi.org/10.1007/bf02761092

zbMATH Keywords

Galois groupsinverse Galois theoryrational function fieldcomplete discrete valued fieldpatching principle

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Valued fields (12J10)

Related Items

Quasi-formations ⋮ Hilbertianity of fields of power series ⋮ Finite groups of Lie type as Galois groups over \(\mathbb{F}_p(t)\) ⋮ Algebraic patching over complete domains ⋮ Split embedding problems over the open arithmetic disc ⋮ Patching over fields ⋮ Galois theory over complete local domains ⋮ Split embedding problems over complete domains ⋮ Regular split embedding problems over function fields of one variable over ample fields ⋮ Bounded realization ofl-groups over global fields ⋮ Higher adeles and non-abelian Riemann-Roch

Cites Work

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• Konstruktive Galoistheorie. (Constructive Galois theory)
• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• The inverse Galois problem over formal power series fields
• Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture
• Abhyankar's conjecture on Galois groups over curves
• Convergent Arithmetic Power Series
• Formal Patching and Adding Branch Points