Galois theory over complete local domains

DOI10.1007/s00208-010-0487-5zbMath1227.12005OpenAlexW2053250716MaRDI QIDQ993356

Elad Paran

Publication date: 10 September 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0487-5

zbMATH Keywords

absolute Galois groupKrull domaincomplete local domainquotient field

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Galois theory and commutative ring extensions (13B05)

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Cites Work

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• Split embedding problems over complete domains
• Algebraic patching over complete domains
• Regular split embedding problems over function fields of one variable over ample fields
• Galois groups over complete valued fields
• Embedding problems over large fields
• Local Galois theory in dimension two
• Algebraic Patching
• Split embedding problems over function fields over complete domains
• Regular split embedding problems over complete valued fields
• Permanence criteria for semi-free profinite groups.