On finite intersections of Henselian valued fields

DOI10.1007/BF01171485zbMath0583.12018MaRDI QIDQ1069991

Bernhard Heinemann

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155077

zbMATH Keywords

absolute Galois groupreal closed fieldlocal-global principleHenselian fieldabsolute irreducible K-varietiesfree pro-p-productmaximal intersection

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Limits, profinite groups (20E18) Ordered fields (12J15) Valued fields (12J10) Real algebraic and real-analytic geometry (14Pxx)

Related Items (3)

The algebraic nature of the elementary theory of PRC fields ⋮ Finitely generated pro-\(p\)-groups as Galois groups of maximal \(p\)-extensions of function fields over \(\mathbb{Q}_ q\) ⋮ Relatively projective groups as absolute Galois groups

Cites Work

• On the model companion of the theory of e-fold ordered fields
• The relative separable closure of a valued field in its completion
• Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
• Valuation theory
• On henselizations of valued fields
• Remarks on the Pythagoras and Hasse number of real fields.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On finite intersections of Henselian valued fields