Spaces of orderings of fields under finite extensions

DOI10.1007/BF02568264zbMath0733.12003MaRDI QIDQ810088

Claus Scheiderer

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/155627

zbMATH Keywords

Pfister formtrace formordered fieldsspaces of orderingsfinite field extension

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Valuations and their generalizations for commutative rings (13A18) Ordered fields (12J15)

Related Items (2)

On the computation of the trace form of some Galois extensions ⋮ Separating families for semi-algebraic sets

Cites Work

• Stability index of real varieties
• Anneaux locaux henséliens
• Spaces of orderings: Systems of quadratic forms, local structure, and saturation
• The Witt Ring of a Space of Ordering
• Classification of Finite Spaces of Orderings
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