Going up of the \(u\)-invariant over formally real fields

DOI10.1007/s00208-007-0095-1zbMath1183.11019OpenAlexW2049425278MaRDI QIDQ2373390

Claus Schubert

Publication date: 19 July 2007

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

Full work available at URL: https://doi.org/10.1007/s00208-007-0095-1

zbMATH Keywords

formally real fieldspace of orderingsu-invariantreduced stability

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Forms over real fields (11E10)

Related Items (2)

Weakly isotropic quadratic forms under field extensions ⋮ Symbol length and stability index

Cites Work

• Unnamed Item
• Quadratic forms under algebraic extensions
• Spaces of orderings and abstract real spectra
• On the theory of quadratic forms over formally real fields
• Systems of quadratic forms.
• The Witt Ring of a Space of Ordering
• Spaces of Orderings IV
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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