The \(u\)-invariant of one-dimensional function fields over real power series fields

DOI10.1007/s00013-009-0034-3zbMath1241.11047OpenAlexW2065858339MaRDI QIDQ1038682

Claus Scheiderer

Publication date: 20 November 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0034-3

zbMATH Keywords

\(u\)-invariantquadratic formsorderings of fieldsfunction fields of curvespatching of fieldspower series fields

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

The Pythagoras number and the \(u\)-invariant of Laurent series fields in several variables

Cites Work

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• Patching over fields
• Sums of squares in function fields of hyperelliptic curves
• Applications of patching to quadratic forms and central simple algebras
• Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves
• Quadratic forms
• On quadratic forms and abelian varieties over function fields
• Quadratic forms over arbitrary fields

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