\(u\)-invariants of fields of characteristic 2

DOI10.1007/BF02571530zbMath0733.11011MaRDI QIDQ1813000

Remo Moresi, Pasquale Mammone, Adrian R. Wadsworth

Publication date: 25 June 1992

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

Full work available at URL: https://eudml.org/doc/174321

zbMATH Keywords

quadratic formresidue field\(u\)-invariant for fieldsHenselian discrete valuation

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

Related Items (6)

Some invariants of a field of characteristic 2 associated to the \(\hat{u}\)-invariant ⋮ Period-index and \(u\)-invariant questions for function fields over complete discretely valued fields ⋮ Chow groups of quadrics in characteristic two ⋮ On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3 ⋮ Isotropy of 5-dimensional quadratic forms over the function field of a quadric in characteristic 2 ⋮ Certain quadratic forms of dimension at most 6 and function fields of characteristic 2

Cites Work

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• Fields of characteristic 2 with prescribed u-invariants
• Equivalent forms of Hensel's lemma
• The behavior of the \(\nu\)-invariant of a field of characteristic 2 under finite extensions
• Zur Theorie quadratischer Formen über Hensel-Körpern
• Symmetric bilinear forms and quadratic forms
• Valuation theory
• Quadratic forms and the u-invariant
• Quadratic forms
• Systems of quadratic forms.
• A field of characteristic 2 withu-invariant 6
• Comparing u-invariants of fields of characteristic 2
• On a class of fields admitting only cyclic extensions of prime power degree
• Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. (Teil I.).

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