The norm theorem for quadratic forms over a field of characteristic 2

DOI10.1080/00927879008823968zbMath0711.11019OpenAlexW2067718134MaRDI QIDQ3495422

Ricardo Baeza

Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008823968

zbMATH Keywords

norm theoremquadratic forms over fields of characteristic 2Springer's reduction theory

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Quadratic forms over local rings and fields (11E08)

Related Items (12)

A note on generic splitting of quadratic forms ⋮ Transfer for Kato-Milne cohomology over purely inseparable extensions (with an appendix by Diksha Mukhija) ⋮ Quadratic forms and Pfister neighbors in characteristic 2 ⋮ On the norm theorem for semisingular quadratic forms ⋮ A normal form and schemes of quadratic forms ⋮ The norm theorem for semisingular quadratic forms ⋮ The norm theorem for totally singular quadratic forms ⋮ The descent of biquaternion algebras in characteristic two ⋮ Isotropy of 5-dimensional quadratic forms over the function field of a quadric in characteristic 2 ⋮ On n-hilbert fields in characteristic 2 ⋮ Certain quadratic forms of dimension at most 6 and function fields of characteristic 2 ⋮ The behavior of quadratic and differential forms under function field extensions in characteristic two.

Cites Work

• Quadratic forms over semilocal rings
• Isometrien über semilokalen Ringen
• Discriminants in characteristic two
• Über eine Invariante quadratischer Formen mod. 2.

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