Milnor'ory and quadratic forms over fields of characteristic two

DOI10.1080/00927879208824393zbMath0747.11021OpenAlexW2021633805MaRDI QIDQ3991560

Roberto Aravire, Ricardo Baeza

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879208824393

zbMATH Keywords

Milnor conjectureWitt ringdifferential formsquadratic forms\(K\)-theory groupsWitt groupKato's method

Mathematics Subject Classification ID

(K)-theory of quadratic and Hermitian forms (11E70) Algebraic theory of quadratic forms; Witt groups and rings (11E81) (K)-theory of forms (19G99)

Related Items (13)

Transfer for Kato-Milne cohomology over purely inseparable extensions (with an appendix by Diksha Mukhija) ⋮ Kato-Milne cohomology and polynomial forms ⋮ Linkage of Fields in Characteristic 2 ⋮ Bak's work on theK-theory of rings ⋮ The behavior of differential forms under purely inseparable extensions ⋮ COMMON SLOTS OF BILINEAR AND QUADRATIC PFISTER FORMS ⋮ Graded Witt kernels of the compositum of multiquadratic extensions with the function fields of Pfister forms ⋮ Relations in \(I^{n}\) and \(I^{n}W_{q}\) in characteristic 2 ⋮ The $u^n$-invariant and the symbol length of $H_2^n(F)$ ⋮ Annihilators of quadratic and bilinear forms over fields of characteristic two ⋮ The descent of biquaternion algebras in characteristic two ⋮ Cohomological kernels of mixed extensions in characteristic 2 ⋮ The behavior of quadratic and differential forms under function field extensions in characteristic two.

Cites Work

• The behavior of the \(\nu\)-invariant of a field of characteristic 2 under finite extensions
• Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two
• Annullatoren von Pfisterformen über semilokalen Ringen
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Symmetric bilinear forms and quadratic forms
• Pfister forms and \(K\)-theory of fields
• Ein Teilformensatz für quadratische Formen in Charakteristik 2
• Stiefel-Whitney invariants of quadratic forms over local rings

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