Differential forms and bilinear forms under field extensions

DOI10.1016/j.jalgebra.2015.05.034zbMath1393.11034OpenAlexW1121817360MaRDI QIDQ493769

Andrew Dolphin, Detlev W. Hoffmann

Publication date: 4 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.05.034

zbMATH Keywords

Witt ringfunction fieldhypersurfacebilinear formMilnor \(K\)-theorydifferential forminseparable extensionseparable extensionsimple extensionWitt kernel

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Differential algebra (12H05) Transcendental field extensions (12F20) Inseparable field extensions (12F15) Higher symbols, Milnor (K)-theory (19D45)

Related Items (5)

ESSENTIAL DIMENSION OF GENERIC SYMBOLS IN CHARACTERISTIC ⋮ Annihilators of differential forms over fields of characteristic \(p\) ⋮ The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions ⋮ Cohomological kernels of mixed extensions in characteristic 2 ⋮ Results on Witt kernels of quadratic forms for multi-quadratic extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Witt kernels of function field extensions in characteristic 2
• Splitting of bilinear forms of characteristic 2
• The Witt ring kernel for a fourth degree field extension and related problems
• \(p\)-adic étale cohomology
• Witt kernels of function field extensions
• Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two
• Cohomologische Invarianten quadratischer Formen
• Quadratic forms over semilocal rings
• Function fields of Pfister forms
• Biquaternion algebras and quartic extensions
• On quadratic forms over inseparable quadratic extensions
• The Witt kernels of purely inseparable quartic extensions
• The behavior of quadratic and differential forms under function field extensions in characteristic two.
• Quadratic forms, division algebras and inseparable multiquadratic extensions
• Witt kernels and Brauer kernels for quartic extensions in characteristic two
• Proof of Krull's intersection theorem for the Witt ring
• Ein Teilformensatz für quadratische Formen in Charakteristik 2
• Results on Witt kernels of quadratic forms for multi-quadratic extensions
• Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2
• Witt Rings and Brauer Groups Under Multiquadratic Extensions, I
• Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
• Linkage of Fields in Characteristic 2
• Witt kernels of bi-quadratic extensions in characteristic 2
• Witt kernels of bilinear forms for algebraic extensions in characteristic 2

This page was built for publication: Differential forms and bilinear forms under field extensions