Results on Witt kernels of quadratic forms for multi-quadratic extensions

DOI10.1090/S0002-9939-2013-11730-2zbMath1283.11065MaRDI QIDQ2855897

Ahmed Laghribi, Roberto Aravire

Publication date: 23 October 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Witt ringquadratic formWitt groupsymmetric bilinear formdifferential formWitt kernelKato's cohomology

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Inseparable field extensions (12F15)

Related Items (11)

Transfer for Kato-Milne cohomology over purely inseparable extensions (with an appendix by Diksha Mukhija) ⋮ Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2 ⋮ The behavior of differential forms under purely inseparable extensions ⋮ Graded Witt kernels of the compositum of multiquadratic extensions with the function fields of Pfister forms ⋮ The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions ⋮ Differential forms and bilinear forms under field extensions ⋮ The $u^n$-invariant and the symbol length of $H_2^n(F)$ ⋮ Cohomological kernels of non-normal extensions in characteristic two and indecomposable division algebras of index eight ⋮ Cohomological kernels of purely inseparable field extensions ⋮ Cohomological kernels of mixed extensions in characteristic 2 ⋮ Witt kernels and Brauer kernels for quartic extensions in characteristic two

Cites Work

• Differential forms and bilinear forms under field extensions
• Witt kernels of function field extensions in characteristic 2
• Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two
• Quadratic forms over semilocal rings
• The behavior of quadratic and differential forms under function field extensions in characteristic two.
• Quadratic forms, division algebras and inseparable multiquadratic extensions
• Witt kernels of bi-quadratic extensions in characteristic 2
• Witt kernels of quadratic forms for purely inseparable multiquadratic extensions in characteristic 2
• Witt kernels of bilinear forms for algebraic extensions in characteristic 2

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