The behavior of differential forms under purely inseparable extensions

DOI10.1016/j.jpaa.2018.03.019zbMath1454.12002OpenAlexW2796163462WikidataQ130034717 ScholiaQ130034717MaRDI QIDQ1672042

Manuel O'Ryan, Roberto Aravire, Ahmed Laghribi

Publication date: 7 September 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.03.019

zbMATH Keywords

differential formpurely inseparable extensionKato-Milne cohomology

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Differential algebra (12H05) Inseparable field extensions (12F15) Modules of differentials (13N05) Homological methods (field theory) (12G99)

Related Items (6)

Transfer for Kato-Milne cohomology over purely inseparable extensions (with an appendix by Diksha Mukhija) ⋮ Annihilators of differential forms over fields of characteristic \(p\) ⋮ Cohomological kernels of non-normal extensions in characteristic two and indecomposable division algebras of index eight ⋮ Splitting of quadratic Pfister forms over purely inseparable extensions in characteristic 2 ⋮ Cohomological kernels of purely inseparable field extensions ⋮ Cohomological kernels of mixed extensions in characteristic 2

Cites Work

• Cohomology and graded Witt group kernels for extensions of degree four in characteristic two
• Graded Witt kernels of the compositum of multiquadratic extensions with the function fields of Pfister forms
• Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two
• The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions
• The Witt kernels of purely inseparable quartic extensions
• The behavior of quadratic and differential forms under function field extensions in characteristic two.
• The graded Witt group kernel of biquadratic extensions in characteristic two
• Results on Witt kernels of quadratic forms for multi-quadratic extensions
• Milnor'ory and quadratic forms over fields of characteristic two
• On the Galois theory of purely inseparable field extensions
• Galois Theory of Purely Inseparable Fields of Exponent One
• Unnamed Item

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