Similarity of quadratic and symmetric bilinear forms in characteristic 2

DOI10.1016/j.indag.2020.08.008zbMath1485.11075arXiv2006.04741OpenAlexW3082354950MaRDI QIDQ1983963

Detlev W. Hoffmann

Publication date: 13 September 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04741

zbMATH Keywords

quadratic formisometrysimilarityfield extensionsymmetric bilinear formseparable extension

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81)

Cites Work

• Involutions, odd degree extensions and generic splitting.
• Similarity of quadratic forms and related problems
• The norm theorem for totally singular quadratic forms
• Annihilators of quadratic and bilinear forms over fields of characteristic two
• Quadratic forms and Pfister neighbors in characteristic 2
• Witt kernels of bilinear forms for algebraic extensions in characteristic 2
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