Norm Principles for Forms of Higher Degree Permitting Composition

DOI10.1080/00927870802545752zbMath1244.11037arXivmath/0701139OpenAlexW2018003523MaRDI QIDQ3653326

Robert W. Fitzgerald, Susanne Pumplün

Publication date: 22 December 2009

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

Full work available at URL: https://arxiv.org/abs/math/0701139

zbMATH Keywords

cubic formétale algebraforms of higher degreecomposition of formsScharlau's norm principlecentral simple algberaKnebusch's norm principle

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Quadratic forms over general fields (11E04) Finite-dimensional division rings (16K20) Étale and flat extensions; Henselization; Artin approximation (13B40)

Cites Work

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• Round forms of higher degree
• Forms permitting composition
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• Local-Global Norm Principle for Algebraic Groups
• Some Classes of Multiplicative Forms of Higher Degree
• Norms of sums of squares