Anisotropic Forms of Higher Degree Under Finite Dimensional Field Extensions

DOI10.1080/00927870903023113zbMath1246.11095OpenAlexW2003053311MaRDI QIDQ3579888

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Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903023113

zbMATH Keywords

nontrivial zerosSpringer's theoremforms of higher degreecomposition of forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Quadratic forms over general fields (11E04) Polynomials in general fields (irreducibility, etc.) (12E05)

Cites Work

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• Some applications of Jordan norms to involutorial simple associative algebras
• A Grothendieck ring of higher degree forms
• The Serre-Rost invariant of Albert algebras in characteristic three
• Round forms of higher degree
• An elementary approach to the Serre-Rost invariant of Albert algebras
• Forms permitting composition
• Some Classes of Multiplicative Forms of Higher Degree
• Witt rings of higher degree forms

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