Quartic polynomials and the Hasse norm theorem modulo squares

DOI10.1016/j.jnt.2016.01.022zbMath1401.11082OpenAlexW2288716769MaRDI QIDQ271753

Alexander S. Sivatski

Publication date: 20 April 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.01.022

zbMATH Keywords

Brauer groupfield extensioncup-productHasse norm theoremu-invariant

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Multiplicative and norm form equations (11D57)

Related Items

Tori associated to a quartic étale algebra

Cites Work

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• The Witt ring kernel for a fourth degree field extension and related problems
• The Haase norm theorem mod squares
• Biquaternion algebras and quartic extensions
• The Transfer Ideal of Quadratic Forms and a Hasse Norm Theorem Mod Squares