\(H^ 3\) and rational points on biquadratic bicyclic norm forms

DOI10.1007/BF01193679zbMath0583.12017OpenAlexW2034271626MaRDI QIDQ1069990

Werner Hürlimann

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193679

zbMATH Keywords

Hasse principlerationalformulaexplicit algorithmbiquadratic field extensionsfactor groups of norm groupsof Takahashi-Tannakapoints on norm formsthird Galois cohomological group

Mathematics Subject Classification ID

Galois cohomology (12G05) Rational points (14G05) Cubic and quartic extensions (11R16) Galois cohomology (11R34) Multiplicative and norm form equations (11D57)

Related Items

La descente sur les variétés rationnelles. II. (The descent on rational varieties. II) ⋮ THE PROPORTION OF FAILURES OF THE HASSE NORM PRINCIPLE

Cites Work

• On algebraic tori of norm type
• Cohomology groups of finite Abelian groups
• On the normal form of cohomology groups
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
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