Cohomological properties of multinorm-one tori

DOI10.1007/s00025-024-02296-zMaRDI QIDQ6645886

Pei-Xin Liang, Chia-Fu Yu, Yasuhiro Oki

Publication date: 29 November 2024

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Tate-Shafarevich groupsGalois cohomology of torimultinorm-one tori

Mathematics Subject Classification ID

Varieties over global fields (11G35) Galois cohomology of linear algebraic groups (11E72) Galois cohomology (11R34)

Cites Work

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• Hasse principle and weak approximation for multinorm equations
• Local-global principles for embedding of fields with involution into simple algebras with involution
• On algebraic tori of norm type
• The multinorm principle for linearly disjoint Galois extensions
• Hasse principles for multinorm equations
• On the multinorm principle for finite abelian extensions
• Class numbers of multinorm-one tori
• On Tamagawa numbers of CM tori
• Computing Tate-Shafarevich groups of multinorm one tori of Kummer type

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