The Tate-Shafarevich groups of multinorm-one tori

DOI10.1016/j.jpaa.2021.106906OpenAlexW3197813554MaRDI QIDQ2078387

Yanyan Li

Publication date: 28 February 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09823

zbMATH Keywords

weak approximationtoriTate-Shafarevich groupslocal-global principlesBrauer-Manin obstructionsmultinorm

Mathematics Subject Classification ID

Galois cohomology (12G05) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25) Galois cohomology (11R34) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Related Items (2)

Class numbers of multinorm-one tori ⋮ On Tamagawa numbers of CM tori

Cites Work

• Hasse principle and weak approximation for multinorm equations
• The multinorm principle for linearly disjoint Galois extensions
• On unramified Brauer groups of torsors over tori
• Hasse principles for multinorm equations
• On the multinorm principle for finite abelian extensions
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Pseudo-reductive Groups

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