Hasse principle and weak approximation for multinorm equations

DOI10.1007/s11856-014-1071-6zbMath1323.11091arXiv1212.5889OpenAlexW2065288865MaRDI QIDQ466133

Cyril Demarche, Dasheng Wei

Publication date: 24 October 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5889

zbMATH Keywords

weak approximationHasse principleglobal fieldnorm equations

Mathematics Subject Classification ID

Galois theory (11R32) Multiplicative and norm form equations (11D57)

Related Items (9)

On a conjecture of Kato and Kuzumaki ⋮ On the equation N _{K /k} (Ξ)=P (t ) ⋮ On Kato and Kuzumaki's properties for the Milnor \(K_2\) of function fields of \(p\)-adic curves ⋮ Class numbers of multinorm-one tori ⋮ On Tamagawa numbers of CM tori ⋮ The unramified Brauer group of norm one tori ⋮ Local-global principles for norm one tori over semi-global fields ⋮ The Tate-Shafarevich groups of multinorm-one tori ⋮ Hasse principles for multinorm equations

Cites Work

• Local-global principles for embedding of fields with involution into simple algebras with involution
• On algebraic tori of norm type
• The arithmetic of rational varieties
• The multinorm principle for linearly disjoint Galois extensions
• Unramified Brauer group of homogeneous spaces of tori
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
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