Norm tori of étale algebras and unramified Brauer groups

DOI10.1007/S11856-023-2533-5zbMATH Open1547.14029MaRDI QIDQ6584649

Ting-Yu Lee, Eva Bayer-Fluckiger

Publication date: 8 August 2024

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

zbMATH Keywords

Brauer algebrasunramified Brauer groupsnorm tori

Mathematics Subject Classification ID

Varieties over global fields (11G35) Brauer groups of schemes (14F22)

Cites Work

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• Hasse principle and weak approximation for multinorm equations
• On algebraic tori of norm type
• Principal homogeneous spaces under flasque tori; applications
• The multinorm principle for linearly disjoint Galois extensions
• Purity for the Brauer group
• The Tate-Shafarevich groups of multinorm-one tori
• On unramified Brauer groups of torsors over tori
• Hasse principles for multinorm equations
• Unramified Brauer group of homogeneous spaces of tori
• Equivariant compactification of a torus (after Brylinski and Künnemann)
• On the multinorm principle for finite abelian extensions
• Complexes of groups of multiplicative type and unramified Brauer group of homogeneous spaces
• Rational Points on Varieties
• On non‐ramified extensions with prescribed Galois group
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Local-global principles for homogeneous spaces of reductive groups over global function fields

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