Hasse principles for multinorm equations

DOI10.1016/j.aim.2019.106818zbMath1469.11215arXiv1507.06277OpenAlexW2975219718WikidataQ127209382 ScholiaQ127209382MaRDI QIDQ2326678

Raman Parimala, Eva Bayer-Fluckiger, Ting-Yu Lee

Publication date: 10 October 2019

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

Full work available at URL: https://arxiv.org/abs/1507.06277

zbMATH Keywords

torilocal-global principlesShafarevich groupsBrauer-Manin obstructionsmultinorm

Mathematics Subject Classification ID

Galois cohomology (12G05) Rational points (14G05) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25)

Related Items (6)

Class numbers of multinorm-one tori ⋮ On Tamagawa numbers of CM tori ⋮ On unramified Brauer groups of torsors over tori ⋮ Tori associated to a quartic étale algebra ⋮ Local-global principles for norm one tori over semi-global fields ⋮ The Tate-Shafarevich groups of multinorm-one tori

Cites Work

• Unnamed Item
• Unnamed Item
• Hasse principle and weak approximation for multinorm equations
• Nombres de Tamagawa et groupes unipotents en caractéristique p
• 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
• Unramified Brauer group of homogeneous spaces of tori
• On the multinorm principle for finite abelian extensions
• THE PROPORTION OF FAILURES OF THE HASSE NORM PRINCIPLE
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• A.D. Alexandrov spaces with curvature bounded below
• The Hasse norm principle for abelian extensions

This page was built for publication: Hasse principles for multinorm equations