THE PROPORTION OF FAILURES OF THE HASSE NORM PRINCIPLE

DOI10.1112/S0025579315000261zbMath1341.11037arXiv1411.7775OpenAlexW3098285859MaRDI QIDQ2810728

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Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7775

zbMATH Keywords

Hasse norm principleKnot groupnumbers locally norm but not globally

Mathematics Subject Classification ID

Galois cohomology (12G05) Rational points (14G05) Class field theory (11R37) Varieties over global fields (11G35)

Related Items (8)

Distribution of prime ideals of higher residue degree across ideal classes in the class groups ⋮ Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ The Hasse Norm Principle in Global Function Fields ⋮ Integral points on Markoff type cubic surfaces ⋮ On the number of certain del Pezzo surfaces of degree four violating the Hasse principle ⋮ Fibrations with few rational points ⋮ The Hasse norm principle for \(A_n\)-extensions ⋮ Hasse principles for multinorm equations

Cites Work

• On algebraic tori of norm type
• \(H^ 3\) and rational points on biquadratic bicyclic norm forms
• Zur Arithmetik von Diedergruppenerweiterungen
• Zur Arithmetik von Konjugationsklassen in algebraischen Gruppen
• The unramified Brauer group of norm one tori
• Counter-examples to the Hasse principle among certain coflasque tori
• Cohomology in class field theory
• The Farey density of norm subgroups in global fields (I)

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