Curves over every global field violating the local-global principle

DOI10.1007/s10958-010-0182-9zbMath1294.11108arXiv0902.3965OpenAlexW2072826219MaRDI QIDQ393236

Bjorn Poonen

Publication date: 16 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3965

zbMATH Keywords

local-global principlecurves over global fieldsnice variety

Mathematics Subject Classification ID

Rational points (14G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (5)

Pathologies of the Brauer-Manin obstruction ⋮ The local-global principle for integral points on stacky curves ⋮ There are genus one curves violating Hasse principle over every number field ⋮ Hasse principle violations for Atkin-Lehner twists of Shimura curves ⋮ On genus one curves violating the local-global principle

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