Algebraic families of hyperelliptic curves violating the Hasse principle

DOI10.2140/pjm.2015.274.141zbMath1341.14008arXiv1407.7207OpenAlexW858513563MaRDI QIDQ2352464

Ngoc Dong Quan Nguyen

Publication date: 2 July 2015

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

Full work available at URL: https://arxiv.org/abs/1407.7207

zbMATH Keywords

Brauer groupshyperelliptic curvesAzumaya algebrasHasse principleBrauer-Manin obstruction

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)] Varieties over global fields (11G35)

Related Items (1)

A positive proportion of locally soluble hyperelliptic curves over ℚ have no point over any odd degree extension

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