Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme

DOI10.1016/j.aim.2015.04.020zbMath1322.11069arXiv1312.2572OpenAlexW1494813518MaRDI QIDQ2346046

Jörg Jahnel, Andreas-Stephan Elsenhans

Publication date: 29 May 2015

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

Full work available at URL: https://arxiv.org/abs/1312.2572

zbMATH Keywords

cubic surfacemoduli schemecounterexample to the Hasse principle

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05) Families, moduli, classification: algebraic theory (14J10) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25)

Related Items (2)

Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme

Cites Work

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• CUBIC SURFACES WITH A GALOIS INVARIANT PAIR OF STEINER TRIHEDRA
• On the Hasse principle for cubic surfaces
• On the Conjecture for the Rational Points on a Cubic Surface

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