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arXiv · 1312.2572

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

Andreas-Stephan Elsenhans·Jörg Jahnel
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Abstract

We construct new examples of cubic surfaces, for which the Hasse principle fails. Thereby, we show that, over every number field, the counterexamples to the Hasse principle are Zariski dense in the moduli scheme of non-singular cubic surfaces.

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Andreas-Stephan Elsenhans, Jörg Jahnel. 2013-12-09. Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme. https://arxiv.org/abs/1312.2572

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