Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme
Algebraic Geometry
2013-12-10 v1 Number Theory
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.
Cite
@article{arxiv.1312.2572,
title = {Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme},
author = {Andreas-Stephan Elsenhans and Jörg Jahnel},
journal= {arXiv preprint arXiv:1312.2572},
year = {2013}
}