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

, and . Adv. Math., (2015)

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On the arithmetic of the discriminant for cubic surfaces., and . J. Ramanujan Math. Soc., 27 (3): 355--373 (2012)The discriminant of a cubic surface., and . Geom. Dedicata, (2012)On the smallest point on a diagonal quartic threefold., and . J. Ramanujan Math. Soc., 22 (2): 189-204 (2007)New sums of three cubes., and . Math. Comput., 78 (266): 1227--1230 (2009)Cubic surfaces with a Galois invariant pair of Steiner trihedra., and . Int. J. Number Theory, 7 (4): 947--970 (2011)On the order three Brauer classes for cubic surfaces., and . Cent. Eur. J. Math., 10 (3): 903--926 (2012)Cubic surfaces with a Galois invariant double-six., and . Cent. Eur. J. Math., 8 (4): 646--661 (2010)$K3$ surfaces of Picard rank one which are double covers of the projective plane., and . Higher-dimensional geometry over finite fields. Proceedings of the NATO Advanced Study Institute held at the University of Göttingen, Göttingen, Germany, June 25--July 6, 2007, Amsterdam: IOS Press, (2008)Experiments with the transcendental Brauer-Manin obstruction., and . ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9--13, 2012, Berkeley, CA: Mathematical Sciences Publishers (MSP), (2013)On the computation of the Picard group for $K3$ surfaces., and . Math. Proc. Camb. Philos. Soc., 151 (2): 263--270 (2011)