Density of Châtelet surfaces failing the Hasse principle
De La Bretèche R, Browning TD. 2013. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 108(4), 1030–1078.
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Author
de la Bretèche, Régis;
Browning, Timothy DISTA 
Abstract
Châtelet surfaces provide a rich source of geometrically rational surfaces that do not always satisfy the Hasse principle. Restricting attention to a special class of Châtelet surfaces, we investigate the frequency that such counter-examples arise over the rational numbers.
Publishing Year
Date Published
2013-11-29
Journal Title
Proceedings of the London Mathematical Society
Acknowledgement
While working on this paper, the first author was supported by an IUF Junior and ANR while the second author was supported by ERC grant 306457.
Volume
108
Issue
4
Page
1030 - 1078
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Cite this
De La Bretèche R, Browning TD. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 2013;108(4):1030-1078. doi:10.1112/plms/pdt060
De La Bretèche, R., & Browning, T. D. (2013). Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. Oxford University Press. https://doi.org/10.1112/plms/pdt060
De La Bretèche, Régis, and Timothy D Browning. “Density of Châtelet Surfaces Failing the Hasse Principle.” Proceedings of the London Mathematical Society. Oxford University Press, 2013. https://doi.org/10.1112/plms/pdt060.
R. De La Bretèche and T. D. Browning, “Density of Châtelet surfaces failing the Hasse principle,” Proceedings of the London Mathematical Society, vol. 108, no. 4. Oxford University Press, pp. 1030–1078, 2013.
De La Bretèche R, Browning TD. 2013. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 108(4), 1030–1078.
De La Bretèche, Régis, and Timothy D. Browning. “Density of Châtelet Surfaces Failing the Hasse Principle.” Proceedings of the London Mathematical Society, vol. 108, no. 4, Oxford University Press, 2013, pp. 1030–78, doi:10.1112/plms/pdt060.
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