{"publisher":"Oxford University Press","quality_controlled":0,"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1210.4010","open_access":"1"}],"month":"11","intvolume":" 108","abstract":[{"lang":"eng","text":"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."}],"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.","page":"1030 - 1078","volume":108,"doi":"10.1112/plms/pdt060","date_published":"2013-11-29T00:00:00Z","issue":"4","date_created":"2018-12-11T11:45:26Z","year":"2013","publication_status":"published","day":"29","publication":"Proceedings of the London Mathematical Society","type":"journal_article","status":"public","_id":"250","author":[{"first_name":"Régis","full_name":"de la Bretèche, Régis","last_name":"De La Bretèche"},{"full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"}],"publist_id":"7652","title":"Density of Châtelet surfaces failing the Hasse principle","date_updated":"2021-01-12T06:57:51Z","citation":{"mla":"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.","ieee":"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.","short":"R. De La Bretèche, T.D. Browning, Proceedings of the London Mathematical Society 108 (2013) 1030–1078.","apa":"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","ama":"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","chicago":"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.","ista":"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."},"extern":1}