{"external_id":{"isi":["000509102200001"],"arxiv":["1709.09476"]},"author":[{"first_name":"Régis","last_name":"De La Bretèche","full_name":"De La Bretèche, Régis"},{"first_name":"Kevin N","full_name":"Destagnol, Kevin N","last_name":"Destagnol","id":"44DDECBC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jianya","last_name":"Liu","full_name":"Liu, Jianya"},{"first_name":"Jie","last_name":"Wu","full_name":"Wu, Jie"},{"first_name":"Yongqiang","full_name":"Zhao, Yongqiang","last_name":"Zhao"}],"doi":"10.1007/s11425-018-9543-8","_id":"6620","volume":62,"date_published":"2019-12-01T00:00:00Z","publication_status":"published","day":"01","publication":"Science China Mathematics","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","page":"2435–2446","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1709.09476"}],"intvolume":"        62","language":[{"iso":"eng"}],"quality_controlled":"1","article_processing_charge":"No","isi":1,"scopus_import":"1","month":"12","date_updated":"2023-08-28T12:32:20Z","title":"On a certain non-split cubic surface","citation":{"ista":"De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. 2019. On a certain non-split cubic surface. Science China Mathematics. 62(12), 2435–2446.","short":"R. De La Bretèche, K.N. Destagnol, J. Liu, J. Wu, Y. Zhao, Science China Mathematics 62 (2019) 2435–2446.","ama":"De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. On a certain non-split cubic surface. <i>Science China Mathematics</i>. 2019;62(12):2435–2446. doi:<a href=\"https://doi.org/10.1007/s11425-018-9543-8\">10.1007/s11425-018-9543-8</a>","ieee":"R. De La Bretèche, K. N. Destagnol, J. Liu, J. Wu, and Y. Zhao, “On a certain non-split cubic surface,” <i>Science China Mathematics</i>, vol. 62, no. 12. Springer, pp. 2435–2446, 2019.","mla":"De La Bretèche, Régis, et al. “On a Certain Non-Split Cubic Surface.” <i>Science China Mathematics</i>, vol. 62, no. 12, Springer, 2019, pp. 2435–2446, doi:<a href=\"https://doi.org/10.1007/s11425-018-9543-8\">10.1007/s11425-018-9543-8</a>.","chicago":"De La Bretèche, Régis, Kevin N Destagnol, Jianya Liu, Jie Wu, and Yongqiang Zhao. “On a Certain Non-Split Cubic Surface.” <i>Science China Mathematics</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s11425-018-9543-8\">https://doi.org/10.1007/s11425-018-9543-8</a>.","apa":"De La Bretèche, R., Destagnol, K. N., Liu, J., Wu, J., &#38; Zhao, Y. (2019). On a certain non-split cubic surface. <i>Science China Mathematics</i>. Springer. <a href=\"https://doi.org/10.1007/s11425-018-9543-8\">https://doi.org/10.1007/s11425-018-9543-8</a>"},"type":"journal_article","date_created":"2019-07-07T21:59:25Z","article_type":"original","status":"public","oa_version":"Preprint","department":[{"_id":"TiBr"}],"abstract":[{"lang":"eng","text":"This paper establishes an asymptotic formula with a power-saving error term for the number of rational points of bounded height on the singular cubic surface of ℙ3ℚ given by the following equation 𝑥0(𝑥21+𝑥22)−𝑥33=0 in agreement with the Manin-Peyre conjectures.\r\n"}],"year":"2019","publication_identifier":{"issn":["16747283"]},"issue":"12","publisher":"Springer"}