[{"article_type":"original","publication_status":"published","oa":1,"title":"On a certain non-split cubic surface","month":"12","_id":"6620","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","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"}],"status":"public","citation":{"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>","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>","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.","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>.","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>."},"intvolume":"        62","day":"01","type":"journal_article","language":[{"iso":"eng"}],"arxiv":1,"publisher":"Springer","doi":"10.1007/s11425-018-9543-8","author":[{"last_name":"De La Bretèche","first_name":"Régis","full_name":"De La Bretèche, Régis"},{"id":"44DDECBC-F248-11E8-B48F-1D18A9856A87","last_name":"Destagnol","first_name":"Kevin N","full_name":"Destagnol, Kevin N"},{"full_name":"Liu, Jianya","first_name":"Jianya","last_name":"Liu"},{"first_name":"Jie","full_name":"Wu, Jie","last_name":"Wu"},{"first_name":"Yongqiang","full_name":"Zhao, Yongqiang","last_name":"Zhao"}],"issue":"12","publication":"Science China Mathematics","date_published":"2019-12-01T00:00:00Z","oa_version":"Preprint","external_id":{"arxiv":["1709.09476"],"isi":["000509102200001"]},"isi":1,"volume":62,"date_updated":"2023-08-28T12:32:20Z","date_created":"2019-07-07T21:59:25Z","year":"2019","page":"2435–2446","quality_controlled":"1","main_file_link":[{"url":"https://arxiv.org/abs/1709.09476","open_access":"1"}],"scopus_import":"1","publication_identifier":{"issn":["16747283"]},"article_processing_charge":"No"}]