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