{"day":"29","type":"journal_article","date_updated":"2024-03-05T11:49:27Z","article_processing_charge":"No","month":"11","issue":"3","extern":"1","publication_status":"published","date_published":"2017-11-29T00:00:00Z","main_file_link":[{"url":"https://arxiv.org/abs/1701.00525","open_access":"1"}],"abstract":[{"lang":"eng","text":"Building on recent work of Bhargava, Elkies and Schnidman and of Kriz and Li, we produce infinitely many smooth cubic surfaces defined over the field of rational numbers that contain rational points."}],"date_created":"2018-12-11T11:45:31Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","oa":1,"publisher":"Cambridge University Press","status":"public","quality_controlled":"1","title":"Many cubic surfaces contain rational points","author":[{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D","last_name":"Browning","first_name":"Timothy D"}],"publication":"Mathematika","page":"818 - 839","doi":"10.1112/S0025579317000195","publication_identifier":{"issn":["0025-5793"]},"external_id":{"arxiv":["1701.00525"]},"citation":{"ama":"Browning TD. Many cubic surfaces contain rational points. <i>Mathematika</i>. 2017;63(3):818-839. doi:<a href=\"https://doi.org/10.1112/S0025579317000195\">10.1112/S0025579317000195</a>","apa":"Browning, T. D. (2017). Many cubic surfaces contain rational points. <i>Mathematika</i>. Cambridge University Press. <a href=\"https://doi.org/10.1112/S0025579317000195\">https://doi.org/10.1112/S0025579317000195</a>","chicago":"Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” <i>Mathematika</i>. Cambridge University Press, 2017. <a href=\"https://doi.org/10.1112/S0025579317000195\">https://doi.org/10.1112/S0025579317000195</a>.","ista":"Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika. 63(3), 818–839.","short":"T.D. Browning, Mathematika 63 (2017) 818–839.","mla":"Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” <i>Mathematika</i>, vol. 63, no. 3, Cambridge University Press, 2017, pp. 818–39, doi:<a href=\"https://doi.org/10.1112/S0025579317000195\">10.1112/S0025579317000195</a>.","ieee":"T. D. Browning, “Many cubic surfaces contain rational points,” <i>Mathematika</i>, vol. 63, no. 3. Cambridge University Press, pp. 818–839, 2017."},"article_type":"original","_id":"267","language":[{"iso":"eng"}],"volume":63,"publist_id":"7635","intvolume":"        63","year":"2017","acknowledgement":"While working on this paper the author was supported by ERC grant 306457."}