{"doi":"10.1016/j.ansens.2006.12.002","type":"journal_article","citation":{"chicago":"De La Bretèche, Régis, Timothy D Browning, and Ulrich Derenthal. “On Manin’s Conjecture for a Certain Singular Cubic Surface.” <i>Annales Scientifiques de l’Ecole Normale Superieure</i>. Societe Mathematique de France, 2007. <a href=\"https://doi.org/10.1016/j.ansens.2006.12.002\">https://doi.org/10.1016/j.ansens.2006.12.002</a>.","apa":"De La Bretèche, R., Browning, T. D., &#38; Derenthal, U. (2007). On Manin’s conjecture for a certain singular cubic surface. <i>Annales Scientifiques de l’Ecole Normale Superieure</i>. Societe Mathematique de France. <a href=\"https://doi.org/10.1016/j.ansens.2006.12.002\">https://doi.org/10.1016/j.ansens.2006.12.002</a>","ieee":"R. De La Bretèche, T. D. Browning, and U. Derenthal, “On Manin’s conjecture for a certain singular cubic surface,” <i>Annales Scientifiques de l’Ecole Normale Superieure</i>, vol. 40, no. 1. Societe Mathematique de France, pp. 1–50, 2007.","ista":"De La Bretèche R, Browning TD, Derenthal U. 2007. On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. 40(1), 1–50.","mla":"De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Certain Singular Cubic Surface.” <i>Annales Scientifiques de l’Ecole Normale Superieure</i>, vol. 40, no. 1, Societe Mathematique de France, 2007, pp. 1–50, doi:<a href=\"https://doi.org/10.1016/j.ansens.2006.12.002\">10.1016/j.ansens.2006.12.002</a>.","short":"R. De La Bretèche, T.D. Browning, U. Derenthal, Annales Scientifiques de l’Ecole Normale Superieure 40 (2007) 1–50.","ama":"De La Bretèche R, Browning TD, Derenthal U. On Manin’s conjecture for a certain singular cubic surface. <i>Annales Scientifiques de l’Ecole Normale Superieure</i>. 2007;40(1):1-50. doi:<a href=\"https://doi.org/10.1016/j.ansens.2006.12.002\">10.1016/j.ansens.2006.12.002</a>"},"abstract":[{"lang":"eng","text":"This paper contains a proof of the Manin conjecture for the singular cubic surface S ⊂ P3 that is defined by the equation x1 x22 + x2 x02 + x33 = 0. In fact if U ⊂ S is the Zariski open subset obtained by deleting the unique line from S, and H is the usual exponential height on P3 (Q), then the height zeta function ∑x ∈ U (Q) H (x)- s is analytically continued to the half-plane R e (s) &gt; 9 / 10."}],"oa_version":"None","date_created":"2018-12-11T11:45:16Z","author":[{"last_name":"De La Bretèche","full_name":"De La Bretèche, Régis","first_name":"Régis"},{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning","full_name":"Browning, Timothy D"},{"full_name":"Derenthal, Ulrich","last_name":"Derenthal","first_name":"Ulrich"}],"volume":40,"_id":"219","date_published":"2007-01-01T00:00:00Z","day":"01","date_updated":"2021-01-12T06:55:53Z","year":"2007","publication":"Annales Scientifiques de l'Ecole Normale Superieure","status":"public","title":"On Manin's conjecture for a certain singular cubic surface","acknowledgement":"EPSRC grant number GR/R93155/01","publist_id":"7693","issue":"1","language":[{"iso":"eng"}],"publisher":"Societe Mathematique de France","month":"01","page":"1 - 50","intvolume":"        40","extern":"1","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}