{"title":"On Manin's conjecture for a certain singular cubic surface","date_published":"2007-01-01T00:00:00Z","oa_version":"None","page":"1 - 50","date_created":"2018-12-11T11:45:16Z","acknowledgement":"EPSRC grant number GR/R93155/01","publisher":"Societe Mathematique de France","abstract":[{"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.","lang":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"01","author":[{"full_name":"De La Bretèche, Régis","last_name":"De La Bretèche","first_name":"Régis"},{"full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177"},{"last_name":"Derenthal","first_name":"Ulrich","full_name":"Derenthal, Ulrich"}],"citation":{"short":"R. De La Bretèche, T.D. Browning, U. Derenthal, Annales Scientifiques de l’Ecole Normale Superieure 40 (2007) 1–50.","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>.","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>","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.","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>","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>."},"status":"public","day":"01","date_updated":"2021-01-12T06:55:53Z","extern":"1","year":"2007","_id":"219","language":[{"iso":"eng"}],"publication_status":"published","volume":40,"publist_id":"7693","intvolume":"        40","issue":"1","type":"journal_article","doi":"10.1016/j.ansens.2006.12.002","publication":"Annales Scientifiques de l'Ecole Normale Superieure"}