@article{219, abstract = {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) > 9 / 10.}, author = {De La Bretèche, Régis and Browning, Timothy D and Derenthal, Ulrich}, journal = {Annales Scientifiques de l'Ecole Normale Superieure}, number = {1}, pages = {1 -- 50}, publisher = {Societe Mathematique de France}, title = {{On Manin's conjecture for a certain singular cubic surface}}, doi = {10.1016/j.ansens.2006.12.002}, volume = {40}, year = {2007}, }