In this paper the height zeta function associated to a certain singular del Pezzo surface of degree four is studied. If U denotes the open subset formed by deleting the unique line from this surface, then an asymptotic formula for the number of rational points of bounded height on U is established which verifies the Manin conjecture.
Bibliographical notePublisher: Dept of Mathematics, University of Michigan
Browning, TD., & de la Bretèche, R. (2007). On Manin's conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal, 55 (1), 51 - 80. https://doi.org/10.1307/mmj/1177681985