# On Manin's conjecture for singular del Pezzo surfaces of degree four, II

@article{Bretche2007OnMC, title={On Manin's conjecture for singular del Pezzo surfaces of degree four, II}, author={R{\'e}gis de la Bret{\`e}che and Tim D. Browning}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, year={2007}, volume={143}, pages={579 - 605} }

Abstract This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four $X \subset \bfP^4$. In fact, if U ⊂ X is the open subset formed by deleting the lines from X, and H is the usual projective height function on $\bfP^4(\Q)$, then the height zeta function $ \sum_{x \in U(\Q)}{H(x)^{-s}} $ is analytically continued to the half-plane ℜe(s) > 17/20.

## 41 Citations

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