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}
}`
• Published 4 December 2004
• Mathematics
• Mathematical Proceedings of the Cambridge Philosophical Society
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.

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