# ON A CONSTANT ARISING IN MANIN'S CONJECTURE FOR DEL PEZZO SURFACES

@article{Derenthal2007ONAC,
title={ON A CONSTANT ARISING IN MANIN'S CONJECTURE FOR DEL PEZZO SURFACES},
author={U. Derenthal},
journal={Mathematical Research Letters},
year={2007},
volume={14},
pages={481-489}
}
• U. Derenthal
• Published 2007
• Mathematics
• Mathematical Research Letters
• For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of $\alpha$, appearing in the leading constant as predicted by Peyre of Manin's conjecture on the number of rational points of bounded height on the surface. Furthermore, we calculate $\alpha$ for all singular Del Pezzo surfaces of degree $\ge 3$.
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