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arXiv:1011.2470 [math.NT]AbstractReferencesReviewsResources

Manin's conjecture for a quartic del Pezzo surface with A_3 singularity and four lines

Pierre Le Boudec

Published 2010-11-10, updated 2011-11-21Version 3

We establish Manin's conjecture for a quartic del Pezzo surface split over Q and having a singularity of type A_3 and containing exactly four lines. It is the first example of split singular quartic del Pezzo surface whose universal torsor is not a hypersurface for which Manin's conjecture is proved.

Comments: Final version
Journal: Monatsh. Math. 167 (2012), no. 3-4, 481-502
Categories: math.NT, math.AG
Subjects: 11D45, 14G05
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