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

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

2010-11-10

arxiv.org/abs/1011.2470v3

Mathematics

Number Theory

Final version

Scientific paper

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.

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