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

Published 10 Nov 2010 in math.NT and math.AG | (1011.2470v3)

Abstract: 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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