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We introduce a notion of volume of a normal isolated singularity that generalizes Wahl's characteristic number of surface singularities to arbitrary dimensions. We prove a basic monotonicity property...
Manin's conjecture for a quartic del Pezzo surface with A_3 singularity and four lines
Manin's conjecture quartic del Pezzo surface with A_3 singularity four lines
2010/11/18
We give a proof of 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.