Manin's conjecture for a quartic del Pezzo surface with A_4 singularity
The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type A_4.
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arXiv subjects
U. Derenthal
Publications and source records attributed to U. Derenthal.
Manin's conjecture for a cubic surface with D_5 singularity
The Manin conjecture is established for a split singular cubic surface in P^3, with singularity type D_5.
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On Manin's conjecture for a certain singular cubic surface
Let U denote the open subset formed by deleting the unique line from the singular cubic surface x_1x_2^2+x_2x_0^2+x_3^3=0. In this paper an asymptotic formula is obtained for the number of rational points on U of bounded height, which thereby verifies the Manin conjecture for this particular surface.
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