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On Manin's conjecture for a certain singular cubic surface

R. de la Breteche·T. D. Browning·U. Derenthal
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Abstract

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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R. de la Breteche, T. D. Browning, U. Derenthal. 2007-02-06. On Manin's conjecture for a certain singular cubic surface. https://arxiv.org/abs/math/0509370

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