On Manin's conjecture for a certain singular cubic surface

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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.
48 pages

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Number Theory, Algebraic Geometry, 11G35 (14G05, 14G10)

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http://salesiana.dossiersoluciones.com/handle/123456789/123316

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509370
 http://arxiv.org/abs/math/0509370

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arXiv