Work

On Manin's conjecture for a certain singular cubic surface

Year: 2005

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0509370

Authors: de la Breteche, R., Browning, T. D., Derenthal, U.

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4394652357

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