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arXiv · 1709.09476

On a certain non-split cubic surface

Régis de la Bretèche·Kevin Destagnol·Jianya Liu·Jie Wu·Yongqiang Zhao
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Abstract

In this note, we establish an asymptotic formula for the number of rational points of bounded height on the singular cubic surface $$ x_0(x_1^2 + x_2^2)=x_3^3 $$ with a power-saving error term, which verifies the Manin-Peyre conjectures for this surface.

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Régis de la Bretèche, Kevin Destagnol, Jianya Liu, Jie Wu, Yongqiang Zhao. 2017-09-27. On a certain non-split cubic surface. https://arxiv.org/abs/1709.09476

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