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arXiv · 2601.10895

On the rational points in conics of a cubic surfac

Chunhui Liu
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Abstract

In this paper, we give a uniform upper bound on the rational points of bounded height provided by conics in a cubic surface. For this target, we give a generalized version of the global determinant method of Salberger by Arakelov geometry.

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Chunhui Liu. 2026-01-15. On the rational points in conics of a cubic surfac. https://arxiv.org/abs/2601.10895

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