On the rational points in conics of a cubic surfac
Algebraic Geometry
2026-01-19 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.2601.10895,
title = {On the rational points in conics of a cubic surfac},
author = {Chunhui Liu},
journal= {arXiv preprint arXiv:2601.10895},
year = {2026}
}
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55 pages