2 papers
math.AG2026
On the rational points in conics of a cubic surfac
Chunhui Liu
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 g…
math.AG2024
Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces
Chunhui Liu
In this article, we give an explicit and uniform lower bound of the arithmetic Hilbert-Samuel function of projective hypersurfaces, which has the optimal dominant term. As an appli…