2 papers
math.AG2026
Arithmetic Fujita approximation over adelic curves
Chunhui Liu
In this paper, we will prove an analogue of Fujita's approximation theorem under the framework of Arakelov theory over adelic curves, which proves a conjecture of Huayi Chen and At…
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…