2 papers
math.NT2020
Control of the non-geometrically integral reductions
Chunhui Liu
In this paper, for a geometrically integral projective scheme, we will give an upper bound of the product of the norms of its non-geometrically integral reductions over an arbitrar…
math.AG2018
Explicit uniform estimate of arithmetic Hilbert-Samuel function of hypersurfaces
Chunhui Liu
In this paper, we will give an upper bound and a lower bound of the arithmetic Hilbert-Samuel function of projective hypersurfaces, which are uniform and explicit. These two bounds…