1 citations · 4 across the 6 of their papers we have counts for
6 papers
On the global determinant method
Chunhui Liu
In this paper, we build the global determinant method of Salberger by Arakelov geometry explicitly. As an application, we study the dependence on the degree of the number of ration…
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…
Determinant method and the pseudo-effective threshold
Chunhui Liu
In this paper, we will give an upper bound of the number of auxiliary hypersurfaces in the determinant method, which reformulates an unpublished work of Salberger by Arakelov geome…
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…
Counting Multiplicities in a Hypersurface over a Number Field
Hao Wen, Chunhui Liu
We fix a counting function of multiplicities of algebraic points in a projective hypersurface over a number field, and take the sum over all algebraic points of bounded height and…
Fibres non réduites d'un schéma arithmétique
Chunhui Liu
For a reduced projective scheme over the ring of integers of a number field, the set of places over which the fibres of the scheme are not reduced is a finite set. We give an expli…