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math.NT2021★ 1 cited
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…
math.NT2020★ 1 cited
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.NT2019★ 1 cited
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we will give an upper bound of the number of auxiliary hypersurfaces in the determinant method, which reformulates an unpublished work of Salberger by Arakelov geome…