1 citations · 1 across the 4 of their papers we have counts for
5 papers
Remarks on Brauer-Manin obstruction for Weil restrictions
Sheng Chen, Kai Huang
Given a finite extension of number fields and a smooth quasi-projective variety over . If the abelianized fundamental group of is trivial, we prove that there is a…
Weak approximation of symmetric products and norm varieties
Sheng Chen, Ziyang Zhang
Let k be a number field. For a variety X over k that satisfies weak approximation with Brauer-Manin obstruction, we study the same property for smooth projective models of its symm…
Arithmetic purity of strong approximation for complete toric varieties
Sheng Chen
In this article, we establish the arithmetic purity of strong approximation for smooth loci of weighted projective spaces. By using this result and the descent method, we also prov…
Integral points on twisted Markoff surfaces
Sheng Chen
We study the integral Hasse principle for affine varieties of the form ax^2+y^2+z^2-xyz=m ,using Brauer-Manin obstruction, and we produce examples whose Brauer groups include 4-tor…
A Survey of directed graphs invariants
Sheng Chen, Yilong Zhang
In this paper, various kinds of invariants of directed graphs are summarized. In the first topic, the invariant w(G) for a directed graph G is introduced, which is primarily define…