Dasheng Wei

activity

20042026

most citedUniversal torsors and values of quadratic polynomials represented by norms

9 citations · 55 across the 21 of their papers we have counts for

collaborators

23 papers

math.AG2026

Weak approximation for Campana points on projective spaces

Dasheng Wei

We prove weak approximation for Campana points on the projective line with log Fano boundary, and on projective $n$ -space with either $n + 3$ hyperplanes in general position or two t…

math.AG2026

Arithmetic purity of strong approximation for toric varieties with constant global sections

Dasheng Wei, Fei Xu, Yi Zhu

Let $X$ be a smooth toric variety over a number field $k$ such that the global sections of $X$ are constant. We show that $U (k)$ is dense in $U (A_{k})^{Br_{1} (U)}$ for…

math.AG2024

Strong approximation for the intersection of two quadrics

Dasheng Wei, Jie Xu, Yi Zhu

We study strong approximation for the intersection of two affine quadrics. As its application, we prove the fibration method for weak approximation over number fields of rank four…

math.AG2022

The unramified Brauer groups of normic bundles

Dasheng Wei

We produce a partial compactification of the variety given by P(t)=N_{K/k}(\mathbf z) whose Brauer group coincides with the unramified Brauer group, where K is an étale k-algebra a…

math.NT2022

The 3-rd unramified cohomology for norm one torus

Hanqing Long, Dasheng Wei

For an algebraic torus $S$ , Blinstein and Merkurjev have given an estimate of $3$ -th unramified cohomology $H ˉ_{n r}^{3} (F (S), Q / Z (2))$ obtained from a flasque res…

math.NT2022★ 1 cited

On the number of certain Galois extensions of local fields

Chungan Ji, Dasheng Wei

In this paper, we will calculate the number of Galois extensions of local fields with Galois group A_n and S_n.