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 $U({\mathbf{A}}_k{)}^{{\text{Br}}_1(U)}$ for…