3 papers
math.AG2026
Arithmetic purity of strong approximation for toric varieties with constant global sections
Dasheng Wei, Fei Xu, Yi Zhu
Let be a smooth toric variety over a number field such that the global sections of are constant. We show that is dense in 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.AG2018
The arithmetic puncturing problem and integral points
David McKinnon, Yi Zhu
In this paper, we provide evidence to support a positive answer to a question of Hassett and Tschinkel. In particular, if an algebraic variety V has a dense set of rational points,…