2 papers
math.NT2025
Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle
Yongqi Liang, Yufan Liu
On varieties defined over number fields, we consider obstructions to the Hasse principle given by subgroups of their Brauer groups. Given an arbitrary pair of non-zero finite abeli…
math.AG2025
Product of Brauer--Manin obstruction for 0-cycles over number fields and function fields
Diego Izquierdo, Yongqi Liang, Hui Zhang
It is conjectured that the Brauer--Manin obstruction is expected to control the existence of 0-cycles of degree 1 on smooth proper varieties over number fields. In this paper, we p…