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math.AG2026
Unramified Brauer groups of symmetric products and the Brauer-Manin obstructions
Yongqi Liang, Xingyu Liu, Hui Zhang
This article focuses on smooth, projective, and geometrically integral varieties defined over a number field with torsion-free geometric Picard groups. We establish an isom…
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…