4 papers
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…
Abelianized Descent Obstruction for 0-Cycles
Hui Zhang
Classical descent theory of Colliot-Thélène and Sansuc for rational points tells that, over a smooth variety , the algebraic Brauer--Manin subset equals the descent obstruction…
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…
On compatible Hom-Lie triple systems
Wen Teng, Fengshan Long, Hui Zhang +1
In this paper, we consider compatible Hom-Lie triple systems. Compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie…