3 citations · 6 across the 10 of their papers we have counts for
10 papers
Étale Brauer-Manin obstruction for Weil restrictions
Yang Cao, Yongqi Liang
The étale Brauer\textendash Manin obstruction is equivalent to each other among Weil restrictions of an arbitrarily given quasi-projective algebraic variety defined over a number f…
Arithmetic of Châtelet surface bundles revisited
Guang Hu, Yongqi Liang
We study arithmetic of the algebraic varieties defined over number fields by applying Lagrange interpolation to fibrations. Assuming the finiteness of the Tate-Shafarevich group of…
Compatibility of weak approximation for zero-cycles on products of varieties
Yongqi Liang
Zero-cycles are conjectured to satisfy weak approximation with Brauer-Manin obstruction for proper smooth varieties defined over number fields. Roughly speaking, we prove that the…
Non-invariance of weak approximation properties under extension of the ground field
Yongqi Liang
For rational points on algebraic varieties defined over a number field , we study the behavior of the property of weak approximation with Brauer-Manin obstruction under extensio…
Arithmetic purity of strong approximation for homogeneous spaces
Yang Cao, Yongqi Liang, Fei Xu
We prove that any open subset of a semi-simple simply connected quasi-split linear algebraic group with over a number field satisfies stro…
Local-global principle for 0-cycles on fibrations over rationally connected bases
Yongqi Liang
We study the Brauer-Manin obstruction to the Hasse principle and to weak approximation for 0-cycles on algebraic varieties that possess a fibration structure. The exactness of the…
Local-global principle for certain biquadratic normic bundles
Yang Cao, Yongqi Liang
Let be a proper smooth variety having an affine open subset defined by the normic equation over a number field . We…
Towards the Brauer-Manin obstruction on varieties fibred over the projective line
Yongqi Liang
Recently Dasheng Wei proved that the Brauer-Manin obstruction is the only obstruction to the Hasse principle for 0-cycles of degree 1 on some fibrations over the projective line de…
The local-global exact sequence for Chow groups of zero-cycles
Yongqi Liang
A local-global sequence for Chow groups of zero-cycles involving Brauer groups has been conjectured to be exact for all proper smooth algebraic varieties. We apply existing methods…
Arithmetic of 0-cycles on varieties defined over number fields
Yongqi Liang
Let be a rationally connected algebraic variety, defined over a number field . We find a relation between the arithmetic of rational points on and the arithmetic of zero…