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20112022
most citedThe local-global exact sequence for Chow groups of zero-cycles

3 citations · 6 across the 10 of their papers we have counts for

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math.AG2022

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…

math.AG2021

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…

math.AG2020

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…

math.AG2017

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…

math.AG2012

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…

math.AG2011★ 2 cited

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…