6 citations · 20 across the 17 of their papers we have counts for
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Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics
Yang Cao, Zhizhong Huang
We establish the Hardy-Littlewood property (à la Borovoi-Rudnick) for Zariski open subsets in affine quadrics of the form , where is a non-degenerate integ…
Arithmetic purity of strong approximation for semi-simple simply connected groups
Yang Cao, Zhizhong Huang
In this article we establish the arithmetic purity of strong approximation for certain semi-simple simply connected -simple linear algebraic groups and their homogeneous spaces…
Strong approximation for a family of norm varieties
Yang Cao, Dasheng Wei, Fei Xu
We study strong approximation of the equation N_{L/k}(x) = \prod_{i=1}^n p_i(t) where L/k is a finite extension of number fields and p_i(t)'s are distinct irreducible polynomials o…
Comparing descent obstruction and Brauer-Manin obstruction for open varieties
Yang Cao, Cyril Demarche, Fei Xu
We provide a relation between Brauer-Manin obstruction and descent obstruction for torsors over open varieties under a connected linear algebraic group or a group of multiplicative…
Strong approximation with Brauer-Manin obstruction for groupic varieties
Yang Cao, Fei Xu
Strong approximation with Brauer-Manin obstruction is established for smooth varieties containing a connected linear algebraic group with a compatible action.
Strong approximation with Brauer-Manin obstruction for toric varieties
Yang Cao, Fei Xu
For smooth open toric varieties, we establish strong approximation off infinity with Brauer-Manin obstruction.