17 citations · 22 across the 7 of their papers we have counts for
7 papers
Rational curves and the Hilbert Property on Jacobian Kummer varieties
Damián Gvirtz-Chen, Zhizhong Huang
A conjecture by Corvaja and Zannier predicts that smooth, projective, simply connected varieties over a number field with Zariski dense set of rational points have the Hilbert Prop…
Density of rational points on some quadric bundle threefolds
Dante Bonolis, Tim Browning, Zhizhong Huang
We prove the Manin-Peyre conjecture for the number of rational points of bounded height outside of a thin subset on a family of Fano threefolds of bidegree (1,2). The proof uses a…
Equidistribution of rational points and the geometric sieve for toric varieties
Zhizhong Huang
We prove the Manin--Peyre principle about the equidistribution of rational points on smooth proper split toric varieties. That is, rational points of bounded anticanonical height o…
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…
Rational points on elliptic K3 surfaces of quadratic twist type
Zhizhong Huang
In studying rational points on elliptic K3 surfaces of the form , where are cubic or quartic polynomials (without repeated roots), we introduce a condition on t…
Fano threefolds as equivariant compactifications of the vector group
Zhizhong Huang, Pedro Montero
In this article, we determine all equivariant compactifications of the three-dimensional vector group which are smooth Fano threefolds with Picard number greater o…