19 citations · 56 across the 14 of their papers we have counts for
14 papers
Arithmetic purity of strong approximation for toric varieties with constant global sections
Dasheng Wei, Fei Xu, Yi Zhu
Let be a smooth toric variety over a number field such that the global sections of are constant. We show that is dense in for…
Strong approximation for the intersection of two quadrics
Dasheng Wei, Jie Xu, Yi Zhu
We study strong approximation for the intersection of two affine quadrics. As its application, we prove the fibration method for weak approximation over number fields of rank four…
The arithmetic puncturing problem and integral points
David McKinnon, Yi Zhu
In this paper, we provide evidence to support a positive answer to a question of Hassett and Tschinkel. In particular, if an algebraic variety V has a dense set of rational points,…
curves on log K3 surfaces
Xi Chen, Yi Zhu
In this paper, we study curves on log K3 surfaces. We classify all genuine log K3 surfaces of type II which admits countably infinite curves.
-equivalence of zero cycles on surfaces II
Qizheng Yin, Yi Zhu
Using recent developments in the theory of mixed motives, we prove that the log Bloch conjecture holds for an open smooth complex surface if the Bloch conjecture holds for its comp…
Strong approximation over function fields
Qile Chen, Yi Zhu
By studying -curves on varieties, we propose a geometric approach to strong approximation problem over function fields of complex curves. We prove that strong approxi…
-equivalence of zero cycles on surfaces
Yi Zhu
In this paper, we study -equivalence classes of zero cycles on open complex algebraic surfaces. We prove the logarithmic version of Mumford's theorem on zero cycles a…
Log rationally connected surfaces
Yi Zhu
In this paper, combining the works of Miyanishi-Tsunoda and Keel-McKernan, we prove the log Castelnuovo's rationality criterion for smooth quasiprojective surfaces over complex num…
-connected varieties over non-closed fields
Qile Chen, Yi Zhu
In this paper, we proved two results regarding the arithmetics of separably -connected varieties of rank one. First we proved over a large field, there is an $\mathbb…
On the irreducibility of the space of genus zero stable log maps to wonderful compactifications
Qile Chen, Yi Zhu
In this paper, we prove the moduli spaces of genus zero stable log maps to a large class of wonderful compactifications are irreducible and unirational.
-curves on log smooth varieties
Qile Chen, Yi Zhu
In this paper, we study -connected varieties from log geometry point of view, and prove a criterion for -connectedness. As applications, we provide many…
Very free curves on Fano Complete Intersections
Qile Chen, Yi Zhu
In this paper, we show that general Fano complete intersections over an algebraically closed field of arbitrary characteristics are separably rationally connected. Our proof also i…
Fano Hypersurfaces in Positive Characteristic
Yi Zhu
We prove that a general Fano hypersurface in a projective space over an algebraically closed field of arbitrary characteristic is separably rationally connected.
Homogeneous Fibrations over Curves
Yi Zhu
By studying the theory of rational curves, we introduce a notion of rational simple connectedness for projective homogeneous spaces. As an application, we prove that over a functio…