Jing Zhang

activity

20032019

most citedThere Exist Nontrivial Threefolds with Vanishing Hodge Cohomology

6 citations · 15 across the 9 of their papers we have counts for

collaborators

9 papers

math.DS2019

Almost global solutions to two classes of 1-d Hamiltonian Derivative Nonlinear Schrödinger equations

Jing Zhang

Consider two kinds of 1-d Hamiltonian Derivative Nonlinear Schrödinger (DNLS) equations with respect to different symplectic forms under periodic boundary conditions. The nonlinear…

math.AG2009★ 2 cited

Bertini Type Theorems

Jing Zhang

Let $X$ be a smooth irreducible projective variety of dimension at least 2 over an algebraically closed field of characteristic 0 in the projective space $P^{n}$ . Bertini'…

math.AG2007

Affine Algebraic Varieties

Jing Zhang

In this paper, we give new criteria for affineness of a variety defined over $C$ . Our main result is that an irreducible algebraic variety $Y$ (may be singular) of dimension…

math.AG2006

Hodge Cohomology Criteria For Affine Varieties

Jing Zhang

We give several new criteria for a quasi-projective variety to be affine. In particular, we prove that an algebraic manifold $Y$ with dimension $n$ is affine if and only if $H^i(Y,…

math.AG2006★ 1 cited

On threefolds without nonconstant regular functions

Jing Zhang

We consider smooth threefolds $Y$ defined over $C$ with $H^{i} (Y, Ω_{Y}^{j}) = 0$ for all $j \geq 0$ , $i > 0$ . Let $X$ be a smooth projective threefold containing $Y$ and $D$ be the bou…

math.AG2006★ 3 cited

On the $D$ -dimension of a certain type of threefolds

Jing Zhang

Let $Y$ be an algebraic manifold of dimension 3 with $H^{i} (Y, Ω_{Y}^{j}) = 0$ for all $j \geq 0$ , $i > 0$ and $h^{0} (Y, O_{Y}) > 1$ . Let $X$ be a smooth completion of $Y$ such that t…

Almost global solutions to two classes of 1-d Hamiltonian Derivative Nonlinear Schrödinger equations

Bertini Type Theorems

Affine Algebraic Varieties

Hodge Cohomology Criteria For Affine Varieties

On threefolds without nonconstant regular functions

On the D-dimension of a certain type of threefolds

On the $D$ -dimension of a certain type of threefolds