Zhiwei Wang

activity

20172022

most citedPositivity of holomorphic vector bundles in terms of

L^{p}

-conditions of

\partial ˉ

10 citations · 17 across the 7 of their papers we have counts for

collaborators

10 papers

math.CV2022

Linear isometric invariants of bounded domains

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

We introduce two new conditions for bounded domains, namely $A^{p}$ -completeness and boundary blow down type, and show that, for two bounded domains $D_{1}$ and $D_{2}$ that are $A^{p}$ -co…

math.CV2021

On the extension of Kähler currents on compact Kähler manifolds: holomorphic retraction case

Jiafu Ning, Zhiwei Wang, Xiangyu Zhou

In the present paper, we show that given a compact Kähler manifold $(X, ω)$ with a Kähler metric $ω$ , and a complex submanifold $V \subset X$ of positive dimension, if $V$ has a holo…

math.CV2020

On the extensions of Kähler currents on compact Kähler manifolds

Zhiwei Wang, Xiangyu Zhou

Let $(X, ω)$ be a compact Kähler manifold with a Kähler form $ω$ of complex dimension $n$ , and $V \subset X$ is a compact complex submanifold of positive dimension $k < n$ . Suppose tha…

math.CV2020★ 10 cited

Positivity of holomorphic vector bundles in terms of $L^{p}$ -conditions of $\partial ˉ$

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

We study the positivity properties of Hermitian (or even Finsler) holomorphic vector bundles in terms of $L^{p}$ -estimates of $\partial ˉ$ and $L^{p}$ -extensions of holomorphic objec…

math.CV2019★ 2 cited

Asymptotic estimate of cohomology groups valued in pseudo-effective line bundles

Zhiwei Wang, Xiangyu Zhou

In this paper, we study questions of Demailly and Matsumura on the asymptotic behavior of dimensions of cohomology groups for high tensor powers of (nef) pseudo-effective line bund…

math.CV2019★ 3 cited

Linear invariants of complex manifolds and their plurisubharmonic variations

Fusheng Deng, Zhiwei Wang, Liyou Zhang +1

For a bounded domain $D$ and a real number $p > 0$ , we denote by $A^{p} (D)$ the space of $L^{p}$ integrable holomorphic functions on $D$ , equipped with the $L^{p}$ - pseudonorm. We prove th…