95 citations · 351 across the 25 of their papers we have counts for
26 papers
Degenerate complex Monge-Amp\` ere type equations on compact Hermitian manifolds and applications
Yinji Li, Zhiwei Wang, Xiangyu Zhou
We show the existence and uniqueness of bounded solutions to the degenerate complex Monge-Ampère type equations on compact Hermitian manifolds. We also study the asymptotics of the…
Linear isometric invariants of bounded domains
Fusheng Deng, Jiafu Ning, Zhiwei Wang +1
We introduce two new conditions for bounded domains, namely -completeness and boundary blow down type, and show that, for two bounded domains and that are -co…
On a Bogomolov type vanishing theorem
Zhi Li, Xiangkui Meng, Jiafu Ning +2
Let be a compact Kähler manifold and be a pseudoeffective line bundle, such that the curvature in the sense of currents. The main result o…
Optimal Extensions of Openness Type
Wang Xu, Xiangyu Zhou
We study the following optimal extension problem of openness type: given a complex manifold , a closed subvariety and a holomorphic vector bundle $E\rightarro…
Multiplier Submodule Sheaves and a problem of Lempert
Zhuo Liu, Bo Xiao, Hui Yang +1
In this article, we establish an extension theorem for Nakano semi-positive singular Hermitian metrics on holomorphic vector bundles, and the strong openness and stability pr…
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 with a Kähler metric , and a complex submanifold of positive dimension, if has a holo…