5 papers
On the Range of a class of Complex Monge-Ampère operators on compact Hermitian manifolds
Yinji Li, Zhiwei Wang, Xiangyu Zhou
Let be a compact Hermitian manifold of complex dimension . Let be a smooth real closed form such that there exists a function $ρ\in \mbox{PSH}(X,β)\cap L^{\i…
A note on Demailly's transcendental Morse inequalities conjecture
Yinji Li, Zhiwei Wang, Xiangyu Zhou
Let be an -dimensional compact Hermitian manifold with a pluriclosed Hermitian metric, i.e. . Let be two nef clas…
Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds
Fusheng Deng, Jiafu Ning, Zhiwei Wang +1
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a se…
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…
Invariance of plurigenera for generalized polarized pairs with abundant nef parts
Zhan Li, Zhiwei Wang
We show the invariance of plurigenera for generalized polarized pairs with abundant nef parts and generalized canonical singularities. This is obtained by investigating a type of n…