60 citations · 60 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
Optimal constant in an L^2 extension problem and a proof of a conjecture of Ohsawa
Qi'an Guan, Xiangyu Zhou
In this paper, we solve the optimal constant problem in the setting of Ohsawa's generalized extension theorem. As applications, we prove a conjecture of Ohsawa and the exte…