Zhiwei Wang

activity

20222024

collaborators

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6 papers · 1 filter

math.CV2025

Degenerate complex Monge-Ampère type equations on compact Hermitian manifolds and applications II

Haoyuan Sun, Zhiwei Wang

Let $(X, ω)$ be a compact Hermitian manifold of complex dimension $n$ , equipped with a Hermitian metric $ω$ . Let $β$ be a possibly non-closed smooth $(1, 1)$ -form on $X$ such that $\…

math.CV2024

Weak convergence of complex Monge-Ampère operators on compact Hermitian manifolds

Kai Pang, Haoyuan Sun, Zhiwei Wang

Let $(X, ω)$ be a compact Hermitian manifold and let ${β} \in H^{1, 1} (X, R)$ be a real $(1, 1)$ -class with a smooth representative $β$ , such that $\int_{X} β^{n} > 0$ . Assume that t…

math.CV2024

On the Range of a class of Complex Monge-Ampère operators on compact Hermitian manifolds

Yinji Li, Zhiwei Wang, Xiangyu Zhou

Let $(X, ω)$ be a compact Hermitian manifold of complex dimension $n$ . Let $β$ be a smooth real closed $(1, 1)$ form such that there exists a function $ρ\in \mbox{PSH}(X,β)\cap L^{\i…

math.CV2023

A note on Demailly's transcendental Morse inequalities conjecture

Yinji Li, Zhiwei Wang, Xiangyu Zhou

Let $(X, ω)$ be an $n$ -dimensional compact Hermitian manifold with $ω$ a pluriclosed Hermitian metric, i.e. $d d^{c} ω = 0$ . Let ${α}, {β} \in H_{B C}^{1, 1} (X, R)$ be two nef clas…

math.CV2023

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…

math.CV2023

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…