Zhiwei Wang

works on

big cohomology classes 1 capacity convergence 1 complex Monge-Ampère equations 1 pluripotential theory 1 singularity envelopes 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.CV2026

On the extension of KÃ¤hler currents on compact complex manifolds

Jiafu Ning, Kai Pang, Haoyuan Sun +2

Let $(X, I ¨ )$ be a compact KÃ¤hler manifold and let $V \subset X$ be a closed complex submanifold. Coman-Guedj-Zeriahi proposed the problem: is every $I ¨ ∣_{V}$ -plurisubharmonic functio…

math.CV2026

Capacity Stability of Complex Monge-AmpÃ¨re Equations with Moving Prescribed Singularities

Kai Pang, Haoyuan Sun, Zhiwei Wang +1

The paper studies complex Monge‑Ampère equations with moving big cohomology classes and prescribed singularities, showing equivalence of convergence notions in capacity and proving…

math.CV2026

Macaulay representation of the prolongation matrix and the SOS conjecture

Zhiwei Wang, Chenlong Yue, Xiangyu Zhou

Let $z \in C^{n}$ , and let $A (z, z ˉ)$ be a real valued diagonal bihomogeneous Hermitian polynomial such that $A (z, z ˉ) ∥ z ∥^{2}$ is a sum of squares, where $∥ z ∥$ den…

math.CV2025

Log truncated threshold and zero mass conjecture

Fusheng Deng, Yinji Li, Qunhuan Liu +2

For plurisubharmonic functions $I ¨ $ and $I ¨ $ lying in the Cegrell class of $B^{n}$ and $B^{m}$ respectively such that the Lelong number of $I ¨ $ at the origin vanishes…