Zhiwei Wang

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20242026

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4 papers · 1 filter

math.CV2026

A Newton-Okounkov Body Viewpoint on the SOS Conjecture

Zhiwei Wang, Chenlong Yue, Xiangyu Zhou

Let $z \in C^{n}$ be the complex coordinates on $C^{n}$ , and $A (z, z ˉ)$ be a real-valued Hermitian polynomial. The famous Ebenfelt's SOS conjecture asks for the minim…

math.CV2025

Degenerate Complex Hessian type equations on compact Hermitian manifolds and Applications

Kai Pang, Haoyuan Sun, Zhiwei Wang +1

The aim of this paper is to further develop the theory of the degenerate complex Hessian equations on compact Hermitian manifolds. Building upon the generalization of the Bedford-T…

math.CV2025

Degenerate complex Monge-AmpÃ¨re type equations on compact Hermitian manifolds and applications II

Haoyuan Sun, Zhiwei Wang

Let $(X, I ¨ )$ be a compact Hermitian manifold of complex dimension $n$ , equipped with a Hermitian metric $I ¨ $ . Let $I^^{2}$ be a possibly non-closed smooth $(1, 1)$ -form on $X$ such that…

math.CV2024

Weak convergence of complex Monge-AmpÃ¨re operators on compact Hermitian manifolds

Kai Pang, Haoyuan Sun, Zhiwei Wang

Let $(X, I ¨ )$ be a compact Hermitian manifold and let ${I^^{2}} \in H^{1, 1} (X, R)$ be a real $(1, 1)$ -class with a smooth representative $I^^{2}$ , such that $\int_XÎ²^n>0$. Assume th…