Haoyuan Sun

activity

20242026

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5 papers · 1 filter

math.CV2026

On the extension of Kähler currents on compact complex manifolds

Jiafu Ning, Kai Pang, Haoyuan Sun +2

Let $(X, ω)$ be a compact Kähler manifold and let $V \subset X$ be a closed complex submanifold. Coman-Guedj-Zeriahi proposed the problem: is every $ω ∣_{V}$ -plurisubharmonic function o…

math.CV2026

Capacity Stability of Complex Monge-Ampère Equations with Moving Prescribed Singularities

Kai Pang, Haoyuan Sun, Zhiwei Wang +1

For complex Monge-Ampère equations with moving big cohomology classes and prescribed model singularities of positive Monge-Ampère mass, we prove that, under total variation converg…

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-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…