Haoyuan Sun

collaborators

4 papers

math.DG2025

Mixed Hessian inequalities on Hermitian manifolds and applications

Haoyuan Sun

Let $(X, ω)$ be a compact Hermitian manifold of complex dimension $n$ . In this paper we establish a Kołodziej-Nguyen type weak convergence theorem of complex Hessian operators. Util…

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…