Haoyuan Sun

activity

20242026

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3 papers · 1 filter

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 $\…