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arXiv · 2505.24702

Relative non-pluripolar product of currents on compact Hermitian manifolds

Zhenghao Li·Shuang Su
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Abstract

Let $(X,ω)$ be a compact Hermitian manifold. Assume that the Hermitian form $ω$ satisfies $\partial \overline{\partial} ω=0$, $\partial ω\wedge \overline{\partial}ω=0$. We prove that the relative non-pluripolar product is well-defined on $X$ and satisfies the monotonicity property, generalizing Vu's results in the Kähler setting.

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Zhenghao Li, Shuang Su. 2026-08-09. Relative non-pluripolar product of currents on compact Hermitian manifolds. https://arxiv.org/abs/2505.24702

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