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

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Zhenghao Li, Shuang Su. 2025-05-30. Relative non-pluripolar product of currents on compact Hermitian manifolds. https://arxiv.org/abs/2505.24702

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