English

Relative non-pluripolar product of currents on compact Hermitian manifolds

Differential Geometry 2025-06-02 v1 Complex Variables

Abstract

On a class of compact Hermitian manifolds including compact K\"{a}hler manifolds, we prove that the the relative non-pluripolar product is always well-defined. We also prove the monotonicity of the relative non-pluripolar product in terms of masses on such manifolds.

Keywords

Cite

@article{arxiv.2505.24702,
  title  = {Relative non-pluripolar product of currents on compact Hermitian manifolds},
  author = {Zhenghao Li and Shuang Su},
  journal= {arXiv preprint arXiv:2505.24702},
  year   = {2025}
}

Comments

14 pages, comments are welcome!