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arXiv · 2510.22774

Modulus of continuity for solutions to complex Monge-Amp\`ere equations on Hermitian manifolds

Junbang Liu
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Abstract

In this note, we give a proof of the uniform log-continuity of the solution to complex Monge-Amp\`ere equations on compact Hermitian manifolds, which is a generalization of the result of Guo-Phong-Tong-Wang in the K\"ahler case.

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Junbang Liu. 2025-10-26. Modulus of continuity for solutions to complex Monge-Amp\`ere equations on Hermitian manifolds. https://arxiv.org/abs/2510.22774

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