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arXiv · 2603.26406

Continuity of the complex Monge-Amp\`ere operator on compact Hermitian manifolds

Le Mau Hai·Nguyen Van Phu·Trinh Tung
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Abstract

In this note, we establish several results concerning the continuity (or weak convergence) of the complex Monge-Amp\`ere operator on compact Hermitian manifolds. At the end of this note, we find a weak solution of the complex Monge-Amp\`ere equation on a compact Hermitian manifold under the assumption of the existence of a smooth subsolution.

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Le Mau Hai, Nguyen Van Phu, Trinh Tung. 2026-03-27. Continuity of the complex Monge-Amp\`ere operator on compact Hermitian manifolds. https://arxiv.org/abs/2603.26406

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