Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910083909156864 |
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| author | Hai, Le Mau Van Phu, Nguyen Tung, Trinh |
| author_facet | Hai, Le Mau Van Phu, Nguyen Tung, Trinh |
| contents | In this note, we establish several results concerning the continuity (or weak convergence) of the complex Monge-Ampère operator on compact Hermitian manifolds. At the end of this note, we find a weak solution of the complex Monge-Ampère equation on a compact Hermitian manifold under the assumption of the existence of a smooth subsolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26406 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds Hai, Le Mau Van Phu, Nguyen Tung, Trinh Complex Variables 32U05, 32Q15, 32W20 In this note, we establish several results concerning the continuity (or weak convergence) of the complex Monge-Ampère operator on compact Hermitian manifolds. At the end of this note, we find a weak solution of the complex Monge-Ampère equation on a compact Hermitian manifold under the assumption of the existence of a smooth subsolution. |
| title | Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds |
| topic | Complex Variables 32U05, 32Q15, 32W20 |
| url | https://arxiv.org/abs/2603.26406 |