Monge-Ampere type equations on compact Hermitian manifolds with bounded mass property
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918296626921472 |
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| author | Li, Xuan |
| author_facet | Li, Xuan |
| contents | In this paper, we study possibly non-closed big (1, 1)-forms on a compact Hermitian manifold satisfying the bounded mass property. We propose several criteria for the existence of rooftop envelopes. As applications, we establish the existence of solutions to complex Monge-Ampere type equations with prescribed singularities, allowing for non-pluripolar measures on the right-hand side. We also obtain stability results when singularity types vary, by extending the Darvas-Di Nezza-Lu distance to the Hermitian context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13446 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Monge-Ampere type equations on compact Hermitian manifolds with bounded mass property Li, Xuan Complex Variables 32U05, 32U15, 32W20 In this paper, we study possibly non-closed big (1, 1)-forms on a compact Hermitian manifold satisfying the bounded mass property. We propose several criteria for the existence of rooftop envelopes. As applications, we establish the existence of solutions to complex Monge-Ampere type equations with prescribed singularities, allowing for non-pluripolar measures on the right-hand side. We also obtain stability results when singularity types vary, by extending the Darvas-Di Nezza-Lu distance to the Hermitian context. |
| title | Monge-Ampere type equations on compact Hermitian manifolds with bounded mass property |
| topic | Complex Variables 32U05, 32U15, 32W20 |
| url | https://arxiv.org/abs/2601.13446 |