Relative pluripotential theory on compact Kähler manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912801005502464 |
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| author | Darvas, Tamás Di Nezza, Eleonora Lu, Chinh H. |
| author_facet | Darvas, Tamás Di Nezza, Eleonora Lu, Chinh H. |
| contents | Given a compact Kähler manifold, we survey the study of complex Monge-Ampère type equations with prescribed singularity type, developed by the authors in a series of papers. In addition, we give a general answer to a question of Guedj--Zeriahi about the finite energy range of the complex Monge-Ampère operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_11584 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relative pluripotential theory on compact Kähler manifolds Darvas, Tamás Di Nezza, Eleonora Lu, Chinh H. Complex Variables Differential Geometry Given a compact Kähler manifold, we survey the study of complex Monge-Ampère type equations with prescribed singularity type, developed by the authors in a series of papers. In addition, we give a general answer to a question of Guedj--Zeriahi about the finite energy range of the complex Monge-Ampère operator. |
| title | Relative pluripotential theory on compact Kähler manifolds |
| topic | Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2303.11584 |