Criteria for a fiberwise Fujiki/Kähler family to be locally Moishezon/projective
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918028686393344 |
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| author | Chen, Jian |
| author_facet | Chen, Jian |
| contents | Inspired by certain topics in local deformation theory, we primarily utilize F. Campana's methods to investigate how far a fiberwise Fujiki family is from being locally Moishezon and how far a fiberwise Kähler family is from being locally projective.
We investigate these questions from two main perspectives: cohomological data and global semi-positivity data on the total space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Criteria for a fiberwise Fujiki/Kähler family to be locally Moishezon/projective Chen, Jian Algebraic Geometry Complex Variables Primary 14B12, Secondary 14D05, 32J27, 14A10 Inspired by certain topics in local deformation theory, we primarily utilize F. Campana's methods to investigate how far a fiberwise Fujiki family is from being locally Moishezon and how far a fiberwise Kähler family is from being locally projective. We investigate these questions from two main perspectives: cohomological data and global semi-positivity data on the total space. |
| title | Criteria for a fiberwise Fujiki/Kähler family to be locally Moishezon/projective |
| topic | Algebraic Geometry Complex Variables Primary 14B12, Secondary 14D05, 32J27, 14A10 |
| url | https://arxiv.org/abs/2503.07548 |