A Serre type vanishing property of the twisted primitive cohomology
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911702468001792 |
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| author | Zhuang, Hao |
| author_facet | Zhuang, Hao |
| contents | We prove a Serre type vanishing property for the twisted primitive cohomology of a symplectic manifold. It is based on Tseng and Zhou's vanishing property under the symplectic flatness. These vanishing properties emphasizes the necessity of the symplectic flatness when generalizing certain results from the sheaf cohomology in complex geometry to the primitive cohomology in symplectic geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21410 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Serre type vanishing property of the twisted primitive cohomology Zhuang, Hao Symplectic Geometry Differential Geometry 53C07 (Primary) 32L20, 14F17 (Secondary) We prove a Serre type vanishing property for the twisted primitive cohomology of a symplectic manifold. It is based on Tseng and Zhou's vanishing property under the symplectic flatness. These vanishing properties emphasizes the necessity of the symplectic flatness when generalizing certain results from the sheaf cohomology in complex geometry to the primitive cohomology in symplectic geometry. |
| title | A Serre type vanishing property of the twisted primitive cohomology |
| topic | Symplectic Geometry Differential Geometry 53C07 (Primary) 32L20, 14F17 (Secondary) |
| url | https://arxiv.org/abs/2605.21410 |