Complex symplectic structures: deformations and cohomology
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908434845138944 |
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| author | Bazzoni, Giovanni Freibert, Marco Latorre, Adela Tardini, Nicoletta |
| author_facet | Bazzoni, Giovanni Freibert, Marco Latorre, Adela Tardini, Nicoletta |
| contents | We show that complex symplectic structures need not be preserved under small deformations, and we find sufficient conditions for this to happen. We study various cohomologies of compact complex symplectic manifolds, obtaining some topological obstructions to their existence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03940 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complex symplectic structures: deformations and cohomology Bazzoni, Giovanni Freibert, Marco Latorre, Adela Tardini, Nicoletta Differential Geometry Complex Variables Symplectic Geometry 53C56, 53D05, 22E25 We show that complex symplectic structures need not be preserved under small deformations, and we find sufficient conditions for this to happen. We study various cohomologies of compact complex symplectic manifolds, obtaining some topological obstructions to their existence. |
| title | Complex symplectic structures: deformations and cohomology |
| topic | Differential Geometry Complex Variables Symplectic Geometry 53C56, 53D05, 22E25 |
| url | https://arxiv.org/abs/2507.03940 |