Holomorphic Koszul-Brylinski homologies of Poisson blow-ups
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915396650532864 |
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| author | Chen, Xiaojun Chen, Youming Yang, Song Yang, Xiangdong |
| author_facet | Chen, Xiaojun Chen, Youming Yang, Song Yang, Xiangdong |
| contents | We derive a blow-up formula for holomorphic Koszul-Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the $E_{1}$-degeneracy of the Dolbeault-Koszul-Brylinski spectral sequence under Poisson blow-ups, and compute the holomorphic Koszul-Brylinski homology for del Pezzo surfaces and two complex nilmanifolds with holomorphic Poisson structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_09764 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Holomorphic Koszul-Brylinski homologies of Poisson blow-ups Chen, Xiaojun Chen, Youming Yang, Song Yang, Xiangdong Differential Geometry We derive a blow-up formula for holomorphic Koszul-Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the $E_{1}$-degeneracy of the Dolbeault-Koszul-Brylinski spectral sequence under Poisson blow-ups, and compute the holomorphic Koszul-Brylinski homology for del Pezzo surfaces and two complex nilmanifolds with holomorphic Poisson structures. |
| title | Holomorphic Koszul-Brylinski homologies of Poisson blow-ups |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2202.09764 |