Bott-Chern characteristic classes of blow-ups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866913459760791552 |
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| author | Wu, Xiaojun Yang, Song Yang, Xiangdong |
| author_facet | Wu, Xiaojun Yang, Song Yang, Xiangdong |
| contents | We prove a blow-up formula for Bott-Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann-Roch without denominators for the Bott-Chern characteristic classes. In particular, as an application, we study the behaviour of the Bott-Chern characteristic classes of the Iwasawa manifold under a blow-up transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03210 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bott-Chern characteristic classes of blow-ups Wu, Xiaojun Yang, Song Yang, Xiangdong Algebraic Geometry Differential Geometry We prove a blow-up formula for Bott-Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann-Roch without denominators for the Bott-Chern characteristic classes. In particular, as an application, we study the behaviour of the Bott-Chern characteristic classes of the Iwasawa manifold under a blow-up transformation. |
| title | Bott-Chern characteristic classes of blow-ups |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2408.03210 |