Equivariant Chern character for coherent sheaves and Riemann-Roch-Grothendieck
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916760326766592 |
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| author | Xu, Guangzhe |
| author_facet | Xu, Guangzhe |
| contents | In this paper, we develope an equivariant theory of Chern characters for coherent sheaves on compact complex manifolds with finite group actions, taking values in Bott-Chern cohomology classes. Furthermore, we establish the corresponding Riemann-Roch-Grothendieck theorem in this context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivariant Chern character for coherent sheaves and Riemann-Roch-Grothendieck Xu, Guangzhe Algebraic Geometry Complex Variables Differential Geometry In this paper, we develope an equivariant theory of Chern characters for coherent sheaves on compact complex manifolds with finite group actions, taking values in Bott-Chern cohomology classes. Furthermore, we establish the corresponding Riemann-Roch-Grothendieck theorem in this context. |
| title | Equivariant Chern character for coherent sheaves and Riemann-Roch-Grothendieck |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2505.20594 |