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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2309.03692 |
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| _version_ | 1866913499650719744 |
|---|---|
| author | Guo, Ruoyi |
| author_facet | Guo, Ruoyi |
| contents | In this paper, I generalize the formula that the integration of Chern forms of hermitian line bundles equals the algebraic intersection number of the underlying line bundles. I generalize it to a formula on a quasi-projective variety over a complete valuation field which might be archimedean or non-archimedean. Our result has a close relation with the integration of Betti forms and the notion of non-degeneracy of a closed subvariety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_03692 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An integration formula of Chern forms on quasi-projective varieties Guo, Ruoyi Number Theory In this paper, I generalize the formula that the integration of Chern forms of hermitian line bundles equals the algebraic intersection number of the underlying line bundles. I generalize it to a formula on a quasi-projective variety over a complete valuation field which might be archimedean or non-archimedean. Our result has a close relation with the integration of Betti forms and the notion of non-degeneracy of a closed subvariety. |
| title | An integration formula of Chern forms on quasi-projective varieties |
| topic | Number Theory |
| url | https://arxiv.org/abs/2309.03692 |