Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex Kähler manifolds
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914211215441920 |
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| author | Zou, Yongpan |
| author_facet | Zou, Yongpan |
| contents | In this paper, we establish a logarithmic vanishing theorem on weakly pseudoconvex Kähler manifolds, where the divisor may have infinitely many irreducible components. This result serves as a generalization of Norimatsu's findings on compact Kähler manifolds. We derive vanishing theorems for certain direct image sheaves as a direct corollary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_11458 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex Kähler manifolds Zou, Yongpan Complex Variables Algebraic Geometry In this paper, we establish a logarithmic vanishing theorem on weakly pseudoconvex Kähler manifolds, where the divisor may have infinitely many irreducible components. This result serves as a generalization of Norimatsu's findings on compact Kähler manifolds. We derive vanishing theorems for certain direct image sheaves as a direct corollary. |
| title | Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex Kähler manifolds |
| topic | Complex Variables Algebraic Geometry |
| url | https://arxiv.org/abs/2201.11458 |