On a Bogomolov type vanishing theorem
Fuente:
arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866908341121318912 |
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| author | Li, Zhi Meng, Xiangkui Ning, Jiafu Wang, Zhiwei Zhou, Xiangyu |
| author_facet | Li, Zhi Meng, Xiangkui Ning, Jiafu Wang, Zhiwei Zhou, Xiangyu |
| contents | Let $X$ be a compact Kähler manifold and $(L,h)\rightarrow X$ be a pseudoeffective line bundle, such that the curvature $iΘ_{L,h}\geq 0$ in the sense of currents. The main result of the present paper is that $H^n(X,\mathcal{O}(Ω^p_X\otimes L)\otimes \mathcal{I}(h))=0$ for $p\geq n-nd(L,h)+1$. This is a generalization of Bogomolov's vanishing theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_12641 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On a Bogomolov type vanishing theorem Li, Zhi Meng, Xiangkui Ning, Jiafu Wang, Zhiwei Zhou, Xiangyu Complex Variables Let $X$ be a compact Kähler manifold and $(L,h)\rightarrow X$ be a pseudoeffective line bundle, such that the curvature $iΘ_{L,h}\geq 0$ in the sense of currents. The main result of the present paper is that $H^n(X,\mathcal{O}(Ω^p_X\otimes L)\otimes \mathcal{I}(h))=0$ for $p\geq n-nd(L,h)+1$. This is a generalization of Bogomolov's vanishing theorem. |
| title | On a Bogomolov type vanishing theorem |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2207.12641 |