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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.14264 |
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| _version_ | 1866918061412450304 |
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| author | Deng, Fusheng Li, Yinji Liu, Qunhuan Zhou, Xiangyu |
| author_facet | Deng, Fusheng Li, Yinji Liu, Qunhuan Zhou, Xiangyu |
| contents | We show that the Grauert blow-down of a holomorphic negative line bundle $L$ over a compact complex space is a quadratic transform if and only if $k_0L^*$ is very ample and $(k_0+1)L^*$ is globally generated, where $k_0$ is the initial order of $L^*$, namely, the minimal integer such that $k_0^*$ has nontrivial holomorphic section. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of negative line bundles whose Grauert blow-down are quadratic transforms Deng, Fusheng Li, Yinji Liu, Qunhuan Zhou, Xiangyu Complex Variables We show that the Grauert blow-down of a holomorphic negative line bundle $L$ over a compact complex space is a quadratic transform if and only if $k_0L^*$ is very ample and $(k_0+1)L^*$ is globally generated, where $k_0$ is the initial order of $L^*$, namely, the minimal integer such that $k_0^*$ has nontrivial holomorphic section. |
| title | Characterization of negative line bundles whose Grauert blow-down are quadratic transforms |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2506.14264 |