Global embeddings of weakly pseudoconvex complex spaces and refined approximation theorems
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915696045195264 |
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| author | Watanabe, Yuta |
| author_facet | Watanabe, Yuta |
| contents | In this paper, by refining approximation theorems for holomorphic sections of adjoint line bundles, it is proved that the regular locus of a weakly pseudoconvex complex space admitting a positive line bundle can be holomorphically embedded into a complex projective space. As an application of approximation theorems, it is shown that the Union problem can be solved for weakly pseudoconvex manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global embeddings of weakly pseudoconvex complex spaces and refined approximation theorems Watanabe, Yuta Complex Variables Primary 32Q40, Secondary 32F32, 14F18, 32L10 In this paper, by refining approximation theorems for holomorphic sections of adjoint line bundles, it is proved that the regular locus of a weakly pseudoconvex complex space admitting a positive line bundle can be holomorphically embedded into a complex projective space. As an application of approximation theorems, it is shown that the Union problem can be solved for weakly pseudoconvex manifolds. |
| title | Global embeddings of weakly pseudoconvex complex spaces and refined approximation theorems |
| topic | Complex Variables Primary 32Q40, Secondary 32F32, 14F18, 32L10 |
| url | https://arxiv.org/abs/2512.03572 |