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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.15744 |
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| _version_ | 1866916494031454208 |
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| author | Liu, Yuan |
| author_facet | Liu, Yuan |
| contents | We prove that any nilpotent regular covering over a compact Kähler surface is holomorphically convex if it does not have two ends. Furthermore, we show that the Malcev covering of any compact Kähler manifold has at most one end. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15744 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the holomorphic convexity of nilpotent coverings over compact Kähler surfaces Liu, Yuan Complex Variables Group Theory 32E05, 20F18, 22E25 We prove that any nilpotent regular covering over a compact Kähler surface is holomorphically convex if it does not have two ends. Furthermore, we show that the Malcev covering of any compact Kähler manifold has at most one end. |
| title | On the holomorphic convexity of nilpotent coverings over compact Kähler surfaces |
| topic | Complex Variables Group Theory 32E05, 20F18, 22E25 |
| url | https://arxiv.org/abs/2411.15744 |