The Levi problem over generalized Hirzebruch manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918379950964736 |
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| author | Ivashkovych, S. Miebach, C. Shevchishin, V. |
| author_facet | Ivashkovych, S. Miebach, C. Shevchishin, V. |
| contents | We review classical methods to solve the Levi problem in the presence of symmetries, established by Hirschowitz and by Grauert-Remmert-Ueda. We then illustrate these methods by solving the Levi problem in some new situations, namely generalized Hirzebruch manifolds and primary Hopf surfaces of non-diagonal type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08247 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Levi problem over generalized Hirzebruch manifolds Ivashkovych, S. Miebach, C. Shevchishin, V. Complex Variables Primary 32E40, Secondary 32M05 We review classical methods to solve the Levi problem in the presence of symmetries, established by Hirschowitz and by Grauert-Remmert-Ueda. We then illustrate these methods by solving the Levi problem in some new situations, namely generalized Hirzebruch manifolds and primary Hopf surfaces of non-diagonal type. |
| title | The Levi problem over generalized Hirzebruch manifolds |
| topic | Complex Variables Primary 32E40, Secondary 32M05 |
| url | https://arxiv.org/abs/2603.08247 |