Invariant and non-invariant almost complex structures on compact quotients of Lie groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911262674255872 |
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| author | Sillari, Lorenzo Tomassini, Adriano |
| author_facet | Sillari, Lorenzo Tomassini, Adriano |
| contents | In this paper we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures with special properties. We focus on the different behavior of invariant and non-invariant structures, with a special attention to their canonical bundle and Kodaira dimension. We provide new examples of computations of Kodaira dimension of invariant and non-invariant structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08740 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant and non-invariant almost complex structures on compact quotients of Lie groups Sillari, Lorenzo Tomassini, Adriano Differential Geometry 32Q60, 53C15 (Primary) 22E25, 22E60 (Secondary) In this paper we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures with special properties. We focus on the different behavior of invariant and non-invariant structures, with a special attention to their canonical bundle and Kodaira dimension. We provide new examples of computations of Kodaira dimension of invariant and non-invariant structures. |
| title | Invariant and non-invariant almost complex structures on compact quotients of Lie groups |
| topic | Differential Geometry 32Q60, 53C15 (Primary) 22E25, 22E60 (Secondary) |
| url | https://arxiv.org/abs/2501.08740 |