Almost abelian complex nilmanifolds
Fuente:
arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
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| _version_ | 1866909478547357696 |
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| author | Andrada, Adrián Arroyo, Romina M. Barberis, María L. Rollenske, Sönke Wehler, Konstantin |
| author_facet | Andrada, Adrián Arroyo, Romina M. Barberis, María L. Rollenske, Sönke Wehler, Konstantin |
| contents | We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations of almost abelian complex nilmanifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03306 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost abelian complex nilmanifolds Andrada, Adrián Arroyo, Romina M. Barberis, María L. Rollenske, Sönke Wehler, Konstantin Differential Geometry Algebraic Geometry 32Q57, 22E25, 17B30, 32G05 We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations of almost abelian complex nilmanifolds. |
| title | Almost abelian complex nilmanifolds |
| topic | Differential Geometry Algebraic Geometry 32Q57, 22E25, 17B30, 32G05 |
| url | https://arxiv.org/abs/2502.03306 |