Strong formality of toric and homogeneous compact Kähler manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908602856374272 |
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| author | Placini, Giovanni Stelzig, Jonas Zoller, Leopold |
| author_facet | Placini, Giovanni Stelzig, Jonas Zoller, Leopold |
| contents | All compact Kähler, or even $\partial\bar\partial$-manifolds, are rationally formal. Not all of them are strongly formal. Yet some of them are: For complete smooth complex toric varieties and homogeneous compact Kähler manifolds we show the stronger property that they are both rationally and strongly formal in a compatible way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17288 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong formality of toric and homogeneous compact Kähler manifolds Placini, Giovanni Stelzig, Jonas Zoller, Leopold Algebraic Topology Algebraic Geometry Differential Geometry All compact Kähler, or even $\partial\bar\partial$-manifolds, are rationally formal. Not all of them are strongly formal. Yet some of them are: For complete smooth complex toric varieties and homogeneous compact Kähler manifolds we show the stronger property that they are both rationally and strongly formal in a compatible way. |
| title | Strong formality of toric and homogeneous compact Kähler manifolds |
| topic | Algebraic Topology Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2510.17288 |