Shrinking gradient Kähler-Ricci solitons are simply-connected
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913725416472576 |
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| author | Esparza, Carlos |
| author_facet | Esparza, Carlos |
| contents | We show that smooth polarized Fano fibrations have no nontrivial finite covers. Using results by Sun-Zhang and Wylie, it follows that shrinking Kähler-Ricci solitons are simply-connected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shrinking gradient Kähler-Ricci solitons are simply-connected Esparza, Carlos Differential Geometry Algebraic Geometry We show that smooth polarized Fano fibrations have no nontrivial finite covers. Using results by Sun-Zhang and Wylie, it follows that shrinking Kähler-Ricci solitons are simply-connected. |
| title | Shrinking gradient Kähler-Ricci solitons are simply-connected |
| topic | Differential Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2503.05838 |