On K-stability of Calabi-Yau fibrations
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866908318704861184 |
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| author | Hattori, Masafumi |
| author_facet | Hattori, Masafumi |
| contents | We show that Calabi-Yau fibrations over curves are uniformly K-stable in an adiabatic sense if and only if the base curves are K-stable in the log-twisted sense. Moreover, we prove that there are cscK metrics for such fibrations when the total spaces are smooth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_11460 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On K-stability of Calabi-Yau fibrations Hattori, Masafumi Algebraic Geometry Differential Geometry 14D06, 14L24 We show that Calabi-Yau fibrations over curves are uniformly K-stable in an adiabatic sense if and only if the base curves are K-stable in the log-twisted sense. Moreover, we prove that there are cscK metrics for such fibrations when the total spaces are smooth. |
| title | On K-stability of Calabi-Yau fibrations |
| topic | Algebraic Geometry Differential Geometry 14D06, 14L24 |
| url | https://arxiv.org/abs/2203.11460 |