ON K-STABILITY OF CALABI-YAU FIBRATIONS
Abstract 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.
Authors
- Masafumi Hattori (ORCID: https://orcid.org/0000-0002-6972-052X)
Institutions
- Kyoto University (JP)
Publication Details
- Journal
- Journal of the Institute of Mathematics of Jussieu
- Published
- 2025-03-19
- DOI
- https://doi.org/10.1017/s1474748024000598
- Citations
- 1
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 4.09