On K-stability of Calabi-Yau fibrations
Algebraic Geometry
2025-04-16 v2 Differential Geometry
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.
Cite
@article{arxiv.2203.11460,
title = {On K-stability of Calabi-Yau fibrations},
author = {Masafumi Hattori},
journal= {arXiv preprint arXiv:2203.11460},
year = {2025}
}
Comments
v2: 44 pages, improved presentation