K-semistability of log Fano cone singularities
Algebraic Geometry
2025-04-08 v2 Differential Geometry
Abstract
We give a non-Archimedean characterization of K-semistability of log Fano cone singularities, and show that it agrees with the definition originally defined by Collins--Sz\'ekelyhidi. As an application, we show that to test K-semistability, it suffices to test special test configurations. We also show that special test configurations give rise to lc places of torus equivariant bounded complements.
Keywords
Cite
@article{arxiv.2408.05189,
title = {K-semistability of log Fano cone singularities},
author = {Yuchen Liu and Yueqiao Wu},
journal= {arXiv preprint arXiv:2408.05189},
year = {2025}
}
Comments
To appear in Michigan Math. J