Some criteria for uniform K-stability
Algebraic Geometry
2025-01-06 v1 Differential Geometry
Abstract
We prove some criteria for uniform K-stability of log Fano pairs. In particular, we show that uniform K-stability is equivalent to -invariant having a positive lower bound. Then we study the relation between optimal destabilization conjecture and the conjectural equivalence between uniform K-stability and K-stability in the twisted setting.
Keywords
Cite
@article{arxiv.1907.05293,
title = {Some criteria for uniform K-stability},
author = {Chuyu Zhou and Ziquan Zhuang},
journal= {arXiv preprint arXiv:1907.05293},
year = {2025}
}