Optimal destabilizing centers and equivariant K-stability
Algebraic Geometry
2021-09-22 v3 Differential Geometry
Abstract
We give an algebraic proof of the equivalence of equivariant K-semistability (resp. equivariant K-polystability) with geometric K-semistability (resp. geometric K-polystability). Along the way we also prove the existence and uniqueness of minimal optimal destabilizing centers on K-unstable log Fano pairs.
Keywords
Cite
@article{arxiv.2004.09413,
title = {Optimal destabilizing centers and equivariant K-stability},
author = {Ziquan Zhuang},
journal= {arXiv preprint arXiv:2004.09413},
year = {2021}
}
Comments
23 pages. v3: minor revision following referee's comments. To appear in Invent. Math