Optimal destabilizing centers and equivariant K-stability

• 成果类型: Article
• 署名作者: Zhuang, Ziquan
• 署名单位: Massachusetts Institute of Technology (MIT)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-021-01046-0
• 发表日期: 2021
• 页码: 195-223
• 关键词: kahler-einstein metrics; thresholds; VALUATIONS; invariant; VARIETIES

摘要

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.