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arXiv · 2004.09413

Optimal destabilizing centers and equivariant K-stability

Ziquan Zhuang
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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.

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Ziquan Zhuang. 2020-04-20. Optimal destabilizing centers and equivariant K-stability. https://doi.org/10.1007/s00222-021-01046-0

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