Optimal destabilizing centers and equivariant K-stability

By Ziquan Zhuang. Inventiones Mathematicae, 2020

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/db8b4bdbbca8ccbe3ba38cb8704507797bff51ea