Optimal destabilizing centers and equivariant K-stability
Author(s)
Zhuang, Ziquan
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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.
Date issued
2021-04Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Inventiones mathematicae
Publisher
Springer Berlin Heidelberg
ISSN
1432-1297
0020-9910