Optimal destabilizing centers and equivariant K-stability
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222_2021_1046_ReferencePDF.pdf
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Author(s)
Zhuang, Ziquan
Date Issued
April 2021
Journal
Inventiones mathematicae
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00222-021-01046-0
