Optimal destabilizing centers and equivariant K-stability
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...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/136852 |
| _version_ | 1811091942265585664 |
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| author | Zhuang, Ziquan |
| author_facet | Zhuang, Ziquan |
| author_sort | Zhuang, Ziquan |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T15:10:24Z |
| format | Article |
| id | mit-1721.1/136852 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:10:24Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1368522021-11-02T03:08:21Z Optimal destabilizing centers and equivariant K-stability Zhuang, Ziquan 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. 2021-11-01T14:33:48Z 2021-11-01T14:33:48Z 2021-04-15 2021-09-08T03:23:26Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136852 en https://doi.org/10.1007/s00222-021-01046-0 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. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Zhuang, Ziquan Optimal destabilizing centers and equivariant K-stability |
| title | Optimal destabilizing centers and equivariant K-stability |
| title_full | Optimal destabilizing centers and equivariant K-stability |
| title_fullStr | Optimal destabilizing centers and equivariant K-stability |
| title_full_unstemmed | Optimal destabilizing centers and equivariant K-stability |
| title_short | Optimal destabilizing centers and equivariant K-stability |
| title_sort | optimal destabilizing centers and equivariant k stability |
| url | https://hdl.handle.net/1721.1/136852 |
| work_keys_str_mv | AT zhuangziquan optimaldestabilizingcentersandequivariantkstability |