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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.16631 |
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| _version_ | 1866910258695241728 |
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| author | Xu, Chenyang |
| author_facet | Xu, Chenyang |
| contents | We extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. While in general such a pair could behave pathologically, it is observed in this note that K-semistability condition will force them to have a klt anticanonical model, whose stability property is the same as the original pair. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_16631 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | K-stability for varieties with a big anticanonical class Xu, Chenyang Algebraic Geometry Differential Geometry 14J45, 14E30, 32Q20 We extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. While in general such a pair could behave pathologically, it is observed in this note that K-semistability condition will force them to have a klt anticanonical model, whose stability property is the same as the original pair. |
| title | K-stability for varieties with a big anticanonical class |
| topic | Algebraic Geometry Differential Geometry 14J45, 14E30, 32Q20 |
| url | https://arxiv.org/abs/2210.16631 |