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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.15723 |
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| _version_ | 1866916535718641664 |
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| author | Liu, Yuchen Zhou, Chuyu |
| author_facet | Liu, Yuchen Zhou, Chuyu |
| contents | In this paper, we develop an algebraic K-stability theory (e.g. special test configuration theory and optimal destabilization theory) for log Fano $\mathbb R$-pairs, and construct a proper K-moduli space to parametrize K-polystable log Fano $\mathbb R$-pairs with some fixed invariants (e.g. dimension, volume, coefficients). All of these are well-known for log Fano $\mathbb Q$-pairs, and the strategy in this paper is trying to reduce the problems (in many cases) to $\mathbb Q$-coefficients case rather than rebuilding the whole program as in $\mathbb Q$-coefficients case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15723 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | K-moduli with real coefficients Liu, Yuchen Zhou, Chuyu Algebraic Geometry In this paper, we develop an algebraic K-stability theory (e.g. special test configuration theory and optimal destabilization theory) for log Fano $\mathbb R$-pairs, and construct a proper K-moduli space to parametrize K-polystable log Fano $\mathbb R$-pairs with some fixed invariants (e.g. dimension, volume, coefficients). All of these are well-known for log Fano $\mathbb Q$-pairs, and the strategy in this paper is trying to reduce the problems (in many cases) to $\mathbb Q$-coefficients case rather than rebuilding the whole program as in $\mathbb Q$-coefficients case. |
| title | K-moduli with real coefficients |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.15723 |