Failure of Boundedness for Generalised Log Canonical Surfaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912317320462336 |
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| author | Hacon, Christopher Jiang, Xiaowei |
| author_facet | Hacon, Christopher Jiang, Xiaowei |
| contents | In this paper, we construct counterexamples to the boundedness of generalised log canonical models of surfaces with fixed appropriate invariants, where the underlying varieties can have arbitrary Kodaira dimension. This answers a question of Birkar and the first author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06482 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Failure of Boundedness for Generalised Log Canonical Surfaces Hacon, Christopher Jiang, Xiaowei Algebraic Geometry 14A20, 14E30, 14J10, 14J17 In this paper, we construct counterexamples to the boundedness of generalised log canonical models of surfaces with fixed appropriate invariants, where the underlying varieties can have arbitrary Kodaira dimension. This answers a question of Birkar and the first author. |
| title | Failure of Boundedness for Generalised Log Canonical Surfaces |
| topic | Algebraic Geometry 14A20, 14E30, 14J10, 14J17 |
| url | https://arxiv.org/abs/2504.06482 |