A question on klt type varieties of Han and Jiang
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916035769139200 |
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| author | Liu, Jihao |
| author_facet | Liu, Jihao |
| contents | We prove that being of klt type is not an open condition in flat families of varieties. This answers a question of Han and Jiang. The construction in this paper substantially uses generative AI: the general idea for the counterexample was suggested by ChatGPT Pro 5.5, and the explicit example was found and proved by the Rethlas system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22250 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A question on klt type varieties of Han and Jiang Liu, Jihao Algebraic Geometry 14E30, 13A35, 14B05 We prove that being of klt type is not an open condition in flat families of varieties. This answers a question of Han and Jiang. The construction in this paper substantially uses generative AI: the general idea for the counterexample was suggested by ChatGPT Pro 5.5, and the explicit example was found and proved by the Rethlas system. |
| title | A question on klt type varieties of Han and Jiang |
| topic | Algebraic Geometry 14E30, 13A35, 14B05 |
| url | https://arxiv.org/abs/2605.22250 |