On structures and discrepancies of klt Calabi--Yau pairs
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912054749691904 |
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| author | Jiao, Junpeng |
| author_facet | Jiao, Junpeng |
| contents | We study the structures of klt Calabi--Yau pairs. We show that the discrepancies of log centers of all klt Calabi--Yau varieties with fixed dimension are in a finite set. As a corollary, we show that the index of 4-dimensional non-canonical Calabi--Yau variety is bounded. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13321 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On structures and discrepancies of klt Calabi--Yau pairs Jiao, Junpeng Algebraic Geometry We study the structures of klt Calabi--Yau pairs. We show that the discrepancies of log centers of all klt Calabi--Yau varieties with fixed dimension are in a finite set. As a corollary, we show that the index of 4-dimensional non-canonical Calabi--Yau variety is bounded. |
| title | On structures and discrepancies of klt Calabi--Yau pairs |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.13321 |