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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2105.11945 |
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| _version_ | 1866929361103355904 |
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| author | Ishii, Shihoko |
| author_facet | Ishii, Shihoko |
| contents | We study a pair consisting of a smooth 3-fold defined over an algebraically closed field and a general real ideal. We show that the minimal log discrepancy of every such a pair is computed by a prime divisor obtained by at most two weighted blow-ups. This bound is regarded as a weighted blow-up version of Mustata-Nakamura Conjecture. We also show that if the mld of such a pair is not less than 1, then it is computed by at most one weighted blow-up. As a consequence, ACC of mld holds for such pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_11945 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A bound of the number of weighted blow-ups to compute the minimal log discrepancy for smooth 3-folds Ishii, Shihoko Algebraic Geometry 14B05 We study a pair consisting of a smooth 3-fold defined over an algebraically closed field and a general real ideal. We show that the minimal log discrepancy of every such a pair is computed by a prime divisor obtained by at most two weighted blow-ups. This bound is regarded as a weighted blow-up version of Mustata-Nakamura Conjecture. We also show that if the mld of such a pair is not less than 1, then it is computed by at most one weighted blow-up. As a consequence, ACC of mld holds for such pairs. |
| title | A bound of the number of weighted blow-ups to compute the minimal log discrepancy for smooth 3-folds |
| topic | Algebraic Geometry 14B05 |
| url | https://arxiv.org/abs/2105.11945 |