On diminished multiplier ideal and the termination of flips
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912305805000704 |
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| author | Kim, Donghyeon |
| author_facet | Kim, Donghyeon |
| contents | In this paper, we develop a theory of diminished multiplier ideals on singular varieties which was introduced by Hacon, and developed by Lehmann. We prove a result regarding the termination of certain type of flips with scaling of an ample divisor if the Cartier index is bounded, and if $κ_σ(K_X+Δ)\ge \dim X-1$ holds. The proof uses a theory of diminished multiplier ideal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11902 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On diminished multiplier ideal and the termination of flips Kim, Donghyeon Algebraic Geometry 14E30, 14F18 In this paper, we develop a theory of diminished multiplier ideals on singular varieties which was introduced by Hacon, and developed by Lehmann. We prove a result regarding the termination of certain type of flips with scaling of an ample divisor if the Cartier index is bounded, and if $κ_σ(K_X+Δ)\ge \dim X-1$ holds. The proof uses a theory of diminished multiplier ideal. |
| title | On diminished multiplier ideal and the termination of flips |
| topic | Algebraic Geometry 14E30, 14F18 |
| url | https://arxiv.org/abs/2405.11902 |