Ultra-test ideals in rings with finitely generated anti-canonical algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915141435523072 |
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| author | Yamaguchi, Tatsuki |
| author_facet | Yamaguchi, Tatsuki |
| contents | When anti-canonical rings are finitely generated, we give a characterization of adjoint ideals using ultra-Frobenii, a characteristic zero analogue of Frobenius morphisms. This characterization enables us to give an alternative proof of a result of Zhuang, which states that if a ring is of klt type, then so is any of its pure subrings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03816 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ultra-test ideals in rings with finitely generated anti-canonical algebras Yamaguchi, Tatsuki Algebraic Geometry 03C20, 13A35, 14B05, 14F18, 14J17 When anti-canonical rings are finitely generated, we give a characterization of adjoint ideals using ultra-Frobenii, a characteristic zero analogue of Frobenius morphisms. This characterization enables us to give an alternative proof of a result of Zhuang, which states that if a ring is of klt type, then so is any of its pure subrings. |
| title | Ultra-test ideals in rings with finitely generated anti-canonical algebras |
| topic | Algebraic Geometry 03C20, 13A35, 14B05, 14F18, 14J17 |
| url | https://arxiv.org/abs/2502.03816 |