On the Equality of Test Ideals
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916093753294848 |
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| author | Aberbach, Ian Huneke, Craig Polstra, Thomas |
| author_facet | Aberbach, Ian Huneke, Craig Polstra, Thomas |
| contents | We provide a natural criterion which implies equality of the finitistic test ideal and test ideal in local rings of prime characteristic. Most notably, we show that the criterion is met by every local weakly $F$-regular ring whose anti-canonical algebra is Noetherian on the punctured spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02202 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Equality of Test Ideals Aberbach, Ian Huneke, Craig Polstra, Thomas Commutative Algebra Algebraic Geometry We provide a natural criterion which implies equality of the finitistic test ideal and test ideal in local rings of prime characteristic. Most notably, we show that the criterion is met by every local weakly $F$-regular ring whose anti-canonical algebra is Noetherian on the punctured spectrum. |
| title | On the Equality of Test Ideals |
| topic | Commutative Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2301.02202 |