When is the canonical conductor minimal?
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917265543266304 |
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| author | Esentepe, Özgür |
| author_facet | Esentepe, Özgür |
| contents | For a one dimensional analytically unramified Cohen-Macaulay local ring $R$, the blowup algebra of the canonical ideal is a module finite birational extension. The conductor of this extension always contains the conductor of $R$. We study the case when there is equality. This is the case where $R$ is far from being almost Gorenstein. We study this property within the landscape of numerical semigroup rings and local Arf rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22966 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | When is the canonical conductor minimal? Esentepe, Özgür Commutative Algebra For a one dimensional analytically unramified Cohen-Macaulay local ring $R$, the blowup algebra of the canonical ideal is a module finite birational extension. The conductor of this extension always contains the conductor of $R$. We study the case when there is equality. This is the case where $R$ is far from being almost Gorenstein. We study this property within the landscape of numerical semigroup rings and local Arf rings. |
| title | When is the canonical conductor minimal? |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2509.22966 |