A new proof of non-Cohen-Macaulayness of Bertin's example
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911279449374720 |
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| author | Seno, Takuma |
| author_facet | Seno, Takuma |
| contents | Bertin's example is famous as the first known Noetherian UFD that is not Cohen-Macaulay. In the example, she employed a ring of invariants and proved that the ring is not Cohen-Macaulay by calculating a homogeneous system of parameter and generators of it. In this paper, we give a new proof by arguments on ring theoretic properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07490 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new proof of non-Cohen-Macaulayness of Bertin's example Seno, Takuma Commutative Algebra Bertin's example is famous as the first known Noetherian UFD that is not Cohen-Macaulay. In the example, she employed a ring of invariants and proved that the ring is not Cohen-Macaulay by calculating a homogeneous system of parameter and generators of it. In this paper, we give a new proof by arguments on ring theoretic properties. |
| title | A new proof of non-Cohen-Macaulayness of Bertin's example |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2509.07490 |