The Nakai Conjecture for isolated hypersurface singularities of modality $\le 2$
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912223401607168 |
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| author | Li, Rui Xiao, Zida Zuo, Huaiqing |
| author_facet | Li, Rui Xiao, Zida Zuo, Huaiqing |
| contents | The well-known Nakai Conjecture concerns a very natural question: For an algebra of finite type over a characteristic zero field, if the ring of its differential operators is generated by the first order derivations, is the algebra regular? And it is natural to extend the Nakai Conjecture to local domains, in this paper, we verify it for isolated hypersurface singularities of modality $\le 2$, this extends the existing works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04672 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Nakai Conjecture for isolated hypersurface singularities of modality $\le 2$ Li, Rui Xiao, Zida Zuo, Huaiqing Algebraic Geometry 14B05, 32S05 The well-known Nakai Conjecture concerns a very natural question: For an algebra of finite type over a characteristic zero field, if the ring of its differential operators is generated by the first order derivations, is the algebra regular? And it is natural to extend the Nakai Conjecture to local domains, in this paper, we verify it for isolated hypersurface singularities of modality $\le 2$, this extends the existing works. |
| title | The Nakai Conjecture for isolated hypersurface singularities of modality $\le 2$ |
| topic | Algebraic Geometry 14B05, 32S05 |
| url | https://arxiv.org/abs/2502.04672 |