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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2404.17988 |
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| _version_ | 1866929329938628608 |
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| author | Tang, Longke |
| author_facet | Tang, Longke |
| contents | We show that ind-smoothness of flat ring maps can be tested on constructible stratifications, even for maps of non-Noetherian rings. We prove this by generalizing ind-smoothness and ind-lci to a sequence of conditions on animated ring maps called ind-$d$-smoothness, and showing all at once that they can be tested on constructible stratifications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Slicing criterion for ind-smooth ring maps Tang, Longke Commutative Algebra We show that ind-smoothness of flat ring maps can be tested on constructible stratifications, even for maps of non-Noetherian rings. We prove this by generalizing ind-smoothness and ind-lci to a sequence of conditions on animated ring maps called ind-$d$-smoothness, and showing all at once that they can be tested on constructible stratifications. |
| title | Slicing criterion for ind-smooth ring maps |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2404.17988 |