Homological properties of the relative Frobenius morphism
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915851339300864 |
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| author | McDonald, Peter M. |
| author_facet | McDonald, Peter M. |
| contents | This work concerns maps of commutative noetherian local rings containing a field of positive characteristic. Given such a map $φ$ of finite flat dimension, the results relate homological properties of the relative Frobenius of $φ$ to those of the fibers of $φ$. The focus is on the complete intersection property and the Gorenstein property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological properties of the relative Frobenius morphism McDonald, Peter M. Commutative Algebra 13A35, 13D05, 13B10, 13H10 This work concerns maps of commutative noetherian local rings containing a field of positive characteristic. Given such a map $φ$ of finite flat dimension, the results relate homological properties of the relative Frobenius of $φ$ to those of the fibers of $φ$. The focus is on the complete intersection property and the Gorenstein property. |
| title | Homological properties of the relative Frobenius morphism |
| topic | Commutative Algebra 13A35, 13D05, 13B10, 13H10 |
| url | https://arxiv.org/abs/2401.01880 |