André-Quillen homology and ascent of complete intersection flat dimensions
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909730989932544 |
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| author | Sather-Wagstaff, Keri Ann Sharif, Tirdad |
| author_facet | Sather-Wagstaff, Keri Ann Sharif, Tirdad |
| contents | Using André-Quillen homology, we prove an ascent result for different types of complete intersection flat dimensions along an essentially of finite type flat local homomorphism with complete intersection closed fiber. As an application of our result, we extend a result of Majadas Soto and of Avramov, Henriques and Şega on the André-Quillen dimension of surjective local homomorphisms to that of essentially of finite types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07097 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | André-Quillen homology and ascent of complete intersection flat dimensions Sather-Wagstaff, Keri Ann Sharif, Tirdad Commutative Algebra Primary: 13D03, 13D05, Secondary: 13B10, 14B25 Using André-Quillen homology, we prove an ascent result for different types of complete intersection flat dimensions along an essentially of finite type flat local homomorphism with complete intersection closed fiber. As an application of our result, we extend a result of Majadas Soto and of Avramov, Henriques and Şega on the André-Quillen dimension of surjective local homomorphisms to that of essentially of finite types. |
| title | André-Quillen homology and ascent of complete intersection flat dimensions |
| topic | Commutative Algebra Primary: 13D03, 13D05, Secondary: 13B10, 14B25 |
| url | https://arxiv.org/abs/2508.07097 |