Quasi-Gorenstein morphisms of commutative local dg-algebras
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917456979689472 |
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| author | Nason, Zachary Levins, Andrew J. Soto Watson, Ryan |
| author_facet | Nason, Zachary Levins, Andrew J. Soto Watson, Ryan |
| contents | We introduce quasi-Gorenstein morphisms of commutative local dg-algebras and use a Gorenstein version of the virtually small property to characterize them, a result which is new even for homomorphisms of local rings. In a different direction, we characterize exact sequences in a noetherian local ring, in the sense of Avramov, Henriques, and Şega, in terms of quasi-Gorenstein morphisms involving Koszul complexes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02029 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasi-Gorenstein morphisms of commutative local dg-algebras Nason, Zachary Levins, Andrew J. Soto Watson, Ryan Commutative Algebra Rings and Algebras 13B10, 13D09, 13H10, 16E35, 16E45 We introduce quasi-Gorenstein morphisms of commutative local dg-algebras and use a Gorenstein version of the virtually small property to characterize them, a result which is new even for homomorphisms of local rings. In a different direction, we characterize exact sequences in a noetherian local ring, in the sense of Avramov, Henriques, and Şega, in terms of quasi-Gorenstein morphisms involving Koszul complexes. |
| title | Quasi-Gorenstein morphisms of commutative local dg-algebras |
| topic | Commutative Algebra Rings and Algebras 13B10, 13D09, 13H10, 16E35, 16E45 |
| url | https://arxiv.org/abs/2605.02029 |