A freeness criterion for complexes with derived actions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909513845571584 |
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| author | Brochard, Sylvain Iyengar, Srikanth B. Khare, Chandrashekhar B. |
| author_facet | Brochard, Sylvain Iyengar, Srikanth B. Khare, Chandrashekhar B. |
| contents | Inspired by the patching method of Calegari and Geraghty, and a conjecture of de Smit that has been proved by the first author, we present a conjectural freeness criterion without patching for complexes over commutative noetherian local rings with derived actions, and verify it in several cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12868 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A freeness criterion for complexes with derived actions Brochard, Sylvain Iyengar, Srikanth B. Khare, Chandrashekhar B. Commutative Algebra Number Theory 13C10 (primary), 13D02, 11F80 (secondary) Inspired by the patching method of Calegari and Geraghty, and a conjecture of de Smit that has been proved by the first author, we present a conjectural freeness criterion without patching for complexes over commutative noetherian local rings with derived actions, and verify it in several cases. |
| title | A freeness criterion for complexes with derived actions |
| topic | Commutative Algebra Number Theory 13C10 (primary), 13D02, 11F80 (secondary) |
| url | https://arxiv.org/abs/2502.12868 |