On silting complexes associated to n-silting modules
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910026511155200 |
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| author | Hrbek, Michal Hu, Jiangsheng Zhu, Rongmin |
| author_facet | Hrbek, Michal Hu, Jiangsheng Zhu, Rongmin |
| contents | We show that any (n+1)-term silting complex whose intermediate cohomology vanishes gives rise to an n-silting module, as recently introduced by Mao. Specializing to commutative noetherian rings, we show that this assignment induces a bijection on the respective equivalence classes. Furthermore, we prove in the same setting that the n-silting modules always correspond to a tilting complex, that is, the associated t-structure is of derived type. We use this to exhibit new examples of tilting complexes in the setting of Commutative Algebra and also to show that the finite type property for n-silting modules, as formulated by Mao, can in general fail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13794 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On silting complexes associated to n-silting modules Hrbek, Michal Hu, Jiangsheng Zhu, Rongmin Representation Theory Commutative Algebra 16E65, 18G25, 18G20, 18G80 We show that any (n+1)-term silting complex whose intermediate cohomology vanishes gives rise to an n-silting module, as recently introduced by Mao. Specializing to commutative noetherian rings, we show that this assignment induces a bijection on the respective equivalence classes. Furthermore, we prove in the same setting that the n-silting modules always correspond to a tilting complex, that is, the associated t-structure is of derived type. We use this to exhibit new examples of tilting complexes in the setting of Commutative Algebra and also to show that the finite type property for n-silting modules, as formulated by Mao, can in general fail. |
| title | On silting complexes associated to n-silting modules |
| topic | Representation Theory Commutative Algebra 16E65, 18G25, 18G20, 18G80 |
| url | https://arxiv.org/abs/2602.13794 |