Noncommutative Knörrer periodicity via equivariantization
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914026067329024 |
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| author | Chen, Xiao-Wu Wu, Wenchao |
| author_facet | Chen, Xiao-Wu Wu, Wenchao |
| contents | We establish noncommutative Knörrer periodicity for projective-module factorizations over an arbitrary ring, using the equivariantization theory with respect to various actions by a cyclic group of order two. We obtain an explicit quasi-inverse of the periodicity. We compare the periodicity with a certain tensor functor between big singularity categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05725 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noncommutative Knörrer periodicity via equivariantization Chen, Xiao-Wu Wu, Wenchao Rings and Algebras Mathematical Physics Representation Theory We establish noncommutative Knörrer periodicity for projective-module factorizations over an arbitrary ring, using the equivariantization theory with respect to various actions by a cyclic group of order two. We obtain an explicit quasi-inverse of the periodicity. We compare the periodicity with a certain tensor functor between big singularity categories. |
| title | Noncommutative Knörrer periodicity via equivariantization |
| topic | Rings and Algebras Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2509.05725 |