Residual regularity in tensor triangular geometry
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911721015214080 |
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| author | Van Rooy, Emmy |
| author_facet | Van Rooy, Emmy |
| contents | We investigate a new notion of regularity for tensor triangulated categories, called residual regularity. We show that residual regularity descends and ascends via finite separable extensions and we classify all finite groups whose derived category of permutation modules is residually regular. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27244 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Residual regularity in tensor triangular geometry Van Rooy, Emmy Category Theory Algebraic Geometry Representation Theory We investigate a new notion of regularity for tensor triangulated categories, called residual regularity. We show that residual regularity descends and ascends via finite separable extensions and we classify all finite groups whose derived category of permutation modules is residually regular. |
| title | Residual regularity in tensor triangular geometry |
| topic | Category Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2605.27244 |