Perfectly generated $t$-structures for algebraic stacks
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916823768760320 |
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| author | Lank, Pat |
| author_facet | Lank, Pat |
| contents | This work studies $t$-structures for the derived category of quasi-coherent sheaves on a quasi-compact quasi-separated algebraic stack. Specifically, using Thomason filtrations, we classify those $t$-structures which are generated by perfect complexes and satisfy a tensor compatibility. Interestingly, the only input required is the classification à la Hrbek for the affine scheme case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18803 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perfectly generated $t$-structures for algebraic stacks Lank, Pat Algebraic Geometry Commutative Algebra 14A30 (primary), 14F08, 18G80, 14D23 This work studies $t$-structures for the derived category of quasi-coherent sheaves on a quasi-compact quasi-separated algebraic stack. Specifically, using Thomason filtrations, we classify those $t$-structures which are generated by perfect complexes and satisfy a tensor compatibility. Interestingly, the only input required is the classification à la Hrbek for the affine scheme case. |
| title | Perfectly generated $t$-structures for algebraic stacks |
| topic | Algebraic Geometry Commutative Algebra 14A30 (primary), 14F08, 18G80, 14D23 |
| url | https://arxiv.org/abs/2506.18803 |