Perfectly generated $t$-structures for algebraic stacks
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.
Publication Details
- Journal
- ArXiv.org
- Published
- 2025-06-23
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00