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arXiv · 2506.18803

Perfectly generated $t$-structures for algebraic spaces

Michal Hrbek·Pat Lank·Simone Pizzirani
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Abstract

This work studies $t$-structures for the derived category of complexes with quasi-coherent cohomology on algebraic spaces. The main result shows that the relative standard $t$-structures are compactly generated. As an application, we classify compactly generated tensor $t$-structures via Thomason filtrations on the underlying topological space.

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Michal Hrbek, Pat Lank, Simone Pizzirani. 2025-06-23. Perfectly generated $t$-structures for algebraic spaces. https://arxiv.org/abs/2506.18803

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