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Perfectly generated $t$-structures for algebraic stacks

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arxiv 2506.18803 v4 pith:F3P4TCEW submitted 2025-06-23 math.AG math.AC

Michal Hrbek , Pat Lank , Simone Pizzirani This is my paper · ORCID
classification math.AGmath.AC
keywords generatedstructuresalgebraiccompactlystacksapplicationcategoryclassify
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abstract

This work studies $t$-structures for the derived category of quasi-coherent sheaves on suitable algebraic stacks. The main result shows that the standard $t$-structure is compactly generated. As an application, we classify compactly generated tensor $t$-structures via Thomason filtrations on the underlying topological space.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Perfect generation for regular algebraic stacks

    math.AG 2026-01 conditional novelty 8.0 of 10

    Every regular Noetherian algebraic stack with quasi-finite diagonal has its derived category generated by a single perfect complex.

  2. Proxy smallness meets $t$-structures

    math.AG 2026-05 unverdicted novelty 6.5 of 10

    Defines proxy smallness for t-structures to characterize locally complete intersection schemes and classify preaisles on D^b_coh topologically.

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