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arxiv: 1108.5351 · v3 · pith:R4IUP7A7new · submitted 2011-08-26 · 🧮 math.AG

On some finiteness questions for algebraic stacks

Vladimir Drinfeld , Dennis Gaitsgory This is my paper
classification 🧮 math.AG
keywords algebraiccategoryhypothesisundercertaincompactlycontinuousd-modules
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We prove that under a certain mild hypothesis, the DG category of D-modules on a quasi-compact algebraic stack is compactly generated. We also show that under the same hypothesis, the functor of global sections on the DG category of quasi-coherent sheaves is continuous.

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    math.AG 2026-05 unverdicted novelty 6.0

    Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.