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arxiv: 1105.4857 · v7 · pith:QW7GQAJ2new · submitted 2011-05-24 · 🧮 math.AG

Ind-coherent sheaves

classification 🧮 math.AG
keywords sheavesind-coherentcategorybecomescategoricalcloselycorrespondencecrucial
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We develop the theory of ind-coherent sheaves on schemes and stacks. The category of ind-coherent sheaves is closely related, but inequivalent, to the category of quasi-coherent sheaves, and the difference becomes crucial for the formulation of the categorical Geometric Langlands Correspondence.

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  1. Semiorthogonal decompositions for stacks

    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.