Ind-coherent sheaves

2011/05/24 by Gaitsgory, Dennis · 4 citations
#14F05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1105.4857

Abstract

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.

Cited by

• Cartier duality via Mittag-Leffler modules
• Categorified Koszul duality of algebras
• On a tamely ramified local relative Langlands conjecture via categorical representations
• A categorical perspective on non-abelian localization

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• Ind-geometric stacks
• Singular support of coherent sheaves, and the geometric Langlands\n conjecture
• DG Indschemes
• An Alternative Model for Coherent Sheaves over Noetherian Schemes
• Perverse coherent sheaves (after Deligne)