Proves that recollements of weakly approximable triangulated categories induce short exact sequences on triangulated subcategories and associated big singularity categories under mild assumptions, with applications to derived categories of rings, DG algebras, and schemes.
Rickard, Morita theory of derived categories, J
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Localization theorems for weakly approximable triangulated categories
Proves that recollements of weakly approximable triangulated categories induce short exact sequences on triangulated subcategories and associated big singularity categories under mild assumptions, with applications to derived categories of rings, DG algebras, and schemes.