2 TAKUMI MURAYAMA acyclic complexes

Abstract

We classify all the localizing subcategories of the derived category D(R) of modules over a noetherian ring R, after developing the theory of unbounded complexes over R. Then, we use this classification to classify thick subcategories of the derived category D(R)proj of bounded complexes of projective modules over R, and prove Balmer’s reconstruction… (More)

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