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Classifying thick subcategories of perfect complexes

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  • 03 Mathematical Logic And Foundations
  • 13 Commutative Rings And Algebras
  • 55 Algebraic Topology
  • Mathematics


Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes D_{per}(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of (iso-classes for) indecomposable injective modules are essentially used.

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