A local-global principle for small triangulated categories

Dave Benson, Srikanth Iyengar, Henning Krause

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Abstract

Local cohomology functors are constructed for the category of cohomological functors on an essentially small triangulated category ⊺ equipped with an action of a commutative noetherian ring. This is used to establish a local-global principle and to develop a notion of stratification, for ⊺ and the cohomological functors on it, analogous to such concepts for compactly generated triangulated categories.
Original languageEnglish
Pages (from-to)451-476
Number of pages26
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume158
Issue number3
Early online date2 Mar 2015
DOIs
Publication statusPublished - May 2015

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