A local-global principle for small triangulated categories

Dave Benson, Srikanth Iyengar, Henning Krause

Research output: Contribution to journalArticle

3 Citations (Scopus)
4 Downloads (Pure)

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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Local-global Principle
Triangulated Category
Functor
Local Cohomology
Noetherian Ring
Stratification
Commutative Ring

Cite this

A local-global principle for small triangulated categories. / Benson, Dave; Iyengar, Srikanth; Krause, Henning.

In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 158, No. 3, 05.2015, p. 451-476.

Research output: Contribution to journalArticle

Benson, Dave ; Iyengar, Srikanth ; Krause, Henning. / A local-global principle for small triangulated categories. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2015 ; Vol. 158, No. 3. pp. 451-476.
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