A local-global principle for small triangulated categories

Dave Benson; Srikanth Iyengar; Henning Krause

doi:10.1017/S0305004115000067

A local-global principle for small triangulated categories

Dave Benson
, Srikanth Iyengar
, Henning Krause

Mathematical Science

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

14 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 language	English
Pages (from-to)	451-476
Number of pages	26
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	158
Issue number	3
Early online date	2 Mar 2015
DOIs	https://doi.org/10.1017/S0305004115000067
Publication status	Published - May 2015

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A local-global principle for small triangulated categories
This is the author's manuscript accepted for publication in Mathematical Proceedings of the Cambridge Philosophical Society. The final published article is available at doi: 10.1017/S0305004115000067
Accepted author manuscript, 394 KB

Cite this

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A local-global principle for small triangulated categories

Abstract

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