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arXiv · 1305.1668

A local-global principle for small triangulated categories

Dave Benson·Srikanth B. 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 T 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 T and the cohomological functors on it, analogous to such concepts for compactly generated triangulated categories.

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Dave Benson, Srikanth B. Iyengar, Henning Krause. 2014-07-27. A local-global principle for small triangulated categories. https://doi.org/10.1017/s0305004115000067

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