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 |
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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 | |
Publication status | Published - May 2015 |