A local-global principle for small triangulated categories
arXiv:1305.1668 · doi:10.1017/S0305004115000067
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.
24 pages. Final version. Accepted for publication with the Mathematical Proceedings of the Cambridge Philosophical Society