A local-global principle for small triangulated categories
Category Theory
2019-02-20 v2 Commutative Algebra
Representation Theory
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.
Cite
@article{arxiv.1305.1668,
title = {A local-global principle for small triangulated categories},
author = {Dave Benson and Srikanth B. Iyengar and Henning Krause},
journal= {arXiv preprint arXiv:1305.1668},
year = {2019}
}
Comments
24 pages. Final version. Accepted for publication with the Mathematical Proceedings of the Cambridge Philosophical Society