Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes
Representation Theory
2015-04-22 v2
Abstract
If (A,B) and (A',B') are co-t-structures of a triangulated category, then (A',B') is called intermediate if A \subseteq A' \subseteq \Sigma A. Our main results show that intermediate co-t-structures are in bijection with two-term silting subcategories, and also with support tau-tilting subcategories under some assumptions. We also show that support tau-tilting subcategories are in bijection with certain finitely generated torsion classes. These generalise results by Adachi, Iyama, and Reiten.
Keywords
Cite
@article{arxiv.1311.4891,
title = {Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes},
author = {Osamu Iyama and Peter Jorgensen and Dong Yang},
journal= {arXiv preprint arXiv:1311.4891},
year = {2015}
}
Comments
To appear in Algebra and Number Theory. Final accepted version. 16 pages, minor revision of previous version