Partial silting objects and smashing subcategories
Representation Theory
2019-02-18 v1 Category Theory
Rings and Algebras
Abstract
We study smashing subcategories of a triangulated category with coproducts via silting theory. Our main result states that for derived categories of dg modules over a non-positive differential graded ring, every compactly generated localising subcategory is generated by a partial silting object. In particular, every such smashing subcategory admits a silting t-structure.
Cite
@article{arxiv.1902.05817,
title = {Partial silting objects and smashing subcategories},
author = {Lidia Angeleri Hügel and Frederik Marks and Jorge Vitória},
journal= {arXiv preprint arXiv:1902.05817},
year = {2019}
}