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.

Partial silting objects and smashing subcategories

Jorge Vitória
2020-01-01

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.
2020
Smashing subcategory; Silting object; Partial silting object; t-Structure
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/283500
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