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Partial silting objects and smashing subcategories (1902.05817v1)

Published 15 Feb 2019 in math.RT, math.CT, and math.RA

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.

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